Advanced beamforming and feedback methods for MIMO wireless communication systems

TECHNICAL FIELD

The present disclosure relates generally to a codebook design and structure associated with a two dimensional transmit antenna array. Such two dimensional arrays are associated with a type of multiple-input-multiple-output (MIMO) system often termed “full-dimension” MIMO (FD-MIMO).

BACKGROUND

Wireless communication has been one of the most successful innovations in modern history. Recently, the number of subscribers to wireless communication services exceeded five billion and continues to grow quickly. The demand of wireless data traffic is rapidly increasing due to the growing popularity among consumers and businesses of smart phones and other mobile data devices, such as tablets, “note pad” computers, net books, eBook readers, and machine type of devices. In order to meet the high growth in mobile data traffic and support new applications and deployments, improvements in radio interface efficiency and coverage is of paramount importance.

SUMMARY

The present disclosure relates to a pre-5th-Generation (5G) or 5G communication system to be provided for supporting higher data rates Beyond 4th-Generation (4G) communication system such as Long Term Evolution (LTE).

In a first embodiment, a user equipment (UE) capable of communicating with a base station (BS) is provided. The UE includes a transceiver configured to receive a signal comprising a CSI process configuration, wherein the CSI process configuration comprises a CSI-RS resource configuration to identify a CSI-RS resource and a CSI-RS on the CSI-RS resource, and, and transmit a precoding matrix indicator to the base station, and a controller configured to derive the precoding matrix indicator utilizing the CSI-RS on the CSI-RS resource, wherein when the CSI-RS resource configuration indicates 4 CSI-RS ports: the precoding matrix indicator has a 3-bit size when a rank to derive the precoding matrix indicator is one (1); the precoding matrix indicator has a 3-bit size when the rank is two (2); the precoding matrix indicator has a 2-bit size when the rank is three (3); and the precoding matrix indicator has a 1-bit size when the rank is four (4); and wherein when the CSI-RS resource configuration indicates 8 CSI-RS ports: the precoding matrix indicator has a 4-bit size when the rank to derive the precoding matrix indicator is one (1); and the precoding matrix indicator has a 4-bit size when the rank is two (2).

In a second embodiment, a base station capable of communicating with a user equipment (UE) is provided. The base station includes a transmitter configured to transmit a signal comprising a CSI process configuration, wherein the CSI process configuration comprises a CSI-RS resource configuration to indicate a CSI-RS resource carrying a CSI-RS; a receiver configured to receive a CSI feedback comprising a precoding matrix indicator derived based on the at least one CSI-RS carried on at least one CSI-RS resource, wherein when the CSI-RS resource configuration indicates 4 CSI-RS ports: the precoding matrix indicator has a 3-bit size when a rank to derive the precoding matrix indicator is one (1); the precoding matrix indicator has a 3-bit size when the rank is two (2); the precoding matrix indicator has a 2-bit size when the rank is three (3); and the precoding matrix indicator has a 1-bit size when the rank is four (4); and wherein when the CSI-RS resource configuration indicates 8 CSI-RS ports: the precoding matrix indicator has a 4-bit size when the rank to derive the precoding matrix indicator is one (1); and the precoding matrix indicator has a 4-bit size when the rank is two (2), and a controller configured to identify a precoder matrix according to a codebook based on the CSI feedback.

In a third embodiment, a method for communicating with a base station (BS) is provided. The method includes receiving a signal comprising a CSI process configuration, wherein the CSI process configuration comprises a CSI-RS resource configuration to identify a CSI-RS resource and a CSI-RS on the CSI-RS resource; and deriving the precoding matrix indicator utilizing the CSI-RS on the CSI-RS resource, wherein when the CSI-RS resource configuration indicates 4 CSI-RS ports: the precoding matrix indicator has a 3-bit size when a rank to derive the precoding matrix indicator is one (1); the precoding matrix indicator has a 3-bit size when the rank is two (2); the precoding matrix indicator has a 2-bit size when the rank of CSI-RS is three (3); and the precoding matrix indicator has a 1-bit size when the rank of CSI-RS is four (4); and transmitting a precoding matrix indicator to the BS.

In a fourth embodiment, a method for communicating with a user equipment (UE) is provided. The method includes transmitting a signal comprising a CSI process configuration, wherein the CSI process configuration comprises a CSI-RS resource configuration to indicate a CSI-RS resource carrying a CSI-RS; receiving a CSI feedback comprising a precoding matrix indicator derived based on the at least one CSI-RS carried on at least one CSI-RS resource, wherein when the CSI-RS resource configuration indicates 4 CSI-RS ports: the precoding matrix indicator has a 3-bit size when a rank to derive the precoding matrix indicator is one (1); the precoding matrix indicator has a 3-bit size when the rank is two (2); the precoding matrix indicator has a 2-bit size when the rank is three (3); and the precoding matrix indicator has a 1-bit size when the rank is four (4); and wherein when the CSI-RS resource configuration indicates 8 CSI-RS ports: the precoding matrix indicator has a 4-bit size when the rank to derive the precoding matrix indicator is one (1); and the precoding matrix indicator has a 4-bit size when the rank is two (2), identifying a precoder matrix according to a codebook based on the CSI feedback.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the present disclosure and its advantages, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like reference numerals represent like parts:

FIG. 1 illustrates an example wireless network according to this disclosure;

FIGS. 2A and 2B illustrate example wireless transmit and receive paths according to this disclosure;

FIG. 3A illustrates an example user equipment according to this disclosure;

FIG. 3B illustrates an example enhanced NodeB (eNB) according to this disclosure;

FIG. 4 illustrates logical port to antenna port mapping 400 that may be employed within the wireless communication system according to some embodiments of the current disclosure;

FIG. 5A illustrates a 4×4 dual-polarized antenna array 500 with antenna port (AP) indexing 1 and FIG. 5B is the same 4×4 dual-polarized antenna array 510 with antenna port indexing (AP) indexing 2;

FIG. 6 illustrates numbering of TX antenna elements (or TXRU) on a dual-polarized antenna array 600;

FIG. 7 illustrates a new codebook construction 700 constructed for P=16 antenna ports comprising N1=8 and N2=2 according to some embodiments of the present disclosure;

FIG. 8 illustrates that a UE is configured with a design of PUCCH feedback mode 1-1, according to some embodiments of the present disclosure;

FIG. 9 illustrates a design of PUCCH feedback mode 1-1 according to some embodiments of the present disclosure;

FIG. 10 illustrates a design of PUCCH mode 1-1 according to some embodiments of the present disclosure;

FIG. 11 illustrates a design of PUCCH mode 1-1 according to some embodiments of the present disclosure;

FIG. 12 illustrates a codebook construction according to some embodiments of the present disclosure;

FIG. 13 illustrates a design of PUCCH feedback mode 1-1 according to one embodiments of the present disclosure;

FIGS. 14A and 14B illustrate PUCCH feedback mode 2-1 according to the embodiments of the present disclosure;

FIG. 15 illustrates a design of PUCCH mode 1-1 with the periodic CSI feedback according to some embodiments of the present disclosure;

FIG. 16 illustrates eNB's beamformed CSI-RS transmission according to some embodiments of the present disclosure; and

FIG. 17 illustrates eNB's beamformed CSI-RS transmission according to some embodiments of the present disclosure.

DETAILED DESCRIPTION

FIGS. 1 through 17, discussed below, and the various embodiments used to describe the principles of the present disclosure in this patent document are by way of illustration only and should not be construed in any way to limit the scope of the disclosure. Those skilled in the art will understand that the principles of the present disclosure may be implemented in any suitably arranged wireless communication system.

The following documents and standards descriptions are hereby incorporated by reference into the present disclosure as if fully set forth herein: (1) 3rd generation partnership project 3GPP TS 36.211, “E-UTRA, Physical channels and modulation”, Release-12; (2) 3GPP TS 36.212, “E-UTRA, Multiplexing and channel coding”, Release-12; and (3) 3GPP TS 36.213, “E-UTRA, Physical layer procedures”, Release-12.

To meet the demand for wireless data traffic having increased since deployment of 4G communication systems, efforts have been made to develop an improved 5G or pre-5G communication system. Therefore, the 5G or pre-5G communication system is also called a ‘Beyond 4G Network’ or a ‘Post LTE System’.

The 5G communication system is considered to be implemented in higher frequency (mmWave) bands, e.g., 60 GHz bands, so as to accomplish higher data rates. To decrease propagation loss of the radio waves and increase the transmission distance, the beamforming, massive multiple-input multiple-output (MIMO), Full Dimensional MIMO (FD-MIMO), array antenna, an analog beam forming, large scale antenna techniques are discussed in 5G communication systems.

In addition, in 5G communication systems, development for system network improvement is under way based on advanced small cells, cloud Radio Access Networks (RANs), ultra-dense networks, device-to-device (D2D) communication, wireless backhaul, moving network, cooperative communication, Coordinated Multi-Points (CoMP), reception-end interference cancellation and the like.

In the 5G system, Hybrid FSK and QAM Modulation (FQAM) and sliding window superposition coding (SWSC) as an advanced coding modulation (ACM), and filter bank multi carrier (FBMC), non-orthogonal multiple access (NOMA), and sparse code multiple access (SCMA) as an advanced access technology have been developed.

FIG. 1 illustrates an example wireless network 100 according to this disclosure. The embodiment of the wireless network 100 shown in FIG. 1 is for illustration only. Other embodiments of the wireless network 100 could be used without departing from the scope of this disclosure.

The wireless network 100 includes an eNodeB (eNB) 101, an eNB 102, and an eNB 103. The eNB 101 communicates with the eNB 102 and the eNB 103. The eNB 101 also communicates with at least one Internet Protocol (IP) network 130, such as the Internet, a proprietary IP network, or other data network.

Depending on the network type, other well-known terms may be used instead of “eNodeB” or “eNB,” such as “base station” or “access point.” For the sake of convenience, the terms “eNodeB” and “eNB” are used in this patent document to refer to network infrastructure components that provide wireless access to remote terminals. Also, depending on the network type, other well-known terms may be used instead of “user equipment” or “UE,” such as “mobile station,” “subscriber station,” “remote terminal,” “wireless terminal,” or “user device.” For the sake of convenience, the terms “user equipment” and “UE” are used in this patent document to refer to remote wireless equipment that wirelessly accesses an eNB, whether the UE is a mobile device (such as a mobile telephone or smartphone) or is normally considered a stationary device (such as a desktop computer or vending machine).

The eNB 102 provides wireless broadband access to the network 130 for a first plurality of user equipments (UEs) within a coverage area 120 of the eNB 102. The first plurality of UEs includes a UE 111, which may be located in a small business (SB); a UE 112, which may be located in an enterprise (E); a UE 113, which may be located in a WiFi hotspot (HS); a UE 114, which may be located in a first residence (R); a UE 115, which may be located in a second residence (R); and a UE 116, which may be a mobile device (M) like a cell phone, a wireless laptop, a wireless PDA, or the like. The eNB 103 provides wireless broadband access to the network 130 for a second plurality of UEs within a coverage area 125 of the eNB 103. The second plurality of UEs includes the UE 115 and the UE 116. In some embodiments, one or more of the eNBs 101-103 may communicate with each other and with the UEs 111-116 using 5G, long-term evolution (LTE), LTE-A, WiMAX, or other advanced wireless communication techniques.

Dotted lines show the approximate extents of the coverage areas 120 and 125, which are shown as approximately circular for the purposes of illustration and explanation only. It should be clearly understood that the coverage areas associated with eNBs, such as the coverage areas 120 and 125, may have other shapes, including irregular shapes, depending upon the configuration of the eNBs and variations in the radio environment associated with natural and man-made obstructions.

As described in more detail below, one or more of BS 101, BS 102 and BS 103 include 2D antenna arrays as described in embodiments of the present disclosure. In some embodiments, one or more of BS 101, BS 102 and BS 103 support the codebook design and structure for systems having 2D antenna arrays.

Although FIG. 1 illustrates one example of a wireless network 100, various changes may be made to FIG. 1. For example, the wireless network 100 could include any number of eNBs and any number of UEs in any suitable arrangement. Also, the eNB 101 could communicate directly with any number of UEs and provide those UEs with wireless broadband access to the network 130. Similarly, each eNB 102-103 could communicate directly with the network 130 and provide UEs with direct wireless broadband access to the network 130. Further, the eNB 101, 102, and/or 103 could provide access to other or additional external networks, such as external telephone networks or other types of data networks.

FIGS. 2A and 2B illustrate example wireless transmit and receive paths according to this disclosure. In the following description, a transmit path 200 may be described as being implemented in an eNB (such as eNB 102), while a receive path 250 may be described as being implemented in a UE (such as UE 116). However, it will be understood that the receive path 250 could be implemented in an eNB and that the transmit path 200 could be implemented in a UE. In some embodiments, the receive path 250 is configured to support the codebook design and structure for systems having 2D antenna arrays as described in embodiments of the present disclosure.

The transmit path 200 includes a channel coding and modulation block 205, a serial-to-parallel (S-to-P) block 210, a size N Inverse Fast Fourier Transform (IFFT) block 215, a parallel-to-serial (P-to-S) block 220, an add cyclic prefix block 225, and an up-converter (UC) 230. The receive path 250 includes a down-converter (DC) 255, a remove cyclic prefix block 260, a serial-to-parallel (S-to-P) block 265, a size N Fast Fourier Transform (FFT) block 270, a parallel-to-serial (P-to-S) block 275, and a channel decoding and demodulation block 280.

In the transmit path 200, the channel coding and modulation block 205 receives a set of information bits, applies coding (such as a low-density parity check (LDPC) coding), and modulates the input bits (such as with Quadrature Phase Shift Keying (QPSK) or Quadrature Amplitude Modulation (QAM)) to generate a sequence of frequency-domain modulation symbols. The serial-to-parallel block 210 converts (such as de-multiplexes) the serial modulated symbols to parallel data in order to generate N parallel symbol streams, where N is the IFFT/FFT size used in the eNB 102 and the UE 116. The size N IFFT block 215 performs an IFFT operation on the N parallel symbol streams to generate time-domain output signals. The parallel-to-serial block 220 converts (such as multiplexes) the parallel time-domain output symbols from the size N IFFT block 215 in order to generate a serial time-domain signal. The add cyclic prefix block 225 inserts a cyclic prefix to the time-domain signal. The up-converter 230 modulates (such as up-converts) the output of the add cyclic prefix block 225 to an RF frequency for transmission via a wireless channel. The signal may also be filtered at baseband before conversion to the RF frequency.

A transmitted RF signal from the eNB 102 arrives at the UE 116 after passing through the wireless channel, and reverse operations to those at the eNB 102 are performed at the UE 116. The down-converter 255 down-converts the received signal to a baseband frequency, and the remove cyclic prefix block 260 removes the cyclic prefix to generate a serial time-domain baseband signal. The serial-to-parallel block 265 converts the time-domain baseband signal to parallel time domain signals. The size N FFT block 270 performs an FFT algorithm to generate N parallel frequency-domain signals. The parallel-to-serial block 275 converts the parallel frequency-domain signals to a sequence of modulated data symbols. The channel decoding and demodulation block 280 demodulates and decodes the modulated symbols to recover the original input data stream.

Each of the eNBs 101-103 may implement a transmit path 200 that is analogous to transmitting in the downlink to UEs 111-116 and may implement a receive path 250 that is analogous to receiving in the uplink from UEs 111-116. Similarly, each of UEs 111-116 may implement a transmit path 200 for transmitting in the uplink to eNBs 101-103 and may implement a receive path 250 for receiving in the downlink from eNBs 101-103.

Each of the components in FIGS. 2A and 2B can be implemented using only hardware or using a combination of hardware and software/firmware. As a particular example, at least some of the components in FIGS. 2A and 2B may be implemented in software, while other components may be implemented by configurable hardware or a mixture of software and configurable hardware. For instance, the FFT block 270 and the IFFT block 215 may be implemented as configurable software algorithms, where the value of size N may be modified according to the implementation.

Furthermore, although described as using FFT and IFFT, this is by way of illustration only and should not be construed to limit the scope of this disclosure. Other types of transforms, such as Discrete Fourier Transform (DFT) and Inverse Discrete Fourier Transform (IDFT) functions, could be used. It will be appreciated that the value of the variable N may be any integer number (such as 1, 2, 3, 4, or the like) for DFT and IDFT functions, while the value of the variable N may be any integer number that is a power of two (such as 1, 2, 4, 8, 16, or the like) for FFT and IFFT functions.

Although FIGS. 2A and 2B illustrate examples of wireless transmit and receive paths, various changes may be made to FIGS. 2A and 2B. For example, various components in FIGS. 2A and 2B could be combined, further subdivided, or omitted and additional components could be added according to particular needs. Also, FIGS. 2A and 2B are meant to illustrate examples of the types of transmit and receive paths that could be used in a wireless network. Any other suitable architectures could be used to support wireless communications in a wireless network.

FIG. 3A illustrates an example UE 116 according to this disclosure. The embodiment of the UE 116 illustrated in FIG. 3A is for illustration only, and the UEs 111-115 of FIG. 1 could have the same or similar configuration. However, UEs come in a wide variety of configurations, and FIG. 3A does not limit the scope of this disclosure to any particular implementation of a UE.

The UE 116 includes an antenna 305, a radio frequency (RF) transceiver 310, transmit (TX) processing circuitry 315, a microphone 320, and receive (RX) processing circuitry 325. The UE 116 also includes a speaker 330, a main processor 340, an input/output (I/O) interface (IF) 345, a keypad 350, a display 355, and a memory 360. The memory 360 includes a basic operating system (OS) program 361 and one or more applications 362.

The RF transceiver 310 receives, from the antenna 305, an incoming RF signal transmitted by an eNB of the network 100. The RF transceiver 310 down-converts the incoming RF signal to generate an intermediate frequency (IF) or baseband signal. The IF or baseband signal is sent to the RX processing circuitry 325, which generates a processed baseband signal by filtering, decoding, and/or digitizing the baseband or IF signal. The RX processing circuitry 325 transmits the processed baseband signal to the speaker 330 (such as for voice data) or to the main processor 340 for further processing (such as for web browsing data).

The TX processing circuitry 315 receives analog or digital voice data from the microphone 320 or other outgoing baseband data (such as web data, e-mail, or interactive video game data) from the main processor 340. The TX processing circuitry 315 encodes, multiplexes, and/or digitizes the outgoing baseband data to generate a processed baseband or IF signal. The RF transceiver 310 receives the outgoing processed baseband or IF signal from the TX processing circuitry 315 and up-converts the baseband or IF signal to an RF signal that is transmitted via the antenna 305.

The main processor 340 can include one or more processors or other processing devices and execute the basic OS program 361 stored in the memory 360 in order to control the overall operation of the UE 116. For example, the main processor 340 could control the reception of forward channel signals and the transmission of reverse channel signals by the RF transceiver 310, the RX processing circuitry 325, and the TX processing circuitry 315 in accordance with well-known principles. In some embodiments, the main processor 340 includes at least one microprocessor or microcontroller.

The main processor 340 is also capable of executing other processes and programs resident in the memory 360, such as operations for channel quality measurement and reporting for systems having 2D antenna arrays as described in embodiments of the present disclosure as described in embodiments of the present disclosure. The main processor 340 can move data into or out of the memory 360 as required by an executing process. In some embodiments, the main processor 340 is configured to execute the applications 362 based on the OS program 361 or in response to signals received from eNBs or an operator. The main processor 340 is also coupled to the I/O interface 345, which provides the UE 116 with the ability to connect to other devices such as laptop computers and handheld computers. The I/O interface 345 is the communication path between these accessories and the main controller 340.

The main processor 340 is also coupled to the keypad 350 and the display unit 355. The operator of the UE 116 can use the keypad 350 to enter data into the UE 116. The display 355 may be a liquid crystal display or other display capable of rendering text and/or at least limited graphics, such as from web sites.

The memory 360 is coupled to the main processor 340. Part of the memory 360 could include a random access memory (RAM), and another part of the memory 360 could include a Flash memory or other read-only memory (ROM).

Although FIG. 3A illustrates one example of UE 116, various changes may be made to FIG. 3A. For example, various components in FIG. 3A could be combined, further subdivided, or omitted and additional components could be added according to particular needs. As a particular example, the main processor 340 could be divided into multiple processors, such as one or more central processing units (CPUs) and one or more graphics processing units (GPUs). Also, while FIG. 3A illustrates the UE 116 configured as a mobile telephone or smartphone, UEs could be configured to operate as other types of mobile or stationary devices.

FIG. 3B illustrates an example eNB 102 according to this disclosure. The embodiment of the eNB 102 shown in FIG. 3B is for illustration only, and other eNBs of FIG. 1 could have the same or similar configuration. However, eNBs come in a wide variety of configurations, and FIG. 3B does not limit the scope of this disclosure to any particular implementation of an eNB. It is noted that eNB 101 and eNB 103 can include the same or similar structure as eNB 102.

As shown in FIG. 3B, the eNB 102 includes multiple antennas 370a-370n, multiple RF transceivers 372a-372n, transmit (TX) processing circuitry 374, and receive (RX) processing circuitry 376. In certain embodiments, one or more of the multiple antennas 370a-370n include 2D antenna arrays. The eNB 102 also includes a controller/processor 378, a memory 380, and a backhaul or network interface 382.

The RF transceivers 372a-372n receive, from the antennas 370a-370n, incoming RF signals, such as signals transmitted by UEs or other eNBs. The RF transceivers 372a-372n down-convert the incoming RF signals to generate IF or baseband signals. The IF or baseband signals are sent to the RX processing circuitry 376, which generates processed baseband signals by filtering, decoding, and/or digitizing the baseband or IF signals. The RX processing circuitry 376 transmits the processed baseband signals to the controller/processor 378 for further processing.

The TX processing circuitry 374 receives analog or digital data (such as voice data, web data, e-mail, or interactive video game data) from the controller/processor 378. The TX processing circuitry 374 encodes, multiplexes, and/or digitizes the outgoing baseband data to generate processed baseband or IF signals. The RF transceivers 372a-372n receive the outgoing processed baseband or IF signals from the TX processing circuitry 374 and up-converts the baseband or IF signals to RF signals that are transmitted via the antennas 370a-370n.

The controller/processor 378 can include one or more processors or other processing devices that control the overall operation of the eNB 102. For example, the controller/processor 378 could control the reception of forward channel signals and the transmission of reverse channel signals by the RF transceivers 372a-372n, the RX processing circuitry 376, and the TX processing circuitry 374 in accordance with well-known principles. The controller/processor 378 could support additional functions as well, such as more advanced wireless communication functions. For instance, the controller/processor 378 can perform the blind interference sensing (BIS) process, such as performed by a BIS algorithm, and decodes the received signal subtracted by the interfering signals. Any of a wide variety of other functions could be supported in the eNB 102 by the controller/processor 378. In some embodiments, the controller/processor 378 includes at least one microprocessor or microcontroller.

The controller/processor 378 is also capable of executing programs and other processes resident in the memory 380, such as a basic OS. The controller/processor 378 is also capable of supporting channel quality measurement and reporting for systems having 2D antenna arrays as described in embodiments of the present disclosure. In some embodiments, the controller/processor 378 supports communications between entities, such as web RTC. The controller/processor 378 can move data into or out of the memory 380 as required by an executing process.

The controller/processor 378 is also coupled to the backhaul or network interface 382. The backhaul or network interface 382 allows the eNB 102 to communicate with other devices or systems over a backhaul connection or over a network. The interface 382 could support communications over any suitable wired or wireless connection(s). For example, when the eNB 102 is implemented as part of a cellular communication system (such as one supporting 5G, LTE, or LTE-A), the interface 382 could allow the eNB 102 to communicate with other eNBs over a wired or wireless backhaul connection. When the eNB 102 is implemented as an access point, the interface 382 could allow the eNB 102 to communicate over a wired or wireless local area network or over a wired or wireless connection to a larger network (such as the Internet). The interface 382 includes any suitable structure supporting communications over a wired or wireless connection, such as an Ethernet or RF transceiver.

The memory 380 is coupled to the controller/processor 378. Part of the memory 380 could include a RAM, and another part of the memory 380 could include a Flash memory or other ROM. In certain embodiments, a plurality of instructions, such as a BIS algorithm is stored in memory. The plurality of instructions are configured to cause the controller/processor 378 to perform the BIS process and to decode a received signal after subtracting out at least one interfering signal determined by the BIS algorithm.

As described in more detail below, the transmit and receive paths of the eNB 102 (implemented using the RF transceivers 372a-372n, TX processing circuitry 374, and/or RX processing circuitry 376) support communication with aggregation of FDD cells and TDD cells.

Although FIG. 3B illustrates one example of an eNB 102, various changes may be made to FIG. 3B. For example, the eNB 102 could include any number of each component shown in FIG. 3. As a particular example, an access point could include a number of interfaces 382, and the controller/processor 378 could support routing functions to route data between different network addresses. As another particular example, while shown as including a single instance of TX processing circuitry 374 and a single instance of RX processing circuitry 376, the eNB 102 could include multiple instances of each (such as one per RF transceiver).

Logical Port to Antenna Port Mapping

FIG. 4 illustrates logical port to antenna port mapping 400 that may be employed within the wireless communication system according to some embodiments of the current disclosure. The embodiment of the port mapping illustrated in FIG. 4 is for illustration only. However, port mappings come in a wide variety of configurations, and FIG. 4 does not limit the scope of this disclosure to any particular implementation of a port mapping.

FIG. 4 illustrates logical port to antenna port mapping 400, according to some embodiments of the current disclosure. In the figure, Tx signals on each logical port is fed into an antenna virtualization matrix (e.g., of a size Mx1), output signals of which are fed into a set of M physical antenna ports. In some embodiments, M corresponds to a total number or quantity of antenna elements on a substantially vertical axis. In some embodiments, M corresponds to a ratio of a total number or quantity of antenna elements to S, on a substantially vertical axis, wherein M and S are chosen to be a positive integer.

In certain embodiments, each labelled antenna element is logically mapped onto a single antenna port. In general, one antenna port can correspond to multiple antenna elements (physical antennas) combined via a virtualization. This 4×4 dual polarized array can then be viewed as 16×2=32-element array of elements. The vertical dimension (consisting of 4 rows) facilitates elevation beamforming in addition to the azimuthal beamforming across the horizontal dimension (consisting of 4 columns of dual polarized antennas). MIMO precoding in Rel. 12 LTE standardization (per TS36.211 sections 6.3.4.2 and 6.3.4.4; and TS36.213 section 7.2.4) was largely designed to offer a precoding gain for one-dimensional antenna array. While fixed beamforming (i.e. antenna virtualization) can be implemented across the elevation dimension, it is unable to reap the potential gain offered by the spatial and frequency selective nature of the channel.

FIG. 6 illustrates another numbering of TX antenna elements (or TXRU) on an dual-polarized antenna array 600 according to embodiments of the present disclosure. The embodiment shown in FIG. 6 is for illustration only. Other embodiments could be used without departing from the scope of the present disclosure.

In certain embodiments, eNB is equipped with 2D rectangular antenna array (or TXRUs), comprising M rows and N columns with P=2 polarized, wherein each element (or TXRU) is indexed with (m, n, p), and m=0, . . . M−1, n=0, . . . , N−1, p=0, . . . , P−1, as illustrated in FIG. 6 with M=N=4. When the example shown in FIG. 6 represents a TXRU array, a TXRU can be associated with multiple antenna elements. In one example (1-dimensional (1D) subarray partition), an antenna array comprising a column with a same polarization of a 2D rectangular array is partitioned into M groups of consecutive elements, and the M groups correspond to the M TXRUs in a column with a same polarization in the TXRU array in FIG. 6. In later embodiments, (M,N) is sometimes denoted as (N_H, N_V) or (N₁, N₂).

In some embodiments, a UE is configured with a CSI-RS resource comprising Q=MNP number of CSI-RS ports, wherein the CSI-RS resource is associated with MNP number of resource elements (REs) in a pair of PRBs in a subframe.

CSI-RS and CSI Feedback Configuration

In some embodiments, a UE is configured with a CSI-RS configuration via higher layer, configuring Q antenna ports—antenna ports A(1) through A(Q). The UE is further configured with CSI reporting configuration via higher layer in association with the CSI-RS configuration.

The CSI reporting configuration includes information element (IE) indicating the CSI-RS decomposition information (or component PMI port configuration). The information element may comprise at least two integers, say N₁and N₂, which respectively indicates a first number of antenna ports for a first dimension, and a second number of antenna ports for a second dimension, wherein Q=N₁−N₂.

One example method of indicating the CSI-RS decomposition (or component PMI port configuration) is described below.

CSIRS decomposition
When Q = 8, (N₁, N₂) ∈ {(2, 4), (4, 2)}.

information or
When Q = 16, (N₁, N₂) ∈ {(2, 8), (4, 4), (8, 2)}.

Component PMI port
When Q = 32, (N₁, N₂) ∈ {(8, 4), (4, 8)}.

configuration

Another example method of indicating the PMI reporting decomposition is to explicitly configure Q and N₁, and implicitly configure N₂.

Component PMI port
Q . . . positive even number, e.g., selected

configuration
from {1, 2, 4, . . . , 32}

N₁. . . positive even number, e.g., selected

from {1, 2, 4, . . . , 16}

N₂= Q/N₁. . . implicitly derived out of

explicitly configured N and N₁.

Another example method of indicating the PMI reporting decomposition is to explicitly configure N₁and N₂, and implicitly configure Q.

Component PMI port
N₁. . . positive even number, e.g., selected

configuration
from {1, 2, 4, . . . , 16}

N₂. . . positive even number, e.g., selected

from {1, 2, 4, . . . , 16}

Q = N₁· N₂. . . implicitly derived

out of explicitly configured N₁and N₂.

Another example method of indicating the PMI reporting decomposition is to explicitly configure M, N, and P, and implicitly configure Q.

Component PMI port
M . . . positive even number, e.g., selected

configuration
from {1, 2, 4, . . . , 16}

N . . . positive even number, e.g., selected

from {1, 2, 4, . . . , 16}

P . . . either 1 or 2

Q = M · N · P . . . implicitly derived

out of explicitly configured M, N, and P.

In one method, either W₁or W₂is further decomposed according to the double codebook structure. For example, W is further decomposed into:

$W_{1} (n, m) = \frac{1}{p_{1}} [\begin{matrix} v_{m} \\ φ_{n} v_{m} \end{matrix}]$

if rank 1; and

$W_{1} (n, m, m^{'}) = \frac{1}{p_{2}} [\begin{matrix} v_{m} & v_{m^{'}} \\ φ_{n} v_{m} & - φ_{n} v_{m^{'}} \end{matrix}]$

if rank 2,

wherein p₁and p₂are normalization factors to make total transmission power 1, v_mis an m-th DFT vector out of a (N₁/2)-Tx DFT codebook with oversampling factor o₁, and φ_nis a co-phase. Furthermore, the index m, m′, n determines the precoder W₁.

If the transmission rank is one (or number of transmission layers is one), then CQI will be derived with

$W = W_{1} \otimes W_{2} = \frac{1}{p_{1}} [\begin{matrix} v_{m} \otimes W_{2} \\ φ_{n} v_{m} \otimes W_{2} \end{matrix}];$

and if the transmission rank is two, then CQI will be derived with

$W = W_{1} \otimes W_{2} |_{columnwiseKP} = \frac{1}{p_{2}} [\begin{matrix} v_{m} \otimes W_{2} & v_{m^{'}} \otimes W_{2} \\ φ_{n} v_{m} \otimes W_{2} & - φ_{n} v_{m^{'}} \otimes W_{2} \end{matrix}] .$

In some embodiments, a UE is configured with a CSI-RS configuration via higher layer, configuring two resources, wherein a first resource is used for CSI-RS transmissions of N₁antenna ports—antenna ports A(1) through A(N₁), and a second resource is used for CSI-RS transmissions of N₂antenna ports—antenna ports B(1) through B(N₂).

When the UE is configured with (N₁, N₂), the UE calculates CQI with a composite precoder constructed with two-component codebooks, N₁-Tx codebook (codebook 1) and N₂-Tx codebook (codebook 2). When W₁and W₂are respectively are precoders of codebook 1 and codebook 2, the composite precoder (of size P×(rank), wherein P=N₁·N₂) is the Kronecker product of the two, W=W₁ custom character W₂. If PMI reporting is configured, the UE will report two component PMI corresponding to selected pair of W₁and W₂. The signals formed with the composite precoder are assumed to be transmitted on antenna ports C(1), . . . , C(P) for the purpose of deriving CQI index. The UE may also assume that reference signals on antenna ports C(1), . . . , C(P) are constructed by a Kronecker product of reference signals on A(1), . . . , A(N₁) and reference signals on B(1), . . . , B(N₂). In other words:

[C(1), . . . , C(P)]^t=[A(1), . . . , A(N₁)]^t[B(1), . . . , B(N₂)]^t.

Relation of Composite Precoder to Antenna Ports

In some embodiments, for the purpose of deriving CQI index, and PMI and RI (if configured), the UE may assume the following:

The PDSCH signals on antenna ports {7, . . . , 6+ν} would result in signals equivalent to corresponding symbols transmitted on antenna ports {15, . . . , 14+P}, as given by

$[\begin{matrix} y^{(15)} (i) \\ ⋮ \\ y^{(14 + P)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(v - 1)} (i) \end{matrix}],$

where x(i)=[x⁽⁰⁾(i) . . . x^(ν-1)(i)]^Tis a vector of symbols from the layer mapping in subclause 6.3.3.2 of 3GPPTS36.211, P is the number of antenna ports of the associated CSI-RS resource, and if P=1, W(i) is 1, otherwise W(i), of size P×ν, is the precoding matrix corresponding to the reported PMI applicable to x(i). The corresponding PDSCH signals transmitted on antenna ports {15 . . . 14+P} would have a ratio of EPRE to CSI-RS EPRE equal to the ratio given in subclause 3GPPTS36.213.

8-Tx Double Codebook

Table 1 and Table 2 are codebooks for rank-1 and rank-2 (1-layer and 2-layer) CSI reporting for UEs configured with 8 Tx antenna port transmissions. To determine a CW for each codebook, two indices, i.e., i_tand i₂have to be selected. In these precoder expressions, the following two variables are used:

- φ=e^{j πn/2}
- v_m=[1 e^{j2 πm/32}e^{j4 πm/32}e^{j6 πm/32}]^T.

TABLE 1

Codebook for 1-layer CSI reporting using antenna ports 15 to 22

i₂

i₁
0
1
2
3

0-15
W_2i₁_,0⁽¹⁾
W_2i₁_,1⁽¹⁾
W_2i₁_,2⁽¹⁾
W_2i₁_,3⁽¹⁾

i₂

i₁
4
5
6
7

0-15
W_2i₁_+1,0⁽¹⁾
W_2i₁_+1,1⁽¹⁾
W_2i₁_+1,2⁽¹⁾
W_2i₁_+1,3⁽¹⁾

i₂

i₁
8
9
10
11

0-15
W_2i₁_+2,0⁽¹⁾
W_2i₁_+2,1⁽¹⁾
W_2i₁_+2,2⁽¹⁾
W_2i₁_+2,3⁽¹⁾

i₂

i₁
12
13
14
15

0-15
W_2i₁_+3,0⁽¹⁾
W_2i₁_+3,1⁽¹⁾
W_2i₁_+3,2⁽¹⁾
W_2i₁_+3,3⁽¹⁾

where W_{m, n}^{(1)} = \frac{1}{\sqrt{8}} [\begin{matrix} v_{m} \\ φ_{n} v_{m} \end{matrix}],

If the most recently reported RI=1, m and n are derived with the two indices i₁and i₂according to Table 1, resulting in a rank-1 precoder,

$W_{m, n}^{(1)} = \frac{1}{\sqrt{8}} [\begin{matrix} v_{m} \\ φ_{n} v_{m} \end{matrix}] .$

TABLE 2

Codebook for 2-layer CSI reporting using antenna ports 15 to 22

i₂

i₁
0
1
2
3

0-15
W_2i₁_,2i₁_,0⁽²⁾
W_2i₁_,2i₁_,1⁽²⁾
W_2i₁_+2i₁_+1,0⁽²⁾
W_2i₁_+1,2i₁_+1,1⁽²⁾

i₂

i₁
4
5
6
7

0-15
W_2i₁_+2,2i₁_+2,0⁽²⁾
W_2i₁_+2,2i₁_+2,1⁽²⁾
W_2i₁_+3,2i₁_+3,0⁽²⁾
W_2i₁_+3,2i₁_+3,1⁽²⁾

i₂

i₁
8
9
10
11

0-15
W_2i₁_,2i₁_+1,0⁽²⁾
W_2i₁_,2i₁_+1,1⁽²⁾
W_2i₁_+1,2i₁_+2,0⁽²⁾
W_2i₁_+1,2i₁_+2,1⁽²⁾

i₂

i₁
12
13
14
15

0-15
W_2i₁_,2i₁_+3,0⁽²⁾
W_2i₁_,2i₁_+3,1⁽²⁾
W_2i₁_+1,2i₁_+3,0⁽²⁾
W_2i₁_+1,2i₁_+3,1⁽²⁾

where W_{m, m^{'}, n}^{(2)} = \frac{1}{4} [\begin{matrix} v_{m} & v_{m^{'}} \\ φ_{n} v_{m} & - φ_{n} v_{m^{'}} \end{matrix}]

If the most recently reported RI=2, m, m′ and n are derived with the two indices i₁and i₂according to Table 2, resulting in a rank-2 precoder,

$W_{m, m^{'}, n}^{(2)} = \frac{1}{4} [\begin{matrix} v_{m} & v_{m^{'}} \\ φ_{n} v_{m} & - φ_{n} v_{m^{'}} \end{matrix}] .$

It is noted that W_m,m′,n⁽²⁾is constructed such that it can be used for two different types of channel conditions that facilitate a rank-2 transmission.

One subset of the codebook associated with i₂={0, 1, . . . , 7} comprises codewords with m=m′, or the same beams (ν_m) are used for constructing the rank-2 precoder:

$W_{m, m, n}^{(2)} = \frac{1}{4} [\begin{matrix} v_{m} & v_{m} \\ φ_{n} v_{m} & - φ_{n} v_{m} \end{matrix}] .$

In this case, the two columns in the 2-layer precoder are orthogonal (i.e., [ν_mφu_nν_m]^H·[ν_m−φ_nν_m]=0), owing to the different signs applied to φ_nfor the two columns. These rank-2 precoders are likely to be used for those UEs that can receive strong signals along two orthogonal channels generated by the two differently polarized antennas.

FIG. 7 illustrates a new codebook construction 700 constructed for P=16 antenna ports comprising N₁=8 and N₂=2 according to some embodiments of the present disclosure. For each group of APs corresponding to each row (i.e., {0, 1, . . . 7} and {8, 9, . . . , 15}, the channels are quantized with two indices i₁and i₂, according to the 8-Tx double codebook. It is noted that the antenna (TXRU) numbering system in this example is aligned with FIG. 5A.

A co-phasing vector to apply for the two rows is constructed with a new index k, and is equal to

$V_{k}^{(1)} = \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ u_{k} \end{matrix}] .$

The resulting precoders W_m,n,k⁽¹⁾and W_m,m′,n,k⁽²⁾when the most recently reported RI is 1 and 2 are:

$W_{m, n, k}^{(1)} = \frac{1}{\sqrt{2}} [\begin{matrix} W_{m, n}^{(1)} \\ u_{k} W_{m, n}^{(1)} \end{matrix}]$

if RI=1;

$W_{m, m^{'}, n, k}^{(2)} = \frac{1}{\sqrt{2}} [\begin{matrix} W_{m, m^{'}, n}^{(2)} \\ u_{k} W_{m, m^{'}, n}^{(2)} \end{matrix}]$

if RI=2.

It is noted that the precoders when the most recently reported RI is >2 can also be similarly constructed with applying a co-phasing vector.

Case 1. (RI=1) Substituting

$W_{m, n}^{(1)} = \frac{1}{\sqrt{8}} [\begin{matrix} v_{m} \\ φ_{n} v_{m} \end{matrix}]$

to

$W_{m, n, k}^{(1)} = \frac{1}{\sqrt{2}} [\begin{matrix} W_{m, n}^{(1)} \\ u_{k} W_{m, n}^{(1)} \end{matrix}],$

we obtain:

$W_{m, n, k}^{(1)} (= V_{k}^{(1)} \otimes W_{m, n}^{(1)}) = \frac{1}{\sqrt{2}} [\begin{matrix} W_{m, n}^{(1)} \\ u_{k} W_{m, n}^{(1)} \end{matrix}] = \frac{1}{4} [\begin{matrix} v_{m} \\ φ_{n} v_{m} \\ u_{k} v_{m} \\ φ_{n} u_{k} v_{m} \end{matrix}] .$

Case 2. (RI=2) Substituting

$W_{m, m^{'}, n}^{(2)} = \frac{1}{4} [\begin{matrix} v_{m} & v_{m^{'}} \\ φ_{n} v_{m} & - φ_{n} v_{m^{'}} \end{matrix}]$

to

$W_{m, m^{'}, n, k}^{(2)} = \frac{1}{\sqrt{2}} [\begin{matrix} W_{m, m^{'}, n}^{(2)} \\ u_{k} W_{m, m^{'}, n}^{(2)} \end{matrix}],$

we obtain:

$W_{m, m^{'}, n, k}^{(2)} (= V_{k}^{(1)} \otimes W_{m, m^{'}, n}^{(2)}) = \frac{1}{\sqrt{2}} [\begin{matrix} W_{m, m^{'}, n}^{(2)} \\ u_{k} W_{m, m^{'}, n}^{(2)} \end{matrix}] = \frac{1}{\sqrt{32}} [\begin{matrix} v_{m} & v_{m^{'}} \\ φ_{n} v_{m} & - φ_{n} v_{m^{'}} \\ u_{k} v_{m} & u_{k} v_{m^{'}} \\ φ_{n} u_{k} v_{m} & - φ_{n} u_{k} v_{m^{'}} \end{matrix}],$

where it is clarified that W_m,m′,n,k⁽²⁾is indeed a Kronecker product of V_k⁽¹⁾and W_m,m′n⁽²⁾.

In one method, u_k=e^{j πk/2}, k=0, 1, 2, 3, which is uniformly sampling the range of [0, 2π]. In this case, the rank-1 and rank-2 precoders are constructed as:

$W_{m, n, k}^{(1)} = \frac{1}{4} [\begin{matrix} v_{m} \\ ⅇ^{\frac{j π n}{2}} v_{m} \\ ⅇ^{\frac{j π k}{2}} v_{m} \\ ⅇ^{\frac{j π (n + k)}{2} v_{m}} \end{matrix}] and W_{m, m^{'}, n, k}^{(2)} = \frac{1}{\sqrt{32}} [\begin{matrix} v_{m} & v_{m^{'}} \\ ⅇ^{\frac{j π n}{2}} v_{m} & - ⅇ^{\frac{j π n}{2}} v_{m^{'}} \\ ⅇ^{\frac{j π k}{2}} v_{m} & ⅇ^{\frac{j π k}{2}} v_{m^{'}} \\ ⅇ^{\frac{j π (n + k)}{2}} v_{m} & - ⅇ^{\frac{j π (n + k)}{2}} v_{m^{'}} \end{matrix}] .$

PMI Feedback Indices

A UE can be configured to report three PMI indices, i₁, i₂, and i₃, for informing eNB of m, m′, n, k, used for constructing a precoder according to a codebook construction associated with FIG. 4. In one method, i₁, i₂correspond to precoders W_m,n,k⁽¹⁾and W_m,m′,n⁽²⁾according to the relation in Table 1 and Table 2 respectively for the cases of RI=1 and RI=2; and i₃is mapped to k according to relation of k=i₃. In this case, i₃is mapped to a vertical precoder (V_k⁽¹⁾), according to the following table, with u_k=e^{j πk/4}, k=0, 1, 2, 3.

TABLE 2

Third PMI to Vertical precoder mapping

i₃
0
1
2
3

V_k⁽¹⁾

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

As k=i₃is essentially a vertical beam index, which does not change quickly over time and frequency. Hence, it is proposed to jointly feedback i₁and i₃in PUCCH feedback modes.

In some embodiments, a UE is configured with a beamformed CSI-RS resource, and the UE is configured to report a beam index corresponding to a CSI-RS in place of a vertical precoder (V_k⁽¹⁾). In this case, the third PMI i₃is mapped to a beam index. The beam index may correspond to a CSI-RS port index, a CSI process index or a CSI-RS resource index.

Some examples for mapping i₃to a beam index (an antenna port index) are illustrated in Table 4.

In one method, A=15, in which case, beamformed CSI-RS port numbers are 15, 16, . . . , 22. In another method, a new set of antenna port numbers are assigned for beamformed CSI-RS, e.g., A=200.

TABLE 3

Third PMI to CSI-RS port index mapping

i₃
0
1
2
3

Example 1. Selected CSI-RS port
A
A + 1
A + 2
A + 3

index when 4 port beamformed

CSI-RS is configured

Example 2.
Alt 1 (APs P,
A,
A + 1,
A + 2,
A + 3,

Selected pair of
P + 4 are with
A + 4
A + 5
A + 6
A + 7

CSI-RS port index
the same beam)

when 8 port
Alt 2 (A pair
A,
A + 2,
A + 4,
A + 6,

beamformed
of ports with
A + 1
A + 3
A + 5
A + 7

CSI-RS is
two adjacent

configured
AP numbers

are with the

same beam)

Example 3.
Alt 1 (APs P,
A,
A + 1,
Reserved or N/A

Selected pair of
P + 2 are with
A + 2
A + 2

CSI-RS port index
the same beam)

when 4 port
Alt 2 (A pair
A,
A + 2,

beamformed
of ports with
A + 1
A + 3

CSI-RS is
two adjacent

configured
AP numbers

are with the

same beam)

In one method of Example 3, i₃=2 or 3 is reserved, in which case, a UE would still report 2-bit PMI for i₃, but the UE does not choose i₃=2 or 3. In another method of Ex 3, the UE would report 1-bit PMI for i₃.

Some examples for mapping i₃to a beam index (a CSI-RS resource index or a CSI process index) are illustrated in Table 5.

TABLE 5

Third PMI to CSI-RS resource (or CSI process) index mapping

i₃
0
1
2
3

Ex. 4
A first
A second
A third
A fourth

resource
resource
resource
resource

(or process)
(or process)
(or process)
(or process)

index
index
index
index

configured by
configured by
configured by
configured by

higher layers
higher layers
higher layers
higher layers

Ex. 5
0
1
2
3

In Example 4, the four resource indices corresponding to i₃=0, 1, 2, 3 are configured in the higher layer. In Example 5, the four resource indices are hard-coded as 0, 1, 2 and 3.

In these examples (i.e., Example 4 and Example 5), it is assumed that 4 beamformed CSI-RS resources (or CSI processes) are configured. The higher layers can be RRC layer.

It is noted that these tables are just for illustration, and other straightforward combinations related to other numbers of CSI-RS ports (CSI-RS resources, or CSI processes) can also be similarly constructed according to the current disclosure.

The number of information bits corresponding to the third PMI may be determined dependent upon the number of configured CSI-RS ports in a beamformed CSI-RS resource, the number of configured CSI-RS resources, or the number of configured CSI processes.

In some embodiments, a UE is configured to determine which mapping table of i₃the UE would use for a CSI reporting, based upon a condition.

In one method, the condition is determined based upon a new parameter, which indicates whether the associated CSI-RS for the CSI reporting is beamformed or non-precoded: when the new parameter indicates that the CSI-RS is beamformed, the UE uses a mapping table to map i₃to a beam index (example tables are Table 4 and Table 5); and/or when the new parameter indicates that the CSI-RS is non-precoded, the UE uses a mapping table to map i₃to a vertical precoder (an example table is Table 3).

The new parameter may be configured as an optional parameter in each CSI process configuration.

FIG. 8 illustrates that a UE is configured with PUCCH feedback mode 1-1 submode 1 800, according to one embodiment of the present disclosure. In FIG. 8, i₁, i₂and i₃are denoted as W1, W2 and W3. Then, the UE reports RI, i₁and i₃in RI reporting instances, and the UE reports i₂and corresponding CQI in PMI/CQI reporting instances.

A baseline approach to multiplex RI, i₁and i₃is to subsample i₁according to the legacy specification, and not to subsample i₃. In this case, the resulting mapping table from PMI I_RI/PMI1/PMI3to i₁and i₃may look like the below table 6 (up to RI 1 and 2).

TABLE 6

Mapping table from PMI I_RI/PMI1/PMI3to i₁and i₃

Value of joint encoding of RI

Codebook
Codebook

and the first PMI I_RI/PMI1/PMI3
RI
index i₁
index i₃

0-7
1
2I_RI/PMI1/PMI3
0

8-15
1
2(I_RI/PMI1/PMI3− 8)
1

16-23
1
2(I_RI/PMI1/PMI3− 16)
2

24-31
1
2(I_RI/PMI1/PMI3− 24)
3

32-39
2
2(I_RI/PMI1/PMI3− 32)
0

40-47
2
2(I_RI/PMI1/PMI3− 40)
1

48-55
2
2(I_RI/PMI1/PMI3− 48)
2

56-63
2
2(I_RI/PMI1/PMI3− 56)
3

In this case, number of bits to encode I_RI/PMI1/PMI3with RI=1 and 2 becomes as large as 6 bits; and number of bits to encode I_RI/PMI1/PMI3with RI=1, 2, . . . , 8 will become 7 bits with extending the Rel-10 table in a similar manner. Although 6-7 bit payload can be transmitted on PUCCH format 2a/2b, a potential issue is reception reliability. As I_RI/PMI1/PMI3information is used over multiple subsequent reporting instances, the lower reception reliability may eventually result in lower DL throughput.

FIG. 9 illustrates a design of PUCCH feedback mode 1-1 according to one embodiment of the present disclosure. A UE, configured with 12 or 16 port NZP CSI-RS, is configured with PUCCH feedback mode 1-1 submode 900. Then, the UE reports RI and i₃in RI reporting instances, and the UE reports i₁, i₂and corresponding CQI in PMI/CQI reporting instances. In FIG. 9, where i₁, i₂and i₃are denoted as W1, W2 and W3.

In this case, W1+W2+CQI reported in the CQI reporting instances can be reported according to the subsampling method associated with PUCCH mode 1-1 submode 2 in Rel-10 LTE specifications. In addition, RI+W3 can be jointly coded according to the following table 7.

TABLE 7

RI
Codebook index i₃

0-3
1
I_RI/PMI3

4-7
2
(I_RI/PMI3− 4)

. . . (continues
3 . . . 7
. . . (continues

similarly as above)

similarly as above)

28-31
8
(I_RI/PMI3− 28)

Alternatively, RI and W3 can be separately coded and reported in the RI reporting instances: in this case, RI has 8 possible values, i.e., 1, . . . , 8 and i, has 4 possible values, 0, 1, 2, and 3.

In both cases, the total number of bits to be carried in the RI reporting instances for RI+W3 in this case is 5 bits.

FIG. 10 illustrates a design of PUCCH mode 1-1 1000 according to one embodiment of the present disclosure. A UE, configured with 12 or 16 port NZP CSI-RS, is configured with the design of PUCCH feedback mode 1-1. Then, the UE reports RI in the RI reporting instances. Suppose further that the PMI/CQI reporting instances are with duty cycle of N_pdsubframes. Then the UE reports i₃in a first set of PMI/CQI reporting instances with duty cycle of G·N_pdsubframes and (i₁, i₂and corresponding CQI) in the rest PMI/CQI reporting instances where G is a positive integer configured in the higher layer. In the FIG. 10, i₁, i₂and i₃are denoted as W1, W2 and W3. In this case, W1+W2+CQI reported in the CQI reporting instances can be reported according to the subsampling method associated with PUCCH mode 1-1 submode 2 in Rel-10 LTE specifications.

This submode provides the most reliable reception of W3 and RI information at the eNB among those submodes considered in this disclosure. One drawback of this approach is that one PMI/CQI reporting instance is exclusively used for W3 transmission, and hence the particular reporting instance cannot be used for CQI reporting.

FIG. 11 illustrates a design of PUCCH mode 1-1 1100 according to one embodiments of the present disclosure. A UE, configured with 12 or 16 port NZP CSI-RS, is configured with the PUCCH feedback mode 1-1. Then, the UE reports RI in the RI reporting instances. Suppose further that the PMI/CQI reporting instances are with duty cycle of N_pdsubframes. Then the UE reports i₁and i₃in a first set of PMI/CQI reporting instances with duty cycle of G·N_pdsubframes and (i₂and corresponding CQI) in the rest PMI/CQI reporting instances where G is a positive integer configured in the higher layer. In FIG. 10, where i₁, i₂and i₃are denoted as W1, W2 and W3. In this case, W2+CQI reported in the CQI reporting instances can be reported according to the subsampling method associated with PUCCH mode 1-1 submode 2 in Rel-10 LTE specifications.

This submode provides a reasonable reliability for W1+W3 and good reliability for the RI information at the eNB among those submodes considered in this disclosure. One drawback of this approach is that one PMI/CQI reporting instance is exclusively used for W3 transmission, and hence the particular reporting instance cannot be used for CQI reporting.

A Q-Tx Codebook and CSI Reporting Design with General V-PMI

FIG. 12 illustrates a new codebook construction 1200 according to some embodiments of the present disclosure, constructed for P=16 antenna ports. It is noted that the antenna (TXRU) numbering system in this example is aligned with FIG. 5B, with rotating the 2D antenna panel counter-clockwise with 90 degrees.

Suppose that a UE is configured with a CSI process, which configures Q(=MNP)-port CSI-RS, in which M, N and P respectively represent number of rows, columns and polarization as illustrated in FIG. 6.

Suppose further that the UE is configured to report PMI, which indicates a Q-port precoding vector (or matrix if RI>1).

For PMI reporting purpose, the Q-port precoding vector for RI=1 is constructed as:

$W = \frac{1}{\sqrt{Q}} [\begin{matrix} v_{m}^{(M, s_{M})} \otimes v_{n}^{(N, s_{N})} \\ φ_{l} v_{m}^{(M, s_{M})} \otimes v_{n}^{(N, s_{N})} \end{matrix}]$

if P=2;

$W = \frac{1}{\sqrt{Q}} v_{m}^{(M, s_{M})} \otimes v_{n}^{(N, s_{N})}$

if P=1, where

- s_Mand s_Nare integers, indicating DFT subsampling factors;
- ν_k^(K,s^K⁾=[1 e^j2πk/(s^K^K). . . e^j2πk(K-1)(s^K^K)]^t; where
- (a) k=0, 1, . . . , Ks_K−1, and s_Kand K are a positive integer.

In some embodiments, it is proposed that N≥M, i.e., the number of elements (N) of an oversampled DFT vector for the 1^stdimension is greater than or equal to the number of elements (M) of an oversampled DFT vector for the 2^nddimension, wherein pairs of (M,N) that can be configured to a UE are (3,2) and (4,2), and the pair is configured by the total number of antenna ports in the corresponding CSI-RS resource. In particular, if total number of antenna ports is 12, (M,N)=(3,2) is configured; if total number of antenna ports is 16, (M,N)=(4,2) is configured.

In each PMI reporting, information regarding either a full set or a subset of indices l, m and n is reported.

In one method, each of m and n is written as:

- n=A₁i_1,1+g(i_1,2) where A₁is an integer, e.g., 1, 2, 4 and g(⋅) is a function whose output is an integer.
  - In one example, ƒ(i_1,2)=i_1,2; i_1,2=0, 1.
  - i_1,1, i_1,2are denoted as a first and a second PMIs for a first dimension in some embodiments of the present disclosure.
  - m is denoted as a beam index for the first dimension in some embodiments of the present disclosure.
- m=A₂i_2,1+ƒ(i_2,2), where A₂is an integer, e.g., 1, 2, 4 and ƒ(⋅) is a function whose output is an integer.
  - In one example, ƒ(i_2,2)=i_2,2; i_2,2=0, 1.
  - i_2,1, i_2,2are denoted as a first and a second PMIs for a second dimension in some embodiments of the present disclosure.
  - m is denoted as a beam index for the second dimension in some embodiments of the present disclosure.

It is noted that the subscript indexing (i.e., i_1,1, i_1,2, i_2,1, i_2,2) of the first and the second PMIs on the first and the second dimensions can be done in another manner, without departing from the principles of the current invention. For example, may respectively correspond to the first PMI on the first dimension, the first PMI on the second dimension, the second PMI on the first dimension and the second PMI on the second dimension.

In some embodiments, the first and the second dimensions respectively correspond to the horizontal and the vertical dimension.

In one method, φ_lis quantized as QPSK, in which case

$φ_{l} = e^{j \frac{2 π l}{2}},$

l=0, 1, 2, 3. l is denoted as a co-phase index in some embodiments of the present disclosure.

In some embodiments, co-phase index l is determined as a function of the second PMI for the first dimension, where the first dimension has an oversampled DFT matrix with larger number of elements than the second dimension. For example, the second PMI i′_1,2is used to indicate i_1,2and l. One such example indication can be found in Table 10.

Below, with s_M=4 and s_N=8, three examples are constructed for three different antenna configurations. It is noted that other examples can be similarly constructed with replacing the numbers substituted in these parameters.

Example 1 16 CSI-RS Ports, Four Columns

With (M, N, P)=(2, 4, 2), the two DFT vectors to comprise the Q=16 port precoding vector are:

$v_{m}^{(M = 2, s_{M} = 4)} = {[1 e^{j \frac{2 π m}{8}}]}^{t}, m = 0, 1, \dots, 7; and$

$v_{n}^{(N = 4, s_{N} = 8)} = {[1 e^{j \frac{2 π n}{32}} e^{j \frac{4 π n}{32}} e^{j \frac{6 π n}{32}}]}^{t}, n = 0, 1, \dots, 31.$

Example 2 12 CSI-RS Ports, Three Columns

with (M, N, P)=(2, 3, 2), and the two DFT vectors to comprise the Q=12 port precoding vector are:

$v_{n}^{(N = 3, s_{N} = 4)} = {[1 e^{j \frac{2 π n}{12}} e^{j \frac{4 π n}{12}}]}^{t}, n = 0, 1, \dots, 11; and$

$v_{m}^{(M = 2, s_{M} = 8)} = {[1 e^{j \frac{2 π m}{16}}]}^{t}, m = 0, 1, \dots, 15.$

Relation Between the PMIs and a Beam Index for the Second Dimension

In some embodiments, the relation between two PMIs i_2,1and i_2,2(the first and the second PMIs) for the second dimension, and the beam index m for the second dimension is the same, regardless of the configured value of M.

One such example is illustrated in Table 6. This example has an advantage that a same equation is used for deriving the beam index m for the second dimension out of the PMIs i_2,1and i_2,2for the second dimension: m=i_2,1+i_2,2. In this case, the number of possible values for i_2,1may be different dependent upon different choices of M: the numbers are 8, 12 and 16 respectively for M=2, 3, 4 in the example in Table 6. Then, the minimum number of information bits required to convey i_2,1is respectively 3, 4, 4 bits for M=2, 3, 4.

In one method, regardless of the configured value of M, a UE is configured to report 4 bit information for i_2,1, with reserving the unused states. According to this method, UE will have the same payload for i_2,1, which makes UE implementation simpler.

TABLE 8

Example relation between PMI and beam

index m for the second dimension

Relation between

vertical PMIs i_2,₁

Number of
Number of

and i_2,₂, and

bits
bits

vertical beam
Range of i_{2, 1}
allocated
allocated

M
index n
and i_2,₂
for i_{2, 1}
for i_2,₂

2
m = i_{2, 1}+ i_{2, 2}
i_{2, 1}= 0,
Alt 1: 3
1

1, . . . , 7 and
Alt 2: 4 (Out of

i_{2, 2}= 0, 1
16 states, 8

states are mapped

to the 8 values

of i_{2, 1}, and the

rest 8 states

are reserved)

3

i_{2, 1}= 0,
4 (Out of 16

1, . . . , 11 and
states, 12 states

i_{2, 2}= 0, 1
are mapped to

the 12 values

of i_{2, 1}, and the

rest 4 states

are reserved)

4

i_{2, 1}= 0,
4

1, . . . , 15 and

i_{2, 2}= 0, 1

In some embodiments, the relation between two PMIs i_1,1and i_1,2for the first dimension, and beam index n for the first dimension is determined differently dependent upon the configured value of N.

One such example is illustrated in Table 9. This example has an advantage that a same number of bits is used for quantizing the first PMI i_1,1for the first dimension, regardless of the configured value of N. When N=2 is configured, total number of beams for the first dimension is 16, and one out of all the 16 beams are selected with i_1,1=0, 1, . . . , 15. When N=4 is configured, total number of beams for the first dimension is 32, and one out of 16 beams, which comprise uniformly subsampled beams out of the total 32 beams with subsampling factor 2, is selected with i_1,1=0, 1, . . . , 15.

TABLE 9

Example relation between PMI and index n for the first dimension

Relation between

the two PMIs i_{1, 1}

Number of
Number of

and i_{1, 2}, and the

bits
bits

beam index n for
Range of i_{1, 1}
allocated
allocated

N
the first dimension
and i_{1, 2}
for i_{1, 1}
for i_{1, 2}

2
n = i_{1, 1}+ i_{1, 2}
i_{1, 1}= 0,
4
1

4
n = 2i_{1, 1}+ i_{1, 2}
1, . . . , 15 and

i_{1, 2}= 0, 1

In some embodiments, the relation between the two PMIs i_1,1and i_1,2for the first dimension and the beam index n for the first dimension is the same, regardless of the configured value of N.

One such example is illustrated in Table 10. This example has an advantage that a same equation is used for deriving the beam index n out of the PMIs i_1,1and. When N=2 is configured, total number of beams is 16, one out of 8 beams, which comprise uniformly subsampled beams out of the total 16 beams with subsampling factor 2, is selected with i_1,1=0, 1, . . . , 7. When N=4 is configured, total number of beams is 32, and one out of 16 beams, which comprise uniformly subsampled beams out of the total 32 beams with subsampling factor 2, is selected with i_1,1=0, 1, . . . , 15.

TABLE 10

Example relation between PMI and horizontal beam index n

Relation between

horizontal PMIs i_{1, 1}

Number of
Number of

and i_{1, 2}, and

bits
bits

horizontal beam
Range of i_{1, 1}
allocated
allocated

N
index n
and i_{1, 2}
for i_{1, 1}
for i_{1, 2}

2
n = 2i_{1, 1}+ i_{1, 2}
i_{1, 1}= 0,
Alt 1: 3
1

1, . . . , 7 and
Alt 2: 4 (Out of

i_{1, 2}= 0, 1
16 states, 8

states are mapped

to the 8 values

of i_{1, 1}, and the

rest 8 states

are reserved)

4

i_{1, 1}= 0,
4

1, . . . , 15 and

i_{1, 2}= 0, 1

In some embodiments, a UE is configured to report four PMI indices of i_1,1, i′_1,2, i_2,1and i_2,2, wherein:

- i_1,1and i_2,1are used to indicate a set of beam indices respectively on the first and the second dimensions;
- i′_1,2is used to indicate a beam index among the set of beam indices on the first dimension; and co-phase index l; and
- i_2,2is used to indicate a beam index among the set of beam indices on the second dimension.

In some embodiments, a UE is configured to report four or five PMI indices out of the five indices of i_1,1, i_1,2i_2,1and i_2,2, and l, depending upon a condition:

- when condition A holds, the UE is configured to report three PMI indices i_1,1, i_1,2, l and i_2,1; and
- when condition B holds, where condition B can be a complement of condition A,
  - (Alt 1) the UE is configured to report four PMI indices i_1,1, i_1,2, i_2,1and i_2,2, and l.
  - (Alt 2) the UE is configured to report three PMI indices i_1,1, i_1,2, l and i_2,2.

Here, i_1,1and i_2,1are used to indicate a set of beam indices respectively on the first and the second dimensions; i_1,2and i_2,2are used to indicate a beam index among the set of beam indices respectively on the first and the second dimension; l is an index to indicate a co-phase factor.

In one method, a UE is configured with a parameter indicating whether the UE should report ST/SB PMI or LT/WB PMI for the second dimension. In one example, condition A corresponds to an event that the configured parameter indicates that the UE should report LT/WB PMI for the second dimension; and condition B corresponds to an event that the configured parameter indicates that the UE should report ST/SB PMI for the second dimension.

In some embodiments, a UE is configured with beamformed CSI-RS, in which case reporting procedure of a beam index is the same as PMI reporting procedures for the second dimension, devised in some embodiments of the present disclosure.

In one example: when the UE is configured with ST/SB beam index, the UE is configured to report i_1,1, i_1,2, l and i_2,1; and when the UE is configured with LT/WB beam index, the UE is configured to report i_1,1, i_1,2, l and i_2,2.

The PMI reporting can be performed either on PUSCH or on PUCCH, respectively according to aperiodic CSI reporting configuration and periodic CSI reporting configuration. When the PMI reporting is performed on PUSCH, which is triggered by aperiodic CSI trigger carried in a UL grant DCI (DCI format 0 or 4), the UE reports all the PMI indices (either three or four dependent upon the condition) on the PUSCH scheduled by the UL grant DCI. When the PMI reporting is performed on PUCCH, the UE reports a subset of the PMI indices in each PUCCH report.

FIG. 13 illustrates PUCCH feedback mode 1-1 1300 according to one embodiments of the present disclosure. A UE is configured with PUCCH feedback mode 1-1, wherein the configured number of NZP CSI-RS ports is either 12 or 16. Then, the UE reports RI in the RI reporting instances. Suppose further that the PMI/CQI reporting instances are with duty cycle of N_pdsubframes (N_pdis configured in the higher layer). Then the UE reports i_1,1and i_2,1first PMIs on the first and the second dimensions), in a first set of PMI/CQI reporting instances with duty cycle of G·N_pdsubframes and (i_1,2, i_2,2, l—the second PMI—and corresponding CQI) or (i′_1,2and i_2,2in some embodiments) in the rest PMI/CQI reporting instances where G is a positive integer configured in the higher-layer. In an alternative embodiment, in those subframes for reporting i_1,1and i_2,1, a rank-1 CQI is transmitted as well, wherein the CQI is derived with a selected precoding matrix (constructed with the selected i_1,1and i_2,1(reported together with the CQI), and i_1,1, i_2,2, l (not reported in the current subframe)).

In one example, i_1,2∈{0,1}, i_2,2∈{0,1} and l∈{0,1,2,3}. Then total number of bits for i_1,2, i_2,2and l is 4 bits, and hence together with 4 or 7 bit CQI, all the information can be multiplexed in a single PUCCH format 2a/2b.

It is noted that the 16 states generated with i_1,2∈{0,1}, i_2,2∈{0,1} and l∈{0,1,2,3} can be mapped from a single or two variables, in some embodiments.

In some embodiments, a UE is configured with PUCCH feedback mode 2-1, wherein the configured number of NZP CSI-RS ports is either 12 or 16. Then, the UE reports RI and PTI in the RI reporting instances. Suppose further that the PMI/CQI reporting instances are with duty cycle of N_pdsubframes (N_pdis configured in the higher layer).

FIGS. 14A and 14B illustrate PUCCH feedback mode 2-1 1400 and 1410 according to the embodiments of the present disclosure.

If the reported PTI=0 as shown in FIG. 14A, then the UE reports i_1,1and i_2,1, in a first set of PMI/CQI reporting instances with duty cycle of H′·N_pdsubframes; and (i_1,2, i_2,2, l and corresponding CQI) or (i′_1,2and i_2,2in some embodiments) in the rest PMI/CQI reporting instances where H′ is a positive integer configured in the higher-layer.

If the reported PTI=1 as shown in FIG. 14B, then the UE reports WB (i_1,2, i_2,2, l and corresponding CQI) or (i′_1,2and i_2,2in some embodiments) in a first set of PMI/CQI reporting instances with duty cycle of H·N_pdsubframes; and SB (i_1,2, i_2,2, l and corresponding CQI) or (i′_1,2and i_2,2in some embodiments) in the rest PMI/CQI reporting instances where H=J+K−1, J is the number of bandwidth parts and K is a positive integer configured in the higher-layer.

In one method, the UE configured with a beamformed CSI-RS resource with 12 or 16 port CSI-RS can be configured with PUCCH can be configured with PUCCH mode 1-1, in which the UE reports CSI according to the illustration in FIG. 14. In the figure, the UE reports RI in the RI reporting instances, and the UE reports (i_1,2, i_2,2and l) or (i′_1,2and i_2,2in some embodiments)₂and CQI in the PMI/CQI reporting instances.

In some embodiments, a UE is configured with a CSI process comprising at least:

- Either a first CSI-RS resource for non-precoded CSI-RS or a second CSI-RS resource for beamformed CSI-RS or both;
- CSI-IM (or zero-power CSI-RS, or IMR);
- Either aperiodic CSI reporting configuration or periodic CSI reporting configuration or both; and
- Codebook subset restriction configuration.

For the UE configured with such a CSI process, the UE operation to derive CSI reports changes dependent upon whether the first CSI-RS resource or the second CSI-RS resource or both are configured.

When the UE is configured with only the first CSI-RS resource (non-precoded), the UE derives both the long-term CSI (i.e., beam group indication, or the first PMI) and the short-term CSI (i.e., co-phase (and beam selection, when multiple beams configured), or the second PMI and CQI) using CSI-RS on the first CSI resource and the CSI-IM, and reports both the long-term CSI and short-term CSI. Furthermore, if the UE is configured with PUCCH mode 1-1, the periodic CSI feedback on PUCCH is performed according to FIG. 13.

When the UE is configured with only the second CSI-RS resource (beamformed), the UE derives only the short-term CSI (i.e., co-phase (and beam selection) and CQI) using the CSI-IM and CSI-RS on the second CSI-RS resource, and reports only the short-term CSI. Furthermore, if the UE is configured with PUCCH mode 1-1 1500, the periodic CSI feedback on PUCCH is performed according to the legacy specification, e.g., according to FIG. 15.

When the UE is configured with both the first (non-precoded) and the second CSI-RS resource (beamformed), the UE derives: the long-term CSI (i.e., beam group indication, or the first PMI) using CSI-RS on the first CSI-RS resource; and the short-term CSI (i.e., co-phase (and beam selection) and CQI, RI) using the CSI-IM and CSI-RS on the second CSI-RS resource; and reports both the long-term and short-term CSI. Furthermore, if the UE is configured with PUCCH mode 1-1, the periodic CSI feedback on PUCCH is performed according to FIG. 13, wherein i_1,1and i_2,1derived with the CSI-RS on the first CSI-RS, (i_1,2, i_2,2and l) or (i′_1,2and i_2,2in some embodiments) and CQI are derived with the CSI-RS on the second CSI-RS and IMR.

In some embodiments, when i_1,2, i_2,2and l are mapped from a single variable denoted by e.g., i₂, a mapping from i₂to these three variables can be defined, and only i₂is reported by the eNB together with the CQI in those CQI/PMI reporting instances. On such example mapping is illustrated in Table 11. It is further noted that similar tables can be straightforwardly constructed with permuting rows and columns, without deviating from the principles of the present disclosure.

TABLE 11

Mapping of i_{1, 2}, i_{2, 2}and l from i₂

i₂
i_{1, 2}
i_{2, 2}
l

0
0
0
0

1
0
0
1

2
0
0
2

3
0
0
3

4
0
1
0

5
0
1
1

6
0
1
2

7
0
1
3

8
1
0
0

9
1
0
1

10
1
0
2

11
1
0
3

12
1
1
0

13
1
1
1

14
1
1
2

15
1
1
3

When they are mapped from two variables denoted by e.g., i′_1,2and i_2,2, and a mapping from (i_1,2, l) to i′_1,2is defined, and i′_1,2and i_2,2are reported by the eNB together with the CQI in those CQI/PMI reporting instances. On such example mapping is illustrated in Table 12. It is further noted that similar tables can be straightforwardly constructed with permuting rows and columns, without deviating from the principles of the present disclosure.

TABLE 12

Mapping of i_{1, 2}and l from i′_{1, 2}

i′_{1, 2}
i_{1, 2}
l

0
0
0

1
0
1

2
0
2

3
0
3

4
1
0

5
1
1

6
1
2

7
1
3

It is noted that either i_2,1or i_2,2in FIG. 13 can be dropped from the CSI report of the UE, according to some embodiments of the present disclosure. In one such example, the UE is configured with WB/LT PMI for the second dimension (or beam index), and then the UE report i_1,2, l and corresponding CQI in those subframes in which i_1,2, i_2,2, l and corresponding CQI are reported in FIG. 13.

PMI Feedback Indices

In some embodiments, A UE is configured to report m, n, p, used for constructing a precoder according to a codebook construction associated with FIG. 13, with an assumption that m=m′ and n=n′.

In one method, each of m and n are decomposed into: m=G_1,1i_1,1+G_1,2i_1,2and n=G_2,1i_2,1+G_2,2i_2,2, wherein:

G_1,1, G_1,2, G_2,1, G_2,2∈{1,2}, which can be configured by higher layer;

$i_{1, 1} \in {0, 1, \dots, \frac{M^{'}}{S_{M}}}, i_{2, 1} \in {0, 1, \dots, \frac{N^{'}}{S_{N}}} .$

For i_1,2, i_2,2, three possible configurations are devised below, where a certain configuration to be used by the UE can be either indicated by higher layer or a single configuration is used. In case of i_1,2=0 (or i_2,2=0), i_1,2(or i_2,2) is pre-configured at both eNB and the UE and is not included in the feedback report.

Config 1: i_1,2=0, i_2,2∈{0,1,2,3},

Config 2: i_1,2∈{0,1}, i_2,2∈{0,1},

Config 3: i_1,2∈{0,1,2,3}, i_2,2=0.

In another method, each of m and n are decomposed into: m=G_1,1i_1,1+i_1,2and n=G_2,1i_2,1+i_2,2, wherein:

G_1,1, G_1,2∈{1,2}, which can be configured by higher layer;

$i_{1, 1} \in {0, 1, \dots, \frac{M^{'}}{S_{M}}}, i_{2, 1} \in {0, 1, \dots, \frac{N^{'}}{S_{N}}} .$

For i_1,2, i_2,2, four possible configurations are devised below, where a certain configuration to be used by the UE can be indicated by higher layer or a single configuration is used. In case of i_1,2=0 (or i_2,2=0), i_1,2(or i_2,2), is pre-configured at both eNB and the UE and is not included in the feedback report.

Config 1: i_1,2=0, i_2,2∈{0,1,2,3},

Config 2-1: i_1,2∈{0,1}, i_2,2∈{0,1},

Config 2-2: i_1,2∈{0,2}, i_2,2∈{0,2},

Config 2-3: i_1,2∈{0,1}, i_2,2∈{0,2},

Config 2-3: i_1,2∈{0,2}, i_2,2∈{0,1},

Config 3: i_1,2∈{0,1,2,3}, i_2,2=0

In one such embodiment, for example, a UE is configured to report four PMIs: i_1,1, i_2,1, i_1,2and p, so that eNB can reconstruct a composite precoder with the three PMIs. The resulting precoder is written as:

$W_{m, n, p} = {[w_{0} w_{1} \dots w_{N_{CSIRS} - 1}]}^{t} = \frac{1}{\sqrt{N_{CSIRS}}} [\begin{matrix} v_{m} \otimes u_{n} \\ φ_{p} (v_{m^{'}} \otimes u_{n^{'}}) \end{matrix}],$

wherein:

- m=G_1,1i_1,1+G_1,2i_1,2, n=G_2,1i_2,1,

$i_{1, 1} \in {0, 1, \dots, \frac{M^{'}}{S_{M}}}, i_{2, 1} \in {0, 1, \dots, \frac{N^{'}}{S_{N}}};$

- i_1,2∈{0,1,2,3} and p∈{0,1,2,3}.

In some embodiments, a new TM X is introduced as a transmission mode for FD-MIMO, whose main characteristics is e.g., more than 2 orthogonal DMRS ports for MU-MIMO; and/or a new CSI process that can comprise both NP and BF CSI-RS, wherein NP CSI-RS comprises (8), 12 or 16 antenna ports.

In the legacy specifications (3GPP TS 36.213), the following types of CSI reports are defined: The following CQI/PMI and RI reporting types with distinct periods and offsets are supported for the PUCCH CSI reporting modes given in Table 7.2.2-3:

Type 1 report supports CQI feedback for the UE selected sub-bands

Type 1a report supports subband CQI and second PMI feedback

Type 2, Type 2b, and Type 2c report supports wideband CQI and PMI feedback

Type 2a report supports wideband PMI feedback

Type 3 report supports RI feedback

Type 4 report supports wideband CQI

Type 5 report supports RI and wideband PMI feedback

Type 6 report supports RI and PTI feedback

The UE behaviour for PUCCH mode 1-1 according to some embodiments of the present disclosure (e.g., embodiments related to FIG. 13 and FIG. 15) can be written as:

- In the case where wideband CQI/PMI reporting is configured with NP CSI-RS with 12 or 16 CSI-RS ports for TM X:
  - The reporting instances for wideband CQI/PMI are subframes satisfying (10×n_ƒ+└n_s/2┘−N_OFFSET,CQI)mod(N_pd)=0.
  - i. The first PMI report has period G·N_pd, and is reported on the subframes satisfying (10×n_ƒ+└n_s/2┘−N_OFFSET,CQI)mod(G·N_pd)=0, where G is signaled by higher layers.
  - ii. Between every two consecutive first PMI reports, the remaining reporting instances are used for a wideband second precoding matrix indicator with wideband CQI.

In the subframe where CQI/PMI derived with NP CSI-RS resource with 12 or 16 CSI-RS ports is reported for TM X,

- (a) A single precoding matrix is selected from the codebook subset assuming transmission on set S subbands.
- (b) A UE reports a type 2b report consisting of
  - i. A single wideband CQI value which is calculated assuming the use of a single precoding matrix in all subbands and transmission on set S subbands.
  - ii. The wideband second PMI corresponding to the selected single precoding matrix.
  - iii. When RI>1, an additional 3-bit wideband spatial differential CQI.

In the subframe where CQI/PMI derived with BF CSI-RS resource is reported for TM X,

- (a) A single precoding matrix is selected from the codebook subset assuming transmission on set S subbands.
- (b) Alt 1: A UE reports a type 2 report consisting of
  - i. A single wideband CQI value which is calculated assuming the use of a single precoding matrix in all subbands and transmission on set S subbands.
  - ii. The selected single PMI (wideband PMI).
  - iii. When RI>1, an additional 3-bit wideband spatial differential CQI.
- (c) Alt 2: A UE reports a type 2b report consisting of
  - i. A single wideband CQI value which is calculated assuming the use of a single precoding matrix in all subbands and transmission on set S subbands.
  - ii. The wideband second PMI corresponding to the selected single precoding matrix.
  - iii. When RI>1, an additional 3-bit wideband spatial differential CQI.

In the subframe where the wideband first PMI derived with NP CSI-RS resource with 12 or 16 CSI-RS ports is reported for TM X,

- (a) A UE reports a type 2a report consisting of the wideband first PMI corresponding to a selected set of precoding matrices.

In most of the embodiments of the present disclosure, a CSI-RS resource refers to a non-zero-power (NZP) CSI-RS resource unless otherwise stated. In the TS36.331 an NZP CSI-RS resource can be configured utilizing a higher-layer information element (IE) CSI-RS-ConfigNZP:

The IE CSI-RS-ConfigNZP is the CSI-RS resource configuration using non-zero power transmission that E-UTRAN may configure on a serving frequency.

CSI-RS-ConfigNZP information elements

-- ASN1START

CSI-RS-ConfigNZP-r11 ::= SEQUENCE {

csi-RS-ConfigNZPId-r11
CSI-RS-ConfigNZPId-r11,

antennaPortsCount-r11
ENUMERATED {an1, an2, an4, an8},

resourceConfig-r11
INTEGER (0..31),

subframeConfig-r11
INTEGER (0..154),

scramblingIdentity-r11
INTEGER (0..503),

qcl-CRS-Info-r11
SEQUENCE {

qcl-ScramblingIdentity-r11
INTEGER (0..503),

crs-PortsCount-r11
ENUMERATED {n1, n2, n4 spare1},

mbsfn-SubframeConfigList-r11
CHOICE {

release
NULL,

setup
SEQUENCE {

subframeConfigList
MBSFN-SubframeConfigList

}

}
OPTIONAL -- Need

ON

}
OPTIONAL, -- Need

OR

...

}

-- ASN1STOP

CSI-RS-ConfigNZP field descriptions

antennaPortsCount

Parameter represents the number of antenna ports used for

transmission of CSI reference signals where an1 corresponds

to 1, an2 to 2 antenna ports etc. see TS 36.211 [21, 6.10.5].

qcl-CRS-Info

Indicates CRS antenna ports that is quasi co-located with the

CSI-RS antenna ports, see TS 36.213 [23, 7.2.5]. EUTRAN

configures this field if and only if the UE is configured with

qcl-Operation

set to typeB.

resourceConfig

Parameter: CSI reference signal configuration, see TS 36.211

[21, table 6.10.5.2-1 and 6.10.5.2-2].

subframeConfig

Parameter: I_CSI-RS, see TS 36.211 [21, table 6.10.5.3-1].

scramblingIdentity

Parameter: Pseudo-random sequence generator parameter,

n_ID, see TS 36.213 [23, 7.2.5].

Rel. 8 LTE 2-Tx Codebook

For transmission on two antenna ports, p∈{0,1}, and for the purpose of CSI reporting based on two antenna ports p∈{0,1} or p∈{15,16}, the precoding matrix W(i) is selected from Table or a subset thereof. For the closed-loop spatial multiplexing transmission mode defined in [4], the codebook index 3 is not used when the number of layers is ν=2.

TABLE 13

Codebook for transmission on antenna ports {0, 1} and for CSI

reporting based on antenna ports {0, 1} or {15, 16}.

Number of layers v

Codebook index
1
2

0

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

—

The eNB operation according to some embodiments of the present disclosure is as follows:

- a. eNB determines precoders (or beamforming directions) for Q CSI-RS ports, based upon uplink sounding reference signals, PUSCH/PUCCH or history of PMI feedback or a combination of the aforementioned.
- b. CSI-RS virtualization (or beamforming) examples:
  - i. Q ports are partitioned into two groups, CSI-RS of an antenna port belonging to a first group is transmitted from a first group of antennas with a first polarization of p=0; CSI-RS of an antenna port belonging to a second group is transmitted from a second group of antennas with a second polarization with a first polarization of p=1.
    - 1. In one example, when Q is even, CSI-RS on port 0, . . . , Q/2−1 are transmitted on a first group of antennas {(m,n,p=0), m=0, . . . , M−1, n=0, . . . , N−1}, with +45° polarization, while CSI-RS on port Q/2, . . . , Q−1 are transmitted on a second group of antennas {(m,n,p=1), m=0, . . . , M−1, n=0, . . . , N−1}, with −45° polarization.
  - ii. Q antenna ports are partitioned into Q/2 pairs of antenna ports. Both antenna ports of each pair are mapped onto the same set of antenna element locations with the same precoding or beamforming (i.e., both are mapped onto a same set of {(m,n)} and a same precoding is applied on the set of antennas with the same polarization), but they are on the antennas with different polarization, i.e., a first port is mapped onto p=0 and a second port is mapped onto p=1. It is noted that the same precoding here is just for the ease of illustration, and the principles of the related embodiments can apply even if different precoding is applied to the sets of differently polarized antennas.
    - 1. In one example, a first CSI-RS of a first pair of CSI-RS ports is transmitted on a first group of antennas (or TXRUs) {(m,n,p=0), m=0, . . . , M−1, n=0, . . . , N−1}, with +45° polarization wherein a first antenna virtualization precoder w⁽¹⁾is applied on the group of antennas; and a second CSI-RS of the pair of CSI-RS is transmitted on a second group of antennas (or TXRUs) {(m,n,p=1), m=0, . . . M−1, n=0, . . . , N−1}, with −45° polarization, wherein the same antenna virtualization precoder w⁽¹⁾is applied on the group of antennas. When M=8 and N=2, for example, the virtualization mapping on the MN elements with a first polarization for the first CSI-RS (denoted as s_a=0) and the mapping for the second CSI-RS (denoted as s_a=1) would respectively be:

$[\begin{matrix} x_{(m = 0, n = 0, p = 0)} \\ ⋮ \\ x_{(m = 7, n = 0, p = 0)} \\ x_{(m = 0, n = 1, p = 0)} \\ ⋮ \\ x_{(m = 7, n = 1, p = 0)} \end{matrix}] = [\begin{matrix} w_{(m = 0, n = 0)}^{(1)} \\ ⋮ \\ w_{(m = 7, n = 0)}^{(1)} \\ w_{(m = 0, n = 1)}^{(1)} \\ ⋮ \\ w_{(m = 7, n = 1)}^{(1)} \end{matrix}] s_{a = 0}; and [\begin{matrix} x_{(m = 0, n = 0, p = 1)} \\ ⋮ \\ x_{(m = 7, n = 0, p = 1)} \\ x_{(m = 0, n = 1, p = 1)} \\ ⋮ \\ x_{(m = 7, n = 1, p = 1)} \end{matrix}] = [\begin{matrix} w_{(m = 0, n = 0)}^{(1)} \\ ⋮ \\ w_{(m = 7, n = 0)}^{(1)} \\ w_{(m = 0, n = 1)}^{(1)} \\ ⋮ \\ w_{(m = 7, n = 1)}^{(1)} \end{matrix}] s_{a = 1},$

- - - wherein x_(m,n,p)is a signal mapped on element (m, n, p), and

$w^{(1)} = [\begin{matrix} w_{(m = 0, n = 0)}^{(1)} \\ ⋮ \\ w_{(m = 7, n = 0)}^{(1)} \\ w_{(m = 0, n = 1)}^{(1)} \\ ⋮ \\ w_{(m = 7, n = 1)}^{(1)} \end{matrix}] .$

- c. Q may be decomposed into Q=N_P·N_H·N_V, wherein N_Pis number of polarization dimensions, N_His a number of antenna ports in a row; and N_Vis a number of antenna ports in column of 2D rectangular antenna array. In one example, N_P=2, N_V=4 and N_H=4.

FIG. 16 illustrates eNB's beamformed CSI-RS transmission 1600 according to some embodiments of the present disclosure. In the figure, eNB transmits 8-port CSI-RS, labeled as A1-A4 and B1-B4, wherein A1-A4 are beams generated with a group of antenna ports with a first polarization, and B1-B4 are beams generated with a group of antenna ports with a second polarization.

In some embodiments, the four beams in FIG. 16 may correspond to adjacent/non-orthogonal beams.

FIG. 17 illustrates eNB's beamformed CSI-RS transmission 1700 according to some embodiments of the present disclosure. In these embodiments, eNB transmits two groups of orthogonal beams, where A1/B1 and A3/B3 are orthogonal to each other, and A2/B2 and A4/B4 are orthogonal to each other. Furthermore, A1/B1 and A2/B2 are adjacent beams; and A3/B3 and A4/B4 are adjacent beams. Similarly to the embodiments related to FIG. 16, for each beam direction two beams are transmitted: one (denoted by A#, e.g., A1) from a first polarization and the other (denoted by B#, e.g., B1) from a second polarization.

In some embodiments, the two orthogonal beams A1/B1 and A3/B3, and A2/B2 and A4/B4 are orthogonal in either one of the two dimensions, horizontal and vertical, or in both dimensions. For example, when A1=b_v1 custom character b_h1and A3=b_v3b_h3, then we may either have (b_v1,b_v3) as the orthogonal pair; or (b_h1, b_h3) as the orthogonal pair, or both (b_v1, b_v3), and (b_h1, b_h3) as orthogonal pairs.

In some embodiments, eNB configures beam directions for beamformed CSI-RS for a UE, according to the uplink sounding measurement. When eNB measures that the UE has large angle spread enough to support orthogonal beams, the eNB configures the beam directions according to the embodiments related to FIG. 17; when the eNB measures that the UE has too small angle spread to support orthogonal beams, the eNB configures the beam directions according to the embodiments related to FIG. 16.

When eNB transmits beams of beamformed CSI-RS according to FIG. 17, the UE can support more than rank 2 transmissions, with exploiting both x-pol orthogonality and beam orthogonality. In such a case, the UE is configured to report more than rank 2 CSI in its CSI report.

When eNB transmits beams of beamformed CSI-RS according to FIG. 16, the UE cannot support more than rank 2 transmissions, as only x-pol orthogonality can be exploited for 2-layer transmissions. In such a case, the UE is configured to report up to rank 2 CSI in its CSI report.

It is noted that eNB should be able to configure the beam directions dependent upon UE's angle spread, UE distribution, carrier frequency, etc. Hence, it would be desirable if the related specification designs support eNB's flexible configuration of beam directions.

Although the figures (i.e., FIG. 16 and FIG. 17) illustrate a case with a particular number of CSI-RS (i.e., 8-port CSI-RS), the embodiments associated with the figure are generally applicable to any number of CSI-RS, including 2-port CSI-RS (comprising A1 and B1), and 4-port CSI-RS (comprising A1, A2, B1 and B2).

UE's CSI reporting behavior changes dependent upon whether beamformed CSI-RS or non-precoded CSI-RS is configured. In case beamformed CSI-RS is configured, the UE is configured to report selected beam index (BI); on the other hand non-precoded CSI-RS is configured the UE is configured to report the first PMI (also known as W1 or i₁in the relevant sections of 3GPP TS 36.213) for a precoder beam selection.

In some embodiments, a UE can be configured to report either the first PMI (W1) or BI. When BI is reported, the BI is reported in place of W1 in both PUSCH and PUCCH reports. To control this behavior, it is necessary for eNB to configure the UE of the CSI reporting type: BI or the first PMI. A few alternatives for eNB's indicating this configuration are devised as follows.

Alt 1: A new information element (IE) is added to the CSI-RS resource configuration (i.e., CSI-RS-ConfigNZP in 3GPP TS 36.331) to indicate whether a CSI-RS type is beamformed or non-precoded. If a UE is configured with non-precoded CSI-RS, the UE is further configured to report the first PMI (W1); on the other hand, if the UE is configured with beamformed CSI-RS, the UE is further configured to report BI.

Alt 2: A new IE is added to the CSI reporting configuration (i.e., CQI-ReportConfig in 3GPPTS36.331) to indicate whether a UE should report W1 or BI.

Alt 3: A group of new feedback modes may be added for each of PUCCH and PUSCH reporting for the BI reporting. In one example, the PUSCH and PUCCH reporting mode tables can be revised into Table 14, so that now additional columns are used for BI feedback modes (added an appending “a” to the mode names for PMI).

TABLE 14

CQI and PMI Feedback Types for PUSCH CSI reporting Modes

PMI Feedback Type

Single

Multiple
Multiple

No PMI
PMI
Single BI
PMI
BIs

PUSCH
Wideband

Mode
Mode

CQI
(wideband CQI)

1-2
1-2a

Feedback
UE Selected
Mode

Mode
Mode

Type
(subband CQI)
2-0

2-2
2-2a

Higher
Mode
Mode 3-1
Mode
Mode
Mode

Layer-configured
3-0

3-1a
3-2
3-2a

(subband CQI)

TABLE 15

CQI and PMI Feedback Types for PUCCH CSI reporting Modes

PMI Feedback Type

No PMI
Single PMI
Single BI

PUCCH CQI
Wideband
Mode 1-0
Mode 1-1
Mode 1-1a

Feedback Type
(wideband CQI)

UE Selected
Mode 2-0
Mode 2-1
Mode 2-1a

(subband CQI)

Alt 4: A new set of CSI-RS port numbers (e.g., 200-207) are allocated to beamformed CSI-RS. If antenna ports 15-22 (and 23-30) are configured, the UE reports W1; else if antenna ports 200-207 are configured, the UE reports BI.

In some embodiments, for the operations related FIG. 17, eNB configures one CSI-RS resource for all the CSI-RS antenna ports A1-A4 and B1-B4.

In one method (Method 1), the antenna ports A1-A4 and B1-B4 map to antenna ports 15-22 in 3GPP LTE. In another method (Method 2), the antenna ports are mapped to antenna ports 200-207, which are allocated for beamformed CSI-RS. In another method (Method 3 & 4), two adjacent port numbers are allocated to one in a first beam group comprising A1-A4, and the other in a second beam group comprising B1-B4. The below table illustrates these three methods.

TABLE 16

Beam (or antenna port)
Assigned antenna

Alternatives
numbers in FIG. 17
port numbers

Method 1
{A1-A4, B1-B4}
15-22 of a CSI-RS

resource

Method 2
{A1-A4, B1-B4}
200-207 of a first

CSI-RS resource

Method 3
{A1, B1, A2, B2, A3,
{15, 16, 17, 18,

B3, A4, B4}
19, 20, 21, 22}

Method 3
{A1, B1, A2, B2, A3,
{200, 201, 202, 203,

B3, A4, B4}
204, 205, 206, 207}

In some embodiments, for the operations related FIG. 17, eNB configures two CSI-RS resources comprising a CSI process: one for A1-A4 and the other for B1-B4.

In one method, each group of the antenna ports A1-A4 and B1-B4 respectively maps to antenna ports 15-18 in 3GPP LTE. In another method, each group is mapped to antenna ports 200-203, which are allocated for beamformed CSI-RS. The below table illustrates these two methods.

TABLE 17

Beam (or antenna port)
Assigned antenna

Alternatives
numbers in FIG. 16
port numbers

Method 1
A1-A4
15-18 of a first

CSI-RS resource

B1-B4
15-18 of a second

CSI-RS resource

Method 2
A1-A4
200-203 of a first

CSI-RS resource

B1-B4
200-203 of a second

CSI-RS resource

In some embodiments, a UE is configured to receive Q port CSI-RS transmitted according to FIG. 17, and is further configured to select one pair of antenna ports for CSI reporting. Here, the one pair of antenna ports comprise a first antenna port selected from antenna ports A1-A4, and a second antenna port selected from antenna ports B1-B4.

In one such embodiment, the UE is configured with Q=8 port CSI-RS according to FIG. 17, and the BI comprises 4 bits, wherein 2 bits are for indicating one port out of ports A1-A4, and the other 2 bits are for indicating one port out of ports B1-B4. As the number of bits used for BI is 4 bits, which is the same as the number of bits used for W1 feedback in legacy LTE, it is proposed that the BI replace W1 (the first PMI, or i₁) in both PUCCH and PUSCH reports when TM9 and 10 or another TM defined for FD-MIMO is configured.

TABLE 18

Port indication using 1^stand 2^ndBIs

Reported value

Reported value

for 1^stBI
Selected
for 2^ndBI
Selected

(2 bits)
port index
(2 bits)
port index

00
A1
00
B1

01
A2
01
B2

10
A3
10
B3

11
A4
11
B4

In another such embodiment, the UE is configured with Q=8 port CSI-RS according to FIG. 17, and the BI comprises 2 bits, wherein the 2 bits are for indicating one port out of each of two port groups: ports A1-A4 and ports B1-B4. It is proposed that the BI replace W1 (the first PMI, or i₁) in both PUCCH and PUSCH reports when TM 9 and 10 or another TM defined for FD-MIMO is configured.

TABLE 19

Port indication using BI

Reported value

for BI
Selected
Selected

(2 bits)
port index
port index

00
A1
B1

01
A2
B2

10
A3
B3

11
A4
B4

According to FIG. 17, the two selected ports corresponding to a single BI value in Table 19 are for a same beam with two different polarizations.

In these embodiments, the UE can be further configured to report beam co-phase PMI (e.g., according to 2-Tx PMI table: Table 13) and corresponding CQI, wherein the co-phase PMI is applied on the selected two ports.

In some embodiments, for CQI derivation purpose, UE needs to assume that PDSCH signals on antenna ports {7 . . . 6+ν} for ν∈{1,2} layers would result in signals equivalent to corresponding symbols transmitted on antenna numbers A∈{A1, A2, A3, A4} and B∈{B1, B2, B3, B4}, as given by

$[\begin{matrix} y^{(A)} (i) \\ y^{(B)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(v - 1)} (i) \end{matrix}],$

where x(i)=[x⁽⁰⁾(i) . . . x^(ν-1)(i)]^Tis a vector of symbols from the layer mapping in subclause 6.3.3.2 of 3GPPTS36.211, where W(i) is a co-phase matrix, or the precoding matrix in Table 14, corresponding to the reported PMI applicable to x(i).

In some embodiments, a UE is configured to receive Q=8 port CSI-RS transmitted according to FIG. 17, and is further configured to report information on the identity of one or two selected pair(s) of antenna ports and a co-phase, corresponding to a new PMI. Here, the one pair of antenna ports comprise a first antenna port selected from antenna ports A1-A4, and a second antenna port selected from antenna ports B1-B4.

In one method (denoted as Method 1), the information on the pair(s) of selected antenna ports and a co-phase is indicated by a single bit field. In one such embodiment, the UE is configured to report a 4-bit PMI, to indicate selected pair(s) of ports and a co-phase matrix.

In another method (denoted as Method 2), a first bit field indicates the pair(s) of selected antenna ports; and a second bit field indicates the co-phase. In one such embodiment, the UE is configured to report the first and the second bit fields, wherein each of the first and the second bit fields comprise two bits.

For 1-layer CSI reporting, only one pair of antenna ports is selected. In this case, a UE would assume the following equation to derive PMI/CQI/RI:

$[\begin{matrix} y^{(A)} (i) \\ y^{(B)} (i) \end{matrix}] = W (i) x^{(0)} (i) .$

Example indication table for 1-layer CSI reporting according to Method 1 can be found in Table 20.

TABLE 20

Port and co-phase indication using a 4-bit field for 1-layer CSI reporting

Reported value

for a new PMI
Selected port indices (A, B);

(the 4-bit field)
and a co-phase matrix: W(i)

0

(A 1, B 1); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

(A 1, B 1); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

(A 1, B 1); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

(A 1, B 1); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

(A 2, B 2); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

(A 2, B 2); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

(A 2, B 2); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

(A 2, B 2); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

(A 3, B 3); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

(A 3, B 3); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

(A 3, B 3); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

(A 3, B 3); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

(A 4, B 4); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

(A 4, B 4); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

(A 4, B 4); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

(A 4, B 4); \frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

Example indication table for 1-layer CSI reporting according to Method 2 can be found in Table 21 and Table 22.

TABLE 21

Selected port indication for 1-layer CSI reporting

Value in the

first bit field
Selected port

(2 bits)
indices (A, B)

0
(A1, B1)

1
(A2, B2)

2
(A3, B3)

3
(A4, B4)

TABLE 22

Co-phase precoder indication for 1-layer CSI reporting

Value in the second bit field (2 bits)
Co-phase precoder

0

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \end{matrix}]

For 2-layer CSI reporting, either one or two pairs of antenna ports are selected. In this case, a UE would either of the following two equations to derive PMI/CQI/RI, depending on the value to report in the 4-bit field:

$\begin{matrix} [\begin{matrix} y^{(S 1)} (i) \\ y^{(S 2)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ x^{(1)} (i) \end{matrix}], & Eqn 1) \end{matrix}$

- wherein W(i) is a 2×2 matrix; or

$\begin{matrix} [\begin{matrix} y^{(S 1)} (i) \\ y^{(S 2)} (i) \\ y^{(S 3)} (i) \\ y^{(S 4)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ x^{(1)} (i) \end{matrix}], & Eqn 2) \end{matrix}$

- wherein W(i) is a 4×2 matrix.

Example indication table for 2-layer CSI reporting according to Method 1 can be found in Table 23.

Eqn 1 is used when only one pair of antenna ports comprising a same beam are selected (or when the PMI value is 0-7), and Eqn 2 is used when two pairs of antenna ports respectively comprising two beams are selected (or when the PMI value is 8-15). When two beams are selected, each columns of 2-Tx rank-2 PMI are applied on either pair of antenna ports.

TABLE 23

Port and co-phase indication using a 4-bit field for 2-layer CSI reporting

Reported value
Selected port indices
Reported value
Selected port indices

for a new PMI
(S1, S2); and a co-phase
for a new PMI
(S1,S2,S3,S4); and

(the 4-bit field)
matrix: W(i)
(the 4-bit field)
a co-phase matrix: W(i)

0

(A 1, B 1); \frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}]

(A 1, B 1, A 2, B 2); \frac{1}{2} [\begin{matrix} 1 & 0 \\ 1 & 0 \\ 0 & 1 \\ 0 & - 1 \end{matrix}]

(A 1, B 1); \frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \end{matrix}]

(A 1, B 1, A 2, B 2); \frac{1}{2} [\begin{matrix} 1 & 0 \\ j & 0 \\ 0 & 1 \\ 0 & - j \end{matrix}]

(A 2, B 2); \frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}]

(A 2, B 2, A 3, B 3); \frac{1}{2} [\begin{matrix} 1 & 0 \\ 1 & 0 \\ 0 & 1 \\ 0 & - 1 \end{matrix}]

(A 2, B 2); \frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \end{matrix}]

(A 2, B 2, A 3, B 3); \frac{1}{2} [\begin{matrix} 1 & 0 \\ j & 0 \\ 0 & 1 \\ 0 & - j \end{matrix}]

(A 3, B 3); \frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}]

(A 1, B 1, A 4, B 4); \frac{1}{2} [\begin{matrix} 1 & 0 \\ 1 & 0 \\ 0 & 1 \\ 0 & - 1 \end{matrix}]

(A 3, B 3); \frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \end{matrix}]

(A 1, B 1, A 4, B 4); \frac{1}{2} [\begin{matrix} 1 & 0 \\ j & 0 \\ 0 & 1 \\ 0 & - j \end{matrix}]

(A 4, B 4); \frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}]

(A 2, B 2, A 4, B 4); \frac{1}{2} [\begin{matrix} 1 & 0 \\ 1 & 0 \\ 0 & 1 \\ 0 & - 1 \end{matrix}]

(A 4, B 4); \frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \end{matrix}]

(A 2, B 2, A 4, B 4); \frac{1}{2} [\begin{matrix} 1 & 0 \\ j & 0 \\ 0 & 1 \\ 0 & - j \end{matrix}]

Example indication table for 2-layer CSI reporting according to Method 2 can be found in Table 24 and Table 25. As shown in Table 24, two types of 2-layer transmissions are supported: (1) a single beam: on a pair of antenna ports with two different polarizations (bit field values 0-3); and (2) a dual beam: on two pairs of antenna ports with two different polarizations (bit field values 4-7).

Eqn 1 is used when only one pair of antenna ports comprising a same beam are selected, and Eqn 2 is used when two pairs of antenna ports respectively comprising two beams are selected. When two beams are selected, each columns of 2-Tx rank-2 PMI are applied on either pair of antenna ports.

TABLE 4

=24 Selected port indication for 2-layer CSI reporting

Value in the
Selected port

first bit field
indices (S1, S2) or

(3 bits)
(S1, S2, S3, S4)

0
(A1, B1)

1
(A2, B2)

2
(A3, B3)

3
(A4, B4)

4
(A1, B1, A2, B2)

5
(A2, B2, A3, B3)

6
(A1, B1, A4, B4)

7
(A2, B2, A4, B4)

TABLE 25

Co-phase precoder indication for 2-layer CSI reporting

Value in the
Co-phase precoder

second bit
When two ports (or one
When four ports (or two

field (1 bit)
pair of ports) selected
pairs of ports) selected

0

\frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 0 \\ 1 & 0 \\ 0 & 1 \\ 0 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 0 \\ j & 0 \\ 0 & 1 \\ 0 & - j \end{matrix}]

For 3-layer CSI reporting, four antenna ports, {S1, S2, S3, S4} are selected. In this case, the UE would use the following equation to derive PMI/CQI/RI:

$\begin{matrix} [\begin{matrix} y^{(S 1)} (i) \\ y^{(S 2)} (i) \\ y^{(S 3)} (i) \\ y^{(S 4)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ x^{(1)} (i) \\ x^{(2)} (i) \\ x^{(3)} (i) \end{matrix}], & Eqn 2) \end{matrix}$

- wherein W(i) is a 4×3 matrix.

An example table for 3-layer co-phase precoders on the selected antenna ports {S1, S2, S3, S4} can be found in Table 26. For the first two layers comprising the two ports S1 and S2 comprising a first beam, an x-pol orthogonality is exploited with a co-phase factor (φ) either 1 or j. A single stream is transmitted on the 3^rdlayer comprising the two ports S3 and S4 comprising a second beam, with a co-phase factor 1 or −1.

TABLE 26

Co-phase precoder indication for 3-layer CSI reporting

Value in the second bit
Co-phase Precoder

field (2 bits)
When four ports (or two pairs of ports) selected

0

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 \\ 1 & - 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 \\ j & - j & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 \\ 1 & - 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 \\ j & - j & 0 \\ 0 & 0 & 1 \\ 0 & 0 & - 1 \end{matrix}]

For 4-layer CSI reporting, four antenna ports, {S1, S2, S3, S4} are selected. In this case, the UE would use the following equation to derive PMI/CQI/RI:

- wherein W(i) is a 4×4 matrix.

An example table for 4-layer co-phase precoders on the selected antenna ports {S1, S2, S3, S4} can be found in Table 27.

Rank-4 co-phase precoders comprises four columns, wherein the first two columns are used for rank-2 precoding on the first two selected antenna ports (S1 and S2), and the last two columns are used for rank-2 precoding on the last two selected antenna ports (S3 and S4). For each of those two groups of rank-2 precoding, an x-pol orthogonality is exploited with a co-phase factor (φ) either 1 or j.

TABLE 27

Co-phase precoder indication for 4-layer CSI reporting

Value in the second
Co-phase Precoder

bit field (2 bits)
When four ports (or two pairs of ports) selected

0

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 & 0 \\ 1 & - 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 & 0 \\ j & - j & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 & 0 \\ 1 & - 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & j & - j \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 & 0 & 0 \\ j & - j & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & j & - j \end{matrix}]

In some embodiments, when beamformed CSI-RS is configured, for facilitating eNB's flexible beam allocation across the antenna ports, UE can be configured with a plurality of sets of port numbers to be indicated by the values of a PMI bit field. The UE is higher-layer configured with a set of port indices for each value of the PMI bit field. Furthermore, when beamformed CSI-RS is configured, the UE can additionally be configured the maximum number of layers (i.e., maximum RI) to be reported in the CSI reports.

In one method, this higher-layer indication is configured for more than n layer CSI reporting wherein n is an integer ≥1. For each rank supported by the UE greater than n, the UE is configured with a plurality of sets of port indices, to be mapped to either a subset or a full set of values of a PMI bit field of the corresponding rank.

In one such embodiment, n=1, in which case the higher-layer indication is configured for RI>1.

In one such embodiment, n=1:

- For 2-layer CSI reporting, four sets of port indices for RI=2 are configured by higher-layer, to be used for PMI values 4 to 7, e.g., according to Table 28.
- For 3-layer CSI reporting, four sets of port indices for RI=3 are configured by higher-layer, to be used for PMI values 0 to 3, e.g., according to Table 29.
- For 4-layer CSI reporting, four sets of port indices for RI=4 are configured by higher-layer, to be used for PMI values 0 to 3, e.g., according to Table 29.

It is noted that the tables here are just for illustration, and configuration of other number of sets can also be applicable according to the principles of the present disclosure.

TABLE 28

Selected port indication for 2-layer CSI reporting

Value in the
Selected port

first bit field
indices (S1, S2) or

(3 bits)
(S1, S2, S3, S4)

0
(A1, B1)

1
(A2, B2)

2
(A3, B3)

3
(A4, B4)

4
A first set of four port indices for

RI = 2 indicated by higher layer

5
A second set of four port indices for

RI = 2 indicated by higher layer

6
A third set of four port indices for

RI = 2 indicated by higher layer

7
A fourth set of four port indices for

RI = 2 indicated by higher layer

TABLE 29

Selected port indication for x-layer CSI reporting

Value in the

first bit field
Selected port

(2 bits)
indices (S1, S2, S3, S4)

0
A first set of four port indices for

RI = x indicated by higher layer

1
A second set of four port indices for

RI = x indicated by higher layer

2
A third set of four port indices for

RI = x indicated by higher layer

3
A fourth set of four port indices for

RI = x indicated by higher layer

In some embodiments, a UE is configured to receive Q=4 port CSI-RS transmitted according to similarly to FIG. 17, and is further configured to report a precoding matrix to apply on the configured 4 CSI-RS ports, using a bit field, which corresponds to a new PMI. Here, the one pair of antenna ports comprise a first antenna port selected from antenna ports A1-A2, and a second antenna port selected from antenna ports B1-B2.

In one such embodiment, the UE is configured to report a PMI, the number of bits for which changes dependent upon the reported RI. In one method (denoted as method 1), a precoding equation for these embodiments can be written as:

$[\begin{matrix} y^{(A 1)} (i) \\ y^{(B 1)} (i) \\ y^{(A 2)} (i) \\ y^{(B 2)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(v - 1)} (i) \end{matrix}] .$

In another method (denoted as method 2), the precoding equation for these embodiments can be written as:

$[\begin{matrix} y^{(A 1)} (i) \\ y^{(A 2)} (i) \\ y^{(B 1)} (i) \\ y^{(B 2)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(v - 1)} (i) \end{matrix}] .$

In this case, the beam selection operation is replaced with placing 0's in the precoder matrix entries. For example, to select A1 and A2 out of the four ports, the last two rows of the precoder matrix W(i) are forced to be zero, and a PMI precoder is applied on the selected antenna ports of A1 and A2, as illustrated in the table entries for the PMI=0-3 in Table 30.

For 1-layer CSI reporting a 3-bit PMI is used. Example indication table for 1-layer CSI reporting can be found in Table 30.

TABLE 30

Precoder indication using a 3-bit field for 1-layer CSI reporting

Reported value for a new PMI
Precoder matrix W(i)

(the 3-bit field)
Method 1
Method 2

0

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 1 \\ 0 \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 0 \\ 1 \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ j \\ 0 \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 0 \\ j \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - 1 \\ 0 \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 0 \\ - 1 \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ - j \\ 0 \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 0 \\ - j \\ 0 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 0 \\ 1 \\ 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 1 \\ 0 \\ 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 0 \\ 1 \\ j \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 1 \\ 0 \\ j \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 0 \\ 1 \\ - 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 1 \\ 0 \\ - 1 \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 0 \\ 1 \\ - j \end{matrix}]

\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 1 \\ 0 \\ - j \end{matrix}]

For 2-layer CSI reporting a 3-bit PMI is used. Example indication table for 2-layer CSI reporting can be found in Table 31.

TABLE 31

Precoder indication using a 3-bit field for 2-layer CSI reporting

Reported value for a new PMI
Precoder matrix W(i)

(the 3-bit field)
Method 1
Method 2

0

\frac{1}{2} [\begin{matrix} 1 & 1 \\ 1 & - 1 \\ 0 & 0 \\ 0 & 0 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 \\ 0 & 0 \\ 1 & - 1 \\ 0 & 0 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 \\ j & - j \\ 0 & 0 \\ 0 & 0 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 1 \\ 0 & 0 \\ j & - j \\ 0 & 0 \end{matrix}]

\frac{1}{2} [\begin{matrix} 0 & 0 \\ 0 & 0 \\ 1 & 1 \\ 1 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 0 & 0 \\ 1 & 1 \\ 0 & 0 \\ 1 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 0 & 0 \\ 0 & 0 \\ 1 & 1 \\ j & - j \end{matrix}]

\frac{1}{2} [\begin{matrix} 0 & 0 \\ 1 & 1 \\ 0 & 0 \\ j & - j \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 0 \\ 1 & 0 \\ 0 & 1 \\ 0 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 0 \\ 0 & 1 \\ 1 & 0 \\ 0 & - 1 \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 0 \\ j & 0 \\ 0 & 1 \\ 0 & - j \end{matrix}]

\frac{1}{2} [\begin{matrix} 1 & 0 \\ 0 & 1 \\ j & 0 \\ 0 & - j \end{matrix}]

6
Reserved
Reserved

7
Reserved
Reserved

For 3-layer CSI reporting a 2-bit PMI is used. Example indication table for 3-layer CSI reporting can be found in Table 32.

TABLE 32

Precoder indication using a 2-bit field for 3-layer CSI reporting

Reported value for a
Precoder matrix W(i)

new PMI (the 2-bit field)
Method 1
Method 2

0

\frac{1}{\sqrt{8}} [\begin{matrix} 1 & 1 & 0 \\ 1 & - 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & - 1 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 1 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & - 1 & 0 \\ 0 & 0 & - 1 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 0 & 1 & 0 \\ 0 & - 1 & 0 \\ 1 & 0 & 1 \\ 1 & 0 & - 1 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 0 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & - 1 & 0 \\ 1 & 0 & - 1 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 1 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 1 & - 1 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & - 1 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 0 & 1 & 1 \\ 0 & 1 & - 1 \\ 1 & 0 & 0 \\ 1 & 0 & 0 \end{matrix}]

\frac{1}{\sqrt{8}} [\begin{matrix} 0 & 1 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & - 1 \\ 1 & 0 & 0 \end{matrix}]

For 4-layer CSI reporting a 1-bit PMI is used. Example indication table for 4-layer CSI reporting can be found in Table 33.

TABLE 33

Precoder indication using a 1-bit field for 4-layer CSI reporting

Reported value for a
Precoder matrix W(i)

new PMI (the 2-bit field)
Method 1
Method 2

0

\frac{1}{4} [\begin{matrix} 1 & 0 & 1 & 0 \\ 1 & 0 & - 1 & 0 \\ 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & - 1 \end{matrix}]

\frac{1}{4} [\begin{matrix} 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ 1 & 0 & - 1 & 0 \\ 0 & 1 & 0 & - 1 \end{matrix}]

\frac{1}{4} [\begin{matrix} 1 & 0 & 1 & 0 \\ j & 0 & - j & 0 \\ 0 & 1 & 0 & 1 \\ 0 & j & 0 & - j \end{matrix}]

\frac{1}{4} [\begin{matrix} 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ j & 0 & - j & 0 \\ 0 & j & 0 & - j \end{matrix}]

Although these embodiments are constructed assuming that the antenna ports are numbered in an order of (A1, B1, A2, B2), which gives particular placements of zero elements in the precoding matrix, it is noted that the same principle easily applies to different orders of antenna port numbers.

For example, if the antenna port numbers are in the order of (A1,A2, B1, B2), then the precoding equation is replaced to:

$[\begin{matrix} y^{(A 1)} (i) \\ y^{(A 2)} (i) \\ y^{(B 1)} (i) \\ y^{(B 2)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(v - 1)} (i) \end{matrix}],$

and table entries in Table 30 Table for PMI=0 and 4 will be respectively replaced with

$\frac{1}{\sqrt{2}} [\begin{matrix} 1 \\ 0 \\ 1 \\ 0 \end{matrix}]$

$and$

$\frac{1}{\sqrt{2}} [\begin{matrix} 0 \\ 1 \\ 0 \\ 1 \end{matrix}],$

so that the selected antenna ports of (A1, B1) and (A2, B2) are correctly reflected in the precoder representation. Other table entries in Table can also be similarly constructed, and other tables can also be similarly constructed.

Although these embodiments are illustrated for Q=4, it is noted that the same principle applies to the cases of Q=8 and Q=2.

For example, for Q=8, in one method (denoted as Method 3, which is similar to Method 1) a precoding equation can be written as:

$[\begin{matrix} y^{(A 1)} (i) \\ y^{(B 1)} (i) \\ y^{(A 2)} (i) \\ y^{(B 2)} (i) \\ y^{(A 3)} (i) \\ y^{(B 3)} (i) \\ y^{(A 4)} (i) \\ y^{(B 4)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(υ - 1)} (i) \end{matrix}] .$

In another method (denoted as Method 4, which is similar to Method 2), the precoding equation can be written as:

$[\begin{matrix} y^{(A 1)} (i) \\ y^{(A 2)} (i) \\ y^{(A 3)} (i) \\ y^{(A 4)} (i) \\ y^{(B 1)} (i) \\ y^{(B 2)} (i) \\ y^{(B 3)} (i) \\ y^{(B 4)} (i) \end{matrix}] = W (i) [\begin{matrix} x^{(0)} (i) \\ ⋮ \\ x^{(υ - 1)} (i) \end{matrix}] .$

The PMI precoding matrix tables of Table 30, Table 31, Table 32 and Table 33 can be correspondingly revised to reflect the new number of rows in this case, and the number of entries in each table become double, to cope with two additional beams (or 4 additional CSI-RS ports).

For 1-layer CSI reporting a 4-bit PMI is used. Example indication table for 1-layer CSI reporting according to Method 3 can be found in Table 34.

TABLE 34

Precoder indication using the 4-bit field for

1-layer CSI reporting (Method 3)

Reported value for the new PMI
Precoder matrix W(i)

0

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & 1 & 0 & 0 & 0 & 0 & 0 & {0]}^{t} \end{matrix}

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & j & 0 & 0 & 0 & 0 & 0 & {0]}^{t} \end{matrix}

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & - 1 & 0 & 0 & 0 & 0 & 0 & {0]}^{t} \end{matrix}

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & - j & 0 & 0 & 0 & 0 & 0 & {0]}^{t} \end{matrix}

4-7 ([a b] = [1 1], [1 j], [1 -1], [1 −j] for 4, 5, 6, 7)

\frac{1}{\sqrt{2}} [\begin{matrix} 0 & 0 & a & b & 0 & 0 & 0 & {0]}^{t} \end{matrix}

8-11 ([a b] = [1 1], [1 j], [1 -1], [1 −j] for 8, 9, 10, 11)

\frac{1}{\sqrt{2}} [\begin{matrix} 0 & 0 & 0 & 0 & a & b & 0 & {0]}^{t} \end{matrix}

12-15 ([a b] = [1 1], [1 j], [1 -1], [1 −j] for 12, 13, 14, 15)

\frac{1}{\sqrt{2}} [\begin{matrix} 0 & 0 & 0 & 0 & 0 & 0 & a & {b]}^{t} \end{matrix}

Similarly, example indication table for 1-layer CSI reporting according to Method 4 can be found in Table 35.

TABLE 35

Precoder indication using the 4-bit field for

1-layer CSI reporting (Method 4)

Reported value for the new PMI
Precoder matrix W(i)

0

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & 0 & 0 & 0 & 1 & 0 & 0 & {0]}^{t} \end{matrix}

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & 0 & 0 & 0 & j & 0 & 0 & {0]}^{t} \end{matrix}

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & 0 & 0 & 0 & - 1 & 0 & 0 & {0]}^{t} \end{matrix}

\frac{1}{\sqrt{2}} [\begin{matrix} 1 & 0 & 0 & 0 & - j & 0 & 0 & {0]}^{t} \end{matrix}

4-7 ([a b] = [1 1], [1 j], [1 -1], [1 −j] for 4, 5, 6, 7)

\frac{1}{\sqrt{2}} [\begin{matrix} 0 & a & 0 & 0 & 0 & b & 0 & {0]}^{t} \end{matrix}

8-11 ([a b] = [1 1], [1 j], [1 -1], [1 −j] for 8, 9, 10, 11)

\frac{1}{\sqrt{2}} [\begin{matrix} 0 & 0 & a & 0 & 0 & 0 & b & {0]}^{t} \end{matrix}

12-15 ([a b] = [1 1], [1 j], [1 -1], [1 −j] for 12, 13, 14, 15)

\frac{1}{\sqrt{2}} [\begin{matrix} 0 & 0 & 0 & a & 0 & 0 & 0 & {b]}^{t} \end{matrix}

For 2-layer CSI reporting a 4-bit PMI is used. Example indication table for 2-layer CSI reporting according to Method 3 can be found in Table 36.

TABLE 36

Precoder indication using the 4-bit field for

2-layer CSI reporting (Method 3)

Reported value for the new PMI
Precoder matrix W(i)

0

{\frac{1}{2} [\begin{matrix} 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & - 1 & 0 & 0 & 0 & 0 & 0 & 0 \end{matrix}]}^{t}

{\frac{1}{2} [\begin{matrix} 1 & j & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & - j & 0 & 0 & 0 & 0 & 0 & 0 \end{matrix}]}^{t}

2, 3 (a = 1 for PMI 2; a = j for PMI 3)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 1 & a & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & - a & 0 & 0 & 0 & 0 \end{matrix}]}^{t}

4, 5 (a = 1 for PMI 4; a = j for PMI 5)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 0 & 0 & 1 & a & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & - a & 0 & 0 \end{matrix}]}^{t}

6, 7 (a = 1 for PMI 6; a = j for PMI 7)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 0 & 0 & 0 & 0 & 1 & a \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & - a \end{matrix}]}^{t}

8, 9 (a = 1 for PMI 8; a = j for PMI 9)

{\frac{1}{2} [\begin{matrix} 1 & a & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & - a & 0 & 0 & 0 & 0 \end{matrix}]}^{t}

10, 11 (a = 1 for PMI 10; a = j for PMI 11)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 1 & a & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & - a & 0 & 0 \end{matrix}]}^{t}

12, 13 (a = 1 for PMI 12; a = j for PMI 13)

{\frac{1}{2} [\begin{matrix} 1 & a & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & - a \end{matrix}]}^{t}

14, 15 (a = 1 for PMI 14; a = j for PMI 15)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 1 & a & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & - a \end{matrix}]}^{t}

For 2-layer CSI reporting a 4-bit PMI is used. Example indication table for 2-layer CSI reporting according to Method 4 can be found in Table 37.

TABLE 37

Precoder indication using the 4-bit field for

2-layer CSI reporting (Method 4)

Reported value for the new PMI
Precoder matrix W(i)

0

{\frac{1}{2} [\begin{matrix} 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 0 & 0 & - 1 & 0 & 0 & 0 \end{matrix}]}^{t}

{\frac{1}{2} [\begin{matrix} 1 & 0 & 0 & 0 & j & 0 & 0 & 0 \\ 1 & 0 & 0 & 0 & - j & 0 & 0 & 0 \end{matrix}]}^{t}

2, 3 (a = 1 for PMI 2; a = j for PMI 3)

{\frac{1}{2} [\begin{matrix} 0 & 1 & 0 & 0 & 0 & a & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & - a & 0 & 0 \end{matrix}]}^{t}

4, 5 (a = 1 for PMI 4; a = j for PMI 5)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 1 & 0 & 0 & 0 & a & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & - a & 0 \end{matrix}]}^{t}

6, 7 (a = 1 for PMI 6; a = j for PMI 7)

{\frac{1}{2} [\begin{matrix} 0 & 0 & 0 & 1 & 0 & 0 & 0 & a \\ 0 & 0 & 0 & a & 0 & 0 & 0 & - a \end{matrix}]}^{t}

8, 9 (a = 1 for PMI 8; a = j for PMI 9)

{\frac{1}{2} [\begin{matrix} 1 & 0 & 0 & 0 & a & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & - a & 0 & 0 \end{matrix}]}^{t}

10, 11 (a = 1 for PMI 10; a = j for PMI 11)

{\frac{1}{2} [\begin{matrix} 0 & 1 & 0 & 0 & 0 & a & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & - a & 0 \end{matrix}]}^{t}

12, 13 (a = 1 for PMI 12; a = j for PMI 13)

{\frac{1}{2} [\begin{matrix} 1 & 0 & 0 & 0 & a & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & - a \end{matrix}]}^{t}

14, 15 (a = 1 for PMI 14; a = j for PMI 15)

{\frac{1}{2} [\begin{matrix} 0 & 1 & 0 & 0 & 0 & a & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & - a \end{matrix}]}^{t}

To aid the Patent Office and any readers of any patent issued on this application in interpreting the claims appended hereto, applicants wish to note that they do not intend any of the appended claims or claim elements to invoke 35 U.S.C. § 112(f) unless the words “means for” or “step for” are explicitly used in the particular claim. Use of any other term, including without limitation “mechanism,” “module,” “device,” “unit,” “component,” “element,” “member,” “apparatus,” “machine,” “system,” “processor,” or “controller,” within a claim is understood by the applicants to refer to structures known to those skilled in the relevant art and is not intended to invoke 35 U.S.C. § 112(f).

Although the present disclosure has been described with an exemplary embodiment, various changes and modifications may be suggested to one skilled in the art. It is intended that the present disclosure encompass such changes and modifications as fall within the scope of the appended claims.

Number	Name	Date	Kind
20140003395	Hsu et al.	Jan 2014	A1
20140078919	Hammarwall	Mar 2014	A1
20140086084	Bi et al.	Mar 2014	A1
20150036652	Lee et al.	Feb 2015	A1

Number	Date	Country
62181564	Jun 2015	US
62191319	Jul 2015	US
62194117	Jul 2015	US
62195061	Jul 2015	US
62197908	Jul 2015	US

Advanced beamforming and feedback methods for MIMO wireless communication systems

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