The present disclosure relates generally to wireless communication systems and, more specifically, the present disclosure relates to parameter tracking for channel state information (CSI) estimation.
Massive MIMO (mMIMO) technology is an important technology to improve the spectral efficiency of 4th generation (4G) and 5G cellular networks. A number of antennas in mMIMO is typically much larger than the number of user equipment (UE), which allows base station (BS) to perform multi-user downlink (DL) beamforming to schedule parallel data transmission on the same time-frequency resources. However, performance of mMIMO depends heavily on the quality of CSI at a BS. It has been recently verified that the multi user-MIMO (MU-MIMO) performance degrades according to UE mobility.
The present disclosure relates to wireless communication systems and, more specifically, the present disclosure relates to parameter tracking for CSI estimation.
In one embodiment, a base station (BS) in a wireless communication system is provided. The BS comprises a transceiver configured to receive information of uplink transmissions. The BS further comprises a processor operably connected to the transceiver, the processor configured to store the received information, perform, based on the received information, channel parameter tracking operations to generate channel parameters, wherein the channel parameter tracking operations are configured with different configuration parameters, and perform, based on the channel parameters, a channel coefficient prediction operation to generate channel state information (CSI).
In another embodiment, a method of a base station (BS) in a wireless communication system is provided. The method comprises: receiving information of uplink transmissions; storing the received information; performing, based on the received information, channel parameter tracking operations to generate channel parameters, wherein the channel parameter tracking operations are configured with different configuration parameters; and performing, based on the channel parameters, a channel coefficient prediction operation to generate channel state information (CSI).
In yet another embodiment, a non-transitory computer-readable medium comprising program code is provided. The non-transitory computer-readable medium, that when executed by at least one processor, causes a base station (BS) to: receive information of uplink transmissions; store the received information; perform, based on the received information, channel parameter tracking operations to generate channel parameters, wherein the channel parameter tracking operations are configured with different configuration parameters; and perform, based on the channel parameters, a channel coefficient prediction operation to generate channel state information (CSI).
Other technical features may be readily apparent to one skilled in the art from the following figures, descriptions, and claims.
Before undertaking the DETAILED DESCRIPTION below, it may be advantageous to set forth definitions of certain words and phrases used throughout this patent document. The term “couple” and its derivatives refer to any direct or indirect communication between two or more elements, whether or not those elements are in physical contact with one another. The terms “transmit,” “receive,” and “communicate,” as well as derivatives thereof, encompass both direct and indirect communication. The terms “include” and “comprise,” as well as derivatives thereof, mean inclusion without limitation. The term “or” is inclusive, meaning and/or. The phrase “associated with,” as well as derivatives thereof, means to include, be included within, interconnect with, contain, be contained within, connect to or with, couple to or with, be communicable with, cooperate with, interleave, juxtapose, be proximate to, be bound to or with, have, have a property of, have a relationship to or with, or the like. The term “controller” means any device, system, or part thereof that controls at least one operation. Such a controller may be implemented in hardware or a combination of hardware and software and/or firmware. The functionality associated with any particular controller may be centralized or distributed, whether locally or remotely. The phrase “at least one of,” when used with a list of items, means that different combinations of one or more of the listed items may be used, and only one item in the list may be needed. For example, “at least one of: A, B, and C” includes any of the following combinations: A, B, C, A and B, A and C, B and C, and A and B and C.
Moreover, various functions described below can be implemented or supported by one or more computer programs, each of which is formed from computer readable program code and embodied in a computer readable medium. The terms “application” and “program” refer to one or more computer programs, software components, sets of instructions, procedures, functions, objects, classes, instances, related data, or a portion thereof adapted for implementation in a suitable computer readable program code. The phrase “computer readable program code” includes any type of computer code, including source code, object code, and executable code. The phrase “computer readable medium” includes any type of medium capable of being accessed by a computer, such as read only memory (ROM), random access memory (RAM), a hard disk drive, a compact disc (CD), a digital video disc (DVD), or any other type of memory. A “non-transitory” computer readable medium excludes wired, wireless, optical, or other communication links that transport transitory electrical or other signals. A non-transitory computer readable medium includes media where data can be permanently stored and media where data can be stored and later overwritten, such as a rewritable optical disc or an erasable memory device.
Definitions for other certain words and phrases are provided throughout this patent document. Those of ordinary skill in the art should understand that in many if not most instances, such definitions apply to prior as well as future uses of such defined words and phrases.
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:
As shown in
The gNB 102 provides wireless broadband access to the network 130 for a first plurality of UEs within a coverage area 120 of the gNB 102. The first plurality of UEs includes a UE 111, which may be located in a small business; 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), such as a cell phone, a wireless laptop, a wireless PDA, or the like. The gNB 103 provides wireless broadband access to the network 130 for a second plurality of UEs within a coverage area 125 of the gNB 103. The second plurality of UEs includes the UE 115 and the UE 116. In some embodiments, one or more of the gNBs 101-103 may communicate with each other and with the UEs 111-116 using 5G/NR, LTE, LTE-A, WiMAX, WiFi, or other wireless communication techniques.
Depending on the network type, the term “base station” or “BS” can refer to any component (or collection of components) configured to provide wireless access to a network, such as transmit point (TP), transmit-receive point (TRP), an enhanced base station (eNodeB or eNB), a 5G/NR base station (gNB), a macrocell, a femtocell, a WiFi access point (AP), or other wirelessly enabled devices. Base stations may provide wireless access in accordance with one or more wireless communication protocols, e.g., 5G/NR 3GPP new radio interface/access (NR), long term evolution (LTE), LTE advanced (LTE-A), high speed packet access (HSPA), Wi-Fi 802.11a/b/g/n/ac, etc. For the sake of convenience, the terms “BS” and “TRP” are used interchangeably in this patent document to refer to network infrastructure components that provide wireless access to remote terminals. Also, depending on the network type, the term “user equipment” or “UE” can refer to any component such as “mobile station,” “subscriber station,” “remote terminal,” “wireless terminal,” “receive point,” 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 a BS, 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).
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 gNBs, such as the coverage areas 120 and 125, may have other shapes, including irregular shapes, depending upon the configuration of the gNBs and variations in the radio environment associated with natural and man-made obstructions.
As described in more detail below, one or more of the UEs 111-116 include circuitry, programing, or a combination thereof for UEs. In certain embodiments, and one or more of the gNBs 101-103 includes circuitry, programing, or a combination thereof for UEs.
Although
As shown in
The RF transceivers 210a-210n receive, from the antennas 205a-205n, incoming RF signals, such as signals transmitted by UEs in the network 100. The RF transceivers 210a-210n down-convert the incoming RF signals to generate IF or baseband signals. The IF or baseband signals are sent to the RX processing circuitry 220, which generates processed baseband signals by filtering, decoding, and/or digitizing the baseband or IF signals. The RX processing circuitry 220 transmits the processed baseband signals to the controller/processor 225 for further processing.
The TX processing circuitry 215 receives analog or digital data (such as voice data, web data, e-mail, or interactive video game data) from the controller/processor 225. The TX processing circuitry 215 encodes, multiplexes, and/or digitizes the outgoing baseband data to generate processed baseband or IF signals. The RF transceivers 210a-210n receive the outgoing processed baseband or IF signals from the TX processing circuitry 215 and up-converts the baseband or IF signals to RF signals that are transmitted via the antennas 205a-205n.
The controller/processor 225 can include one or more processors or other processing devices that control the overall operation of the gNB 102. For example, the controller/processor 225 could control the reception of forward channel signals and the transmission of reverse channel signals by the RF transceivers 210a-210n, the RX processing circuitry 220, and the TX processing circuitry 215 in accordance with well-known principles. The controller/processor 225 could support additional functions as well, such as more advanced wireless communication functions. For instance, the controller/processor 225 could support beam forming or directional routing operations in which outgoing/incoming signals from/to multiple antennas 205a-205n are weighted differently to effectively steer the outgoing signals in a desired direction. Any of a wide variety of other functions could be supported in the gNB 102 by the controller/processor 225.
The controller/processor 225 is also capable of executing programs and other processes resident in the memory 230, such as an OS. The controller/processor 225 can move data into or out of the memory 230 as required by an executing process.
The controller/processor 225 is also coupled to the backhaul or network interface 235. The backhaul or network interface 235 allows the gNB 102 to communicate with other devices or systems over a backhaul connection or over a network. The interface 235 could support communications over any suitable wired or wireless connection(s). For example, when the gNB 102 is implemented as part of a cellular communication system (such as one supporting 5G/NR, LTE, or LTE-A), the interface 235 could allow the gNB 102 to communicate with other gNBs over a wired or wireless backhaul connection. When the gNB 102 is implemented as an access point, the interface 235 could allow the gNB 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 235 includes any suitable structure supporting communications over a wired or wireless connection, such as an Ethernet or RF transceiver.
The memory 230 is coupled to the controller/processor 225. Part of the memory 230 could include a RAM, and another part of the memory 230 could include a flash memory or other ROM.
Although
As shown in
The RF transceiver 310 receives, from the antenna 305, an incoming RF signal transmitted by a gNB 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 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 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 processor 340 can include one or more processors or other processing devices and execute the OS 361 stored in the memory 360 in order to control the overall operation of the UE 116. For example, the 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 processor 340 includes at least one microprocessor or microcontroller.
The processor 340 is also capable of executing other processes and programs resident in the memory 360, such as processes for beam management. The processor 340 can move data into or out of the memory 360 as required by an executing process. In some embodiments, the processor 340 is configured to execute the applications 362 based on the OS 361 or in response to signals received from gNBs or an operator. The 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 processor 340.
The processor 340 is also coupled to the touchscreen 350 and the display 355. The operator of the UE 116 can use the touchscreen 350 to enter data into the UE 116. The display 355 may be a liquid crystal display, light emitting diode 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 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
To meet the demand for wireless data traffic having increased since deployment of 4G communication systems and to enable various vertical applications, efforts have been made to develop and deploy an improved 5G/NR or pre-5G/NR communication system. Therefore, the 5G/NR or pre-5G/NR communication system is also called a “beyond 4G network” or a “post LTE system.” The 5G/NR communication system is considered to be implemented in higher frequency (mmWave) bands, e.g., 28 GHz or 60 GHz bands, so as to accomplish higher data rates or in lower frequency bands, such as 6 GHz, to enable robust coverage and mobility support. Aspects of the present disclosure may also be applied to deployment of 5G communication system, 6G or even later release which may use terahertz (THz) bands. 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/NR communication systems.
In addition, in 5G/NR 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.
A communication system includes a downlink (DL) that refers to transmissions from a base station or one or more transmission points to UEs and an uplink (UL) that refers to transmissions from UEs to a base station or to one or more reception points.
A time unit for DL signaling or for UL signaling on a cell is referred to as a slot and can include one or more symbols. A symbol can also serve as an additional time unit. A frequency (or bandwidth (BW)) unit is referred to as a resource block (RB). One RB includes a number of sub-carriers (SCs). For example, a slot can have duration of 0.5 milliseconds or 1 millisecond, include 14 symbols and an RB can include 12 SCs with inter-SC spacing of 15 KHz or 30 KHz, and so on.
DL signals include data signals conveying information content, control signals conveying DL control information (DCI), and reference signals (RS) that are also known as pilot signals. A gNB transmits data information or DCI through respective physical DL shared channels (PDSCHs) or physical DL control channels (PDCCHs). A PDSCH or a PDCCH can be transmitted over a variable number of slot symbols including one slot symbol. For brevity, a DCI format scheduling a PDSCH reception by a UE is referred to as a DL DCI format and a DCI format scheduling a physical uplink shared channel (PUSCH) transmission from a UE is referred to as an UL DCI format.
A gNB transmits one or more of multiple types of RS including channel state information RS (CSI-RS) and demodulation RS (DMRS). A CSI-RS is primarily intended for UEs to perform measurements and provide channel state information (CSI) to a gNB. For channel measurement, non-zero power CSI-RS (NZP CSI-RS) resources are used. For interference measurement reports (IMRs), CSI interference measurement (CSI-IM) resources associated with a zero power CSI-RS (ZP CSI-RS) configuration are used. A CSI process consists of NZP CSI-RS and CSI-IM resources.
A UE can determine CSI-RS transmission parameters through DL control signaling or higher layer signaling, such as radio resource control (RRC) signaling, from a gNB. Transmission instances of a CSI-RS can be indicated by DL control signaling or be configured by higher layer signaling. A DMRS is transmitted only in the BW of a respective PDCCH or PDSCH and a UE can use the DMRS to demodulate data or control information.
The transmit path 400 as illustrated in
As illustrated in
The serial-to-parallel block 410 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 gNB 102 and the UE 116. The size N IFFT block 415 performs an IFFT operation on the N parallel symbol streams to generate time-domain output signals. The parallel-to-serial block 420 converts (such as multiplexes) the parallel time-domain output symbols from the size N IFFT block 415 in order to generate a serial time-domain signal. The add cyclic prefix block 425 inserts a cyclic prefix to the time-domain signal. The up-converter 430 modulates (such as up-converts) the output of the add cyclic prefix block 425 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 gNB 102 arrives at the UE 116 after passing through the wireless channel, and reverse operations to those at the gNB 102 are performed at the UE 116.
As illustrated in
Each of the gNBs 101-103 may implement a transmit path 400 as illustrated in
Each of the components in
Furthermore, although described as using FFT and IFFT, this is by way of illustration only and may 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, can be used. It may 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
For mmWave bands, although the number of antenna elements can be larger for a given form factor, the number of CSI-RS ports—which can correspond to the number of digitally precoded ports—tends to be limited due to hardware constraints (such as the feasibility to install a large number of analog-to-digital converts/digital-to-analog converts (ADCs/DACs) at mmWave frequencies) as illustrated by beamforming architecture 600 in
In this case, one CSI-RS port is mapped onto a large number of antenna elements which can be controlled by a bank of analog phase shifters 601. One CSI-RS port can then correspond to one sub-array which produces a narrow analog beam through analog beamforming 605. This analog beam can be configured to sweep across a wider range of angles 620 by varying the phase shifter bank across symbols or subframes or slots (wherein a subframe or a slot comprises a collection of symbols and/or can comprise a transmission time interval). The number of sub-arrays (equal to the number of RF chains) is the same as the number of CSI-RS ports NCSI-PORT. A digital beamforming unit 610 performs a linear combination across NCSI-PORT analog beams to further increase precoding gain. While analog beams are wideband (hence not frequency-selective), digital precoding can be varied across frequency sub-bands or resource blocks.
The channel state information is quickly out-of-date for a mMIMO BS which relies on sounding reference signal sent by a UE in a network. This greatly reduces the performance of mMIMO DL MU-MIMO transmission with mobile UEs.
The present disclosure discloses a new channel estimation and tracking method for mMIMO CSI acquisitions. The apparatus comprises a control unit that determines configuration and triggers operation for different parameter tracking modules, and a processor to update channel and parameter buffers, estimate channel parameters, and predict channel coefficients. The channel model comprises channel parameters that represent signal strength, signal delay and Doppler shift. A sequential parameter update scheme is disclosed, where signal strength, signal delay and Doppler shift are updated sequentially based on past and new channel measurements. Predicted channel coefficients comprise prediction from the estimated multipath model as well as adaptively filtered residual signal, which is the difference between the input CSI and reconstructed CSI from the multipath model. The provided embodiments have several benefits, such as reduced complexity, improved numerical stability and algorithmic flexibility.
The present disclosure provides new methods and apparatus for mMIMO CSI acquisitions. A mMIMO BS for CSI estimation comprises a transceiver configured to receive sounding reference signal (SRS) and DMRS from PUSCH from a UE, a control unit that determines configuration and triggers operation for different parameter tracking modules, and a processor to update channel and parameter buffers, estimate channel parameters, and predict channel coefficients. The overall architecture is illustrated in
As illustrated in
Channel parameter tracking unit 704 uses stored CSI and previous path parameters, triggers a series of parameter tracking modules based on control signals from 702, calculates new channel path parameters and residual channel response, and outputs updated information to 702. Channel coefficient prediction unit 706 uses residual channel response and updated path parameters, triggers adaptive scaling of residual signal, predicts the channel coefficient, and outputs predicted CSI to 702.
In time division duplexing (TDD) mMIMO systems, one method for a BS to obtain DL CSI is to utilize channel reciprocity. The predicted DL channel can be used by other functional blocks in the BS to improve system performance. For example, the predicted DL channel helps the scheduler to optimize resource allocation between different UEs, and to increase the accuracy of DL precoder and performance of DL MU-MIMO transmission by reducing the inter-user interference.
In one embodiment, CSI estimation and tracking control module takes uplink channel information, decides configurations of different parameter tracking modules, triggers the operations of different parameter tracking modules and update data buffers that hold channel and parameter estimates.
In one embodiment, the channel parameter tracking unit tracks the difference between input CSI and reconstructed CSI based on a parametric model. Channel coefficient prediction unit further filters the difference based on control signals and combines with prediction from a parametric model.
In one embodiment, the BS implements a filtering method to track channel path weights (e.g., Gamma) based on past CSI and path parameters, and outputs updated path weights needed in other parameter tracking modules and the channel coefficient prediction module.
One embodiment of the parametric channel model is a multipath channel model. The parameters are updated upon receiving, by a BS, new SRS measurements. One embodiment of the present disclosure adopts a multipath channel model, where the time-frequency channel response h(t, f) is modeled as a sum of contributions from several multipath components (MPC). The model assumes the channel is constructed on a sum of basis waveforms. P sinusoidal waveforms, indexed by p=1, 2, . . . , P, are used. Waveform p is parameterized by signal delays τp and signal Doppler shifts νp, which spans both the time and frequency domain. Then, the channel at time t and frequency f on antenna k is a linear combination of the P basis waveforms: hk(t, f)=Σp=1Pγk,pe−j2π(fτ
The parameter set in this embodiment is antenna-dependent path weight {γk,p}, path delay {τp}, and path Doppler {νp}. Both path delay and path Doppler are considered common across different antennas.
One embodiment considers a vectorized signal model for SRS measurement, which denotes as s(τ, ν, γ). If the vectorization of H performs first along the frequency domain and secondly along the time domain, s(τ, ν, γ) is expressed by: s(τ, ν, γ)=vec{H}=B(τ, ν)·γ=Btf(τ, ν)⋄Bf(τ)·γ, where parameter vectors τ, ν∈RP, and path weights γ∈CP.
Also, operator ⋄ represents Khatri-Rao product, which is a column-wise Kronecker product. An example of the Khatri-Rao product between two 2×2 matrices is given by:
is a matrix-valued function,
and represents the difference among sub-bands due to path delay, and p-th column can be expressed by:
denotes the frequency spacing of RB. In the case of fullband SRS sounding, Nrb is replaced by
which is 96 for 20 MHz bandwidth and 48 for 10 MHz bandwidth in LTE. In the case of subband hopping SRS, Nrb is 24 for a quarter band of 20 MHz total bandwidth and 12 for a quarter band of 10 MHz total bandwidth. Similarly, Btf(τ, ν) is also a matrix-valued function.
In one embodiment where SRS is updated on a fraction of the total bandwidth every Δt seconds, Btf( ) represents the inter-band SRS response over time, which depends on both delay τ and Doppler ν in the hopping SRS case, and only Doppler ν in the full-band SRS case.
For the hopping SRS, the input and output mapping of
and p-th column can be expressed by:
where n is the time index sequence of SRS in the processing buffer. For example, if the latest SRS is treated as the reference, n=[−nsrs+1, −nsrs+2, . . . , 0]T. m is the corresponding starting frequency index of each hopping subband SRS.
For the full-band SRS, the input and output mapping of
and p-th column can be expressed by:
To extend the vectorized signal model for multiple BS antennas. It may be assumed that path delays and Dopplers are common across Nant antennas. Therefore, the following channel model is considered: s(τ, ν, Γ)=Γ⋄Btf(τ, ν)⋄Bf(τ)·1, where Γ is a path weight matrix with dimension Nant×P, and each row of Γ contains path weights for one antenna. 1 stands for an all-one column vector with dimension P×1. Similarly, Btf(τ,ν) is replaced by Btf(ν) for the fullband SRS. The received SRS is corrupted with additive white complex Gaussian noise, which models the uplink thermal noise and interference.
ysrs=s(τ, ν, Γ)+n0, here n0 is the noise vector and follows a zero-mean complex Gaussian distribution with a covariance matrix Rn. In current algorithm development, Rn is configured to be a diagonal matrix
The parameter σn2 depends on uplink noise and interference power level, which is assumed to be fed by external modules. In further optimization, Rn can be computed dynamically based on the residual power level at the n-th time instant.
As illustrated in
One embodiment of channel parameter tracking unit 704 is in
As illustrated in
where nk,m,n is noise. The expression for the residual signal at time n is given by:
As illustrated in
Denote γk(n)=[γk,1 . . . γk,P]T the path weights at SRS capture instance n for antenna k. It may be assumed that the below Gauss-Markov model for path weight evaluation is given by: γk(n)=Aγ·γk(n−1)+Bγ·u(n), where Aγ and Bγ are fixed matrices of dimension P×P and are common to all antennas. It may be assumed that the state noise u(n) is independent from SRS capture to capture and is uncorrelated among paths, e.g., u(n)˜N(0, σu2I). Note that in practice, u(n) can be correlated in both time and path, since u(n) is a combined effect of dense multipath components (DMC) that are not captured in the tracked paths.
The state transition matrix is Aγ=σA2Dn-1(1), where Dj(i) is a diagonal matrix representing the theoretical phase progression due to Doppler effect, based on Doppler estimation at time j, between two SRS captures with time gap i:
That is:
In the above, it may be assumed that during the duration of Δt the path Doppler remains constant and is approximated by estimate νp,n-1. For example, for Δt=20 ms, path Doppler may change about 1 Hz, that is only about 7 degrees difference.
The scaling factor σA2 can be tuned based on real measurement, and currently σA2=0.999 is chosen to reflect the fact that the path weight gain remains roughly the same between two adjacent SRS captures.
Measurement equation for γk(n) is linear given known path delay and Doppler. The channel response at frequency f and latest SRS capture instance n is:
is the frequency of the received Nrb RBs of SRS at time n. nk,f is the noise.
Write in matrix format: hk(n)=Bn(τ)·γk(n)+nk,n, where nk,n=[nk,1,n . . . nk,N
The meaning of Bn(τ) is frequency response basis matrix at time n, and only depends on the path delays τ=[τ1, . . . , τp]T and the starting RB frequency f1(n). In reality, the path delays can only be known from the previous estimates. To make this explicit dependency, denote Bn(τi) the frequency response basis matrix using the path delay estimates τi obtained at time i. Therefore, the following equation are given by:
In path weight update, it may be observed that including a few past SRS signal is necessary according to extensive evaluation using field captures, especially for sub-band SRS. One reason may be that only using the latest SRS signal may not provide sufficient measurements to stably update γk(n). Consider Nγ SRSs being used, i.e., SRS captured at n, n−1, . . . , n−Nγ+1. Certain assumption has to be made to relate current γk(n) to the past SRS signals. For n−i, the signal model for SRS n−i is: hk(n−i)=Bn-i(τn-1)·Dn-1(−i)·γk(n)+nk,n-i.
Note that in the above equation, the complex path weight is always referenced to the current SRS capture instance n, and the past path weights at n−i, i=1 . . . Nγ−1, are assumed to have only phase evolution according to Doppler effect but the amplitude remains the same. Also, the path delay for all SRS captures is assumed to be identical to the latest estimate at n−1 (for SRS at n the path delay is not used for updating delay and Doppler at this point of time).
The overall measurement equation with Nγ SRS can be written in a matrix format:
is the measurement noise. In reality, the measurement noise includes both additive white Gaussian noise (AWGN) noise and the residual un-captured DMC power, which in general is correlated in both time and frequency:
Denote {circumflex over (γ)}k(n)=[γk,1 . . . γk,P]T the estimated path weight for antenna k with using SRS n. The difference between {circumflex over (γ)}k(n) and γk(n) is that the former is the estimated value and the latter is true value. Since only estimated value is available, for simplicity γk(n) is used to represent the estimated value in the sequel.
Assume initial path parameter acquisition is completed at n=0. Now a KF based method is described for γk(n), n≥1. As illustrated in
In step 902, state vector prediction is performed: γk(n|n−1)=Aγ·γk(n−1). Note that Aγ is common to all antennas.
In step 904, the covariance of prediction error is computed in γk(n|n−1): Mγ(n|n−1)=AγMγ(n−1)AγH+σu2I. Note that Mγ(n|n−1) is common to all antennas.
In step 906, Kalman is calculated gain: Kγ(n)=Mγ(n|n−1)·BN
The above formula is not suitable for computation due to large matrix inversion size. Use Matrix inversion lemma and some approximation to simplify a calculation.
Assume the measurement noise is uncorrelated: Cw(n)=σw2I, the above equation may be simplified as: Kγ(n)=(Mγ−1(n|n−1)σw2+BN
In step 908, state vector correction is performed: γk(n)=γk(n|n−1)+Kγ(n)(hk,N
In step 910, the covariance of estimation error is computed in γk(n): Mγ(n)=(I−Kγ(n)BN
Parameter choices are provided as shown following.
In one example, for n=1, initial path weights γk(0) and measurement matrix BN
In one example, for n≥1, BN
In one example, τw2 can include both additive noise and interference as well as the DMCs not captured by the tracked paths. Based on experiment, τw2 can be relative value to the tracked path power and can be further optimized based on actual tuning.
In one example, σu2 can be relative value to the tracked path power and can be configured based on actual tuning.
Another embodiment is to use least square (LS) based method. A switch to LS based method from KF based method can be easily configured. The procedures to configure KF based tracking to LS are provided here. In this embodiment, step 902 is skipped. In step 904, the covariance of prediction error in γk(n|n−1) is set as a zero matrix. In step 906, Kalman gain is calculated. In this case, the LS normal equation is calculated (with a regularization factor): Kγ(n)=(σw2I+BN
For delay tracking (e.g., operation 804), one embodiment uses adaptive filtering methods, such as extended Kalman filter (EKF). The aforementioned embodiment first predicts state and error covariance matrix based on state transition model and past state information, secondly calculates the correction of state variables based on the predicted state variables and new data and generates the final estimated variables. Path delay are common across different antennas and P tracked delays are updated concurrently. Other path parameters such as path weights and path Doppler are fixed while updating path delay.
The new information along with the prior knowledge about the channel parameters such as path delay, path Doppler and path weights are combined to update path delay. One embodiment of delay update is an EKF-based estimation framework. A dynamic state space model is assumed for path delay, where it may be assumed that the dynamic state space model follows a random walk process and is perturbed by independent and identical distributed (i.i.d.) random Gaussian noise wτ,n at each time instant: τn=τn-1+wτ,n.
The observation equation uses the following the signal model.
ysrs=s(τ,ν,Γ)+n0.
If path Doppler ν and path weights T are fixed, there is a nonlinear mapping from path delay τ to the observation vector. A traditional KF may not work with a nonlinear observation equation, and one has to rely on EKF to linearize the observation equation around the predicted values of the state vector. The path weight matrix Γ can be constructed by stacking path weight vector γkT for k-th antenna in the row direction, which has a dimension of
In the delay tracking/update function block (e.g., operation 804), the state vector consists of path delays τ from P paths. At n-th time instant, the inputs to this function block are previous path delays τn-1, prior error covariance matrix Pτ,n-1, updated path weights Γn and previous path Doppler νn-1. The outputs of this function block are updated path delays τn and error covariance matrix Pτ,n.
The main steps of path delay tracking follow
In step 1002, predicted path delay and error covariance matrix are generated.
is the state transition matrix with dimension P×P. In one embodiment, Φτ is an identity matrix and can be configurable in other embodiments. Qτ is the state noise covariance matrix for path delay with dimension P×P, and computed by Qτ=ατΔtIP. ατ represents the state noise of path delay and is assumed to be the same among P paths. The parameter qτ is set to 1e-2 in one embodiment, while the parameter qτ is configurable in other embodiments.
In step 1004, corrected path delay and error covariance matrix are generated:
is the score-function with dimension P×1, and can be computed by
is Fisher information matrix (FIM) with dimension P×P, which can be computed by Jτ=2Re{DτHRn−1Dτ}. Rn is the residual error covariance matrix of the measurement process, which is common among path delay tracking and Doppler tracking. Rn is set to σw2I by default. Dτ denotes the Jacobian matrix and is computed as
The partial derivatives are defined as:
and
Because the dimension of the state vector P is much smaller than the dimension of the observation vector Ntot. The alternative form of EKF is considered here, which is also known as the information form.
In some embodiments, there may require some preprocessing for τn-1 if SRS measurements are contaminated by timing offset correction initiated by UE. The delay state vector in the previous iteration, τn-1, was updated using the SRS channel estimate buffer. The state vector may also be updated by the amount of TO correction using: τn-1←τn-1+lTOTs·2πδf·1, where 1 is a column vector with all elements being 1 and with the same dimension of τn-1, lTOTs is the amount of TO correction in time unit and 2πδf is the normalization factor. Ts is the basic time unit.
For Doppler tracking (e.g., 806), one embodiment uses adaptive filtering methods, such as EKF. The aforementioned embodiment first predicts state and error covariance matrix based on state transition model and past state information, secondly calculates the correction of state variables based on the predicted state variables and new data and generates the final estimated variables. Path Doppler are common across different antennas and P tracked Dopplers are updated concurrently. Other path parameters such as path weights and path delay are fixed while updating path Doppler.
The path Doppler tracking is preceded by the path delay tracking. The input to this function block are previous path Doppler shifts νn-1, prior error covariance matrix Pν,n-1, updated path weights Γn and path Delays τn. The output of this function block are updated path Doppler shifts νn and error covariance matrix Pν,n.
The main steps of path Doppler tracking follow
qν(ysrs,n; νn|n-1) is the score-function with dimension P×1, and can be computed by
is the Fisher information matrix with dimension P×P, which can be computed by
denotes the Jacobian matrix and is computed as
The partial derivative is defined as:
In one embodiment, channel coefficient prediction module 706 in
For a particular time transmission interval (TTI), the predicted channel is defined by ĥ∈N
It generates ĥpath based on the parametric channel model and updated path parameters(Γ,τ,ν). ĥpath=Γ⋄{tilde over (B)}(τ,ν, nTTI)·1, where {tilde over (B)}(τ,ν, nTTI) is a modified basis matrix defined by:
where [{tilde over (B)}(τ, ν, nTTI)] denotes the p-th column of {tilde over (B)}(τ, ν, nTTI), x is a RB index vector that ranges the entire (or interested) RB, tTTI is the time duration of TTI in seconds, and nTTI is a targeting TTI index that is relative to the TTI in which the most recent SRS has been received.
It then calculates ĥres by scaling the difference between the reconstructed channel at the last SRS snapshot, ĥk,m,n and the last SRS snapshot yk,m,n=(hk,m,n+nk,m,n), where nk,m,n is noise. The expression for the residual signal at time n is given by: yk,m,nres=yk,m,n−ĥk,m,n. The total residue power, totPwr, is computed as: totPwr=ΣkΣmyk,m,nres*yk,m,nres.
The noise power, noisePwr, is approximated as: noisePwr=(ΣkΣmyk,m,n*yk,m,n). 10−SRS SINR_dB/10.
The scaling factor, scale, is computed as: scale=max (totPwr−noisePwr/totPwr,0). The scaled residue signal. (yk,m,nres)′, is computed as: (yk,m,nres)′=scale·yk,m,nres.
The parameter update framework has shown a better numerical stability over the other joint parameter update in simulations. The following figure shows the comparison of matrix condition numbers between two parameter update frameworks. The right subfigure uses the framework outlined in 704, which shows a much smaller condition number and better numerical stability compared to the joint parameter update in the left subfigure.
As illustrated in
Subsequently, the BS in step 1204 stores the received information.
Next, the BS in step 1206 performs, based on the received information, channel parameter tracking operations to generate channel parameters, wherein the channel parameter tracking operations are configured with different configuration parameters.
Finally, the BS in step 1208 performs, based on the channel parameters, a channel coefficient prediction operation to generate channel state information (CSI).
In on embodiment, the BS stores the channel parameters and the CSI in at least one buffer, wherein the CSI is predicted CSI based on the received information of uplink transmission and the channel parameters are updated channel parameters based on the received information of uplink transmission and identifies, based on the received information of the uplink transmissions, the different configuration parameters for the channel parameter tracking operations, the uplink transmissions comprising sounding reference signals (SRSs), a physical uplink channel (PUCCH), or a physical uplink shared channel (PUSCH).
In such embodiment, the different configuration parameters are identified to selectively track and update the channel parameters based on the received information of the uplink transmissions, the different configuration parameters being adjusted for the channel parameter tracking operations.
In one embodiment, the BS, in response to generating the channel parameters and the CSI, updates the at least one buffer with the channel parameters and the CSI, wherein the at least one buffer includes previously stored channel parameters and CSI.
In one embodiment, the BS generates, based on the received information of the uplink transmissions, control information including different configuration parameters for the channel parameter tracking operations and tracks, by the channel parameter tracking operations, differences between the CSI and currently received CSI based on a parametric model including a multipath channel model.
In one embodiment, the BS sequentially triggers the channel parameter tracking operations based on the control information, wherein the channel parameter tracking operations is sequentially ordered in a gamma tracking operation including an adaptive filter, a delay tracking operation, a Doppler tracking operation, and a residual signal tracking operation and calculates the channel parameters and a residual channel response to generate the channel parameters.
In one embodiment, the BS identifies, using the channel parameters and the CSI, a scaling factor based on the residual channel response determined from the residual signal tracking operation and performs, based on the scaling factor, the channel coefficient prediction operation to generate the CSI.
In one embodiment, the BS performs filtering and scaling, using the scaling factor on differences between the CSI and the currently received CSI based on the control information, combines the differences between the CSI and the currently received CSI with the channel parameters and a parametric channel model, and identifies, based on the combined differences, channel path weights that are used for the channel coefficient prediction operation and the channel parameter tracking operations.
The above flowcharts illustrate example methods that can be implemented in accordance with the principles of the present disclosure and various changes could be made to the methods illustrated in the flowcharts herein. For example, while shown as a series of steps, various steps in each figure could overlap, occur in parallel, occur in a different order, or occur multiple times. In another example, steps may be omitted or replaced by other steps.
Although the present disclosure has been described with exemplary embodiments, 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. None of the description in this application should be read as implying that any particular element, step, or function is an essential element that must be included in the claims scope. The scope of patented subject matter is defined by the claims.
The present application claims priority to U.S. Provisional Patent Application No. 62/959,324, filed on Jan. 10, 2020 and U.S. Provisional Patent Application No. 63/060,956, filed on Aug. 4, 2020. The content of the above-identified patent document is incorporated herein by reference.
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