The non-limiting example embodiments of the present disclosure generally relate to a technical field of wireless communication and specifically to methods, apparatuses, and computer products for antenna calibration.
Antenna phase alignment has a great effect on system performance.
Beamforming with correlated antennas requires that the phase difference between individual antenna elements is small. Any antenna error that affects phase relations could prevent systems from realizing full beamforming potential. Ideally, to achieve beamforming gain, the antennas 104 shown in
For each pair of correlated co-polarized antenna pairs of
The phase difference between antennas in each co-polarized antenna pair can be expressed approximately as:
∅A=φ1−φ0
and
∅B=φ3−φ2.
If the antennas are calibrated, i.e., φk=0 for all k=0,1,2,3, then ∅A=∅B=0 and the beams from two polarizations are aligned and point to bore sight, as illustrated by the solid line in
If the antennas are not calibrated, i.e., φk≠0 for all k=0,1,2,3, but the phase differences of two polarizations are the same, i.e., ∅A=∅B≠0, the beams from two polarizations are still aligned while beam direction is deviated from bore sight. For example, when ∅A=∅B≠135, the beams of the two polarizations can be illustrated by the dashed line in
However, when the phase difference from two beams is not equal, i.e., ∅A≠∅B the two beams will point to different directions. The example shown in
φk=φk0+2πfΔtk.
There are two components in φk: one is a fixed frequency independent phase φk0, another is a frequency dependent phase caused by timing delay Δtk.
The above-mentioned text takes 4 Tx (transmit) antennas as the example. However, the example can be extended to other antenna configurations, such as 8 Tx and 16 Tx.
In
Assuming the number of transmitted antennas is M and the transmission frequency band is divided into K subbands of frequency span Δf, where each subband is numbered k where k∈{1, . . . , K} and k=1 represents the frequency band of lowest frequency, then the signal yk received at a receiving radio device, including the signals from the M transmitting antennas, can be assumed to follow the following expression for a given subband k:
y
k
=H
k
C
k
w
k
x
k
+e
k (1)
where the transmission channel matrix Hk is a representation of the transmission channel, ek represents interference and noise experienced on the transmission channel, xk is the signal transmitted from the transmitting radio device, and Ck is a diagonal matrix capturing the delays and phase of the M different transmitting antennas, such that
C
k=diag{e−j(2πΔfkτ
where τm is the time delay associated with the mth transmitting antenna and θm is the phase associated with the mth transmit antenna. The value of the time delay τm of the mth transmission equipment and the phase can be assumed to be the same in all k frequency subbands, and wk is the precoding matrix.
In NR, for subband PMI feedback, for example, UE decides the preferred matrix wk based on the following:
w
k=argmaxw(wHCkHHkHHkCkw)
Subject to ∥w∥2=1 (3)
Based on simple mathematical manipulation, the optimal w can be
wk=CkHuk (4)
where uk is the eigenvector of Rk, wherein E(HkHHk)=Rk. When a polarization antenna is used, one can assume Rk is the same for different k and the correlation matrix is the same for different polarization antennas and is set as R, also known as R=Rk for any k. Thus, the wk can be simplified into the following:
wk=CkHu (5)
where u is the eigenvector of R. When wk is obtained, CkH can be obtained, thus the delay and phase error can be estimated based on the relationship between CkH, phase and, delay given in Equation (2).
As shown in step 300 of
Embodiments of the present disclosure provide methods, apparatuses, and computer products for a base station. A method includes retrieving (1100) a plurality of phase rotations associated with a codebook for precoding matrix indicator, PMI, feedback; transmitting (1102), to a User Equipment, UE, (412), a plurality of Channel State Information Reference Signals, CSI-RSs, on a plurality of beams that correspond to the plurality of phase rotations; receiving (1106), from the UE (412), a plurality of PMIs associated with the plurality of CSI-RSs, respectively, wherein the plurality of PMIs are indicative of a plurality of quantized precoding matrices from the codebook; using (1108) the plurality of quantized precoding matrices and the plurality of phase rotations to estimate phase and/or delay errors for a plurality of transmit antenna branches of the base station (402).
Generally, the present disclosure relates to a optimizing scheme to generate the rotations applied on the CSI-RS to enable precoding matrix indicator (PMI)-based antenna calibration. One embodiment uses a detailed iterative scheme. Simulation results show that using the rotation on a CSI-RS, PMI-based antenna calibration according to the present disclosure can achieve good performance.
The accompanying drawing figures incorporated in and forming a part of this specification illustrate several aspects of the disclosure, and together with the description serve to explain the principles of the disclosure.
The embodiments set forth below represent information to enable those skilled in the art to practice the embodiments and illustrate the best mode of practicing the embodiments. Upon reading the following description in light of the accompanying drawing figures, those skilled in the art will understand the concepts of the disclosure and will recognize applications of these concepts not particularly addressed herein. It should be understood that these concepts and applications fall within the scope of the disclosure.
Radio Node: As used herein, a “radio node” is either a radio access node or a wireless communication device.
Radio Access Node: As used herein, a “radio access node” or “radio network node” or “radio access network node” is any node in a Radio Access Network (RAN) of a cellular communications network that operates to wirelessly transmit and/or receive signals. Some examples of a radio access node include, but are not limited to, a base station (e.g., a New Radio (NR) base station (gNB) in a Third Generation Partnership Project (3GPP) Fifth Generation (5G) NR network or an enhanced or evolved Node B (eNB) in a 3GPP Long Term Evolution (LTE) network), a high-power or macro base station, a low-power base station (e.g., a micro base station, a pico base station, a home eNB, or the like), a relay node, a network node that implements part of the functionality of a base station or a network node that implements a gNB Distributed Unit (gNB-DU)) or a network node that implements part of the functionality of some other type of radio access node.
Core Network Node: As used herein, a “core network node” is any type of node in a core network or any node that implements a core network function. Some examples of a core network node include, e.g., a Mobility Management Entity (MME), a Packet Data Network Gateway (P-GW), a Service Capability Exposure Function (SCEF), a Home Subscriber Server (HSS), or the like. Some other examples of a core network node include a node implementing a Access and Mobility Function (AMF), a User Plane Function (UPF), a Session Management Function (SMF), an Authentication Server Function (AUSF), a Network Slice Selection Function (NSSF), a Network Exposure Function (NEF), a Network Function (NF) Repository Function (NRF), a Policy Control Function (PCF), a Unified Data Management (UDM), or the like.
Communication Device: As used herein, a “communication device” is any type of device that has access to an access network. Some examples of a communication device include, but are not limited to: mobile phone, smart phone, sensor device, meter, vehicle, household appliance, medical appliance, media player, camera, or any type of consumer electronic, for instance, but not limited to, a television, radio, lighting arrangement, tablet computer, laptop, or Personal Computer (PC). The communication device may be a portable, hand-held, computer-comprised, or vehicle-mounted mobile device, enabled to communicate voice and/or data via a wireless or wireline connection.
Wireless Communication Device: One type of communication device is a wireless communication device, which may be any type of wireless device that has access to (i.e., is served by) a wireless network (e.g., a cellular network). Some examples of a wireless communication device include, but are not limited to: a User Equipment device (UE) in a 3GPP network, a Machine Type Communication (MTC) device, and an Internet of Things (IoT) device. Such wireless communication devices may be, or may be integrated into, a mobile phone, smart phone, sensor device, meter, vehicle, household appliance, medical appliance, media player, camera, or any type of consumer electronic, for instance, but not limited to, a television, radio, lighting arrangement, tablet computer, laptop, or PC. The wireless communication device may be a portable, hand-held, computer-comprised, or vehicle-mounted mobile device, enabled to communicate voice and/or data via a wireless connection.
Network Node: As used herein, a “network node” is any node that is either part of the RAN or the core network of a cellular communications network/system.
Note that the description given herein focuses on a 3GPP cellular communications system and, as such, 3GPP terminology or terminology similar to 3GPP terminology is oftentimes used. However, the concepts disclosed herein are not limited to a 3GPP system.
Note that, in the description herein, reference may be made to the term “cell”; however, particularly with respect to 5G NR concepts, beams may be used instead of cells and, as such, it is important to note that the concepts described herein are equally applicable to both cells and beams.
The base stations 402 and the low power nodes 406 provide service to wireless communication devices 412-1 through 412-5 in the corresponding cells 404 and 408. The wireless communication devices 412-1 through 412-5 are generally referred to herein collectively as wireless communication devices 412 and individually as wireless communication device 412. In the following description, the wireless communication devices 412 are oftentimes UEs, but the present disclosure is not limited thereto.
Based on Equation (5), if wk can be obtained ideally, CkH can be obtained and furthermore the delay and the phase error can be obtained. Thus, the antenna can be calibrated. However, in a practical system, such as New Radio (NR) or Long Term Evolution (LTE), the wk is quantized into codebook. For simplification, the quantized wk is defined as {tilde over (w)}k. Thus, based on quantized feedback {tilde over (w)}k, New Radio base station (gNB) cannot achieve accurate delay and phase estimation. One way to increase quantized accuracy is by rotating the channel state information reference signals (CSI-RSs) with different beamforming, as shown in step 300 in
y
k
=H
k
C
k
Ωv
i
x
k
+e
k (6)
Thus, based on Equations (1) and (6), {tilde over (w)}k=Ωvi.
The CSI-RS phase rotating effect on vi is shown in
As shown in
Assuming that the initial codebook is (0), the codebook set is transformed into Ω(0)
(0), Ω(1)
(0), . . . , Ω(N−1)
(0) after applying rotation Ω(0), . . . , Ω(N−1) on the CSI-RS, and intuitively, one of the best solutions to Ω(0), . . . , Ω(N−1) is to let the concatenated codebook {Ω(0)
(0), Ω(1)
(0), . . . , Ω(N−1)
(0)} uniformly distribute in the spatial space as shown in
k having first elements. The method further comprises generating (902) a second codebook set Θ(k)
k having second elements by applying the rotation matrix Θ(k) to the first codebook set
k, wherein a minimum distance between the first elements and the second elements is maximized. In some embodiments, the method further includes generating (904) a third codebook set
k+1 having third elements by concatenating the first elements with the second elements. This is followed by generating (906) a second rotation matrix Θ(k+1) based on the third codebook set
k+1 having third elements, and generating (908) a fourth codebook set Θ(k+1)
k+1 having fourth elements by applying the second rotation matrix Θ(k+1) to the third codebook set
k+1. A minimum distance between the third elements and the fourth elements is maximized. Yet another step involves deriving (910) rotation matrices Ω based on the first rotation matrix Θ(k) and the second rotation matrix.
Detailed sub-steps for the basic procedure of
Step 1: Find Θ(k) where Θ(k) is given by the following:
Θ(k)=arg(maxΘk, ∈w(1)∈Θ(k)
k
d(w(0), w(1))=∥w(0)(w(0))H−w(1)(w(1))H∥2
d(w(0), w(1))=arccos|det((w(0))Hw(1))|
Step 2: Update k+1, Ωk+1.
Step 2.2: Ωk+1=[Ωk, Θ(k)Ωk], wherein [Ωk, Θ(k)Ωk] is concatenating the matrix Ωk and Θ(k)Ωk together to form a new matrix and set to Ωk+1.
Step 3: k=k+1
As a result, Ω=ΩK=[Ω(0), Ω(1), . . . , Ω(N−1)]. More specifically, the rotation Ω(n) on CSI-RS can be given as follows:
Ω(0)=I
Ω(1)=Θ(0)I
Ω(2)=Θ(1)I
Ω(3)=Θ(1)Θ(0)I
Ω(4)=Θ(2)I
Ω(5)=Θ(2)Θ(0)I
Ω(6)=Θ(2)Θ(1)I
Ω(7)=Θ(2)Θ(1)Θ(0)I
In another embodiment, to simplify the search of Ω(n) (n=0, . . . , N−1) and to guarantee the constant amplitude from different antennas, Θ(k) (k=0, . . . , K−1) can be constructed as
Θ(n)=diag(1, ejϕ
where diag (X) is a diagonal matrix and X is put on the main diagonal.
For a NR 4-port codebook, one example for the Θ(k) (k=0, . . . , K−1) can be given by the following:)
Θ(0)=diag(1 0.3827−0.9239i 0.7071−0.7071i 0.3827+0.9239i)
Θ(1)=diag(1 0.9723−0.2339i 0.5221−0.8529i 0.7071+0.7071i)
Θ(2)=diag(1 0.7071−0.7071i 0.2938−0.9559i 0.4681+0.8837i)
η(3)=diag(1 0.6802+0.7330i −0.3479−0.9375i 0.9239−0.3827i)
Θ(4)=diag(1 0.4153−0.9097i 0.4008−0.9162i 0.6670+0.7451i)
Θ(5)=diag(1 0.6453−0.7639i 0.6930−0.7209i 0.4149+0.9099i)
And Ω can be given by the following:
Ω={Ω(0), Ω(1), . . . , Ω(63)}={I, Θ(0), Θ(1), Θ(1), Θ(0), . . . , Θ(0)Θ(1)Θ(2)Θ(3)Θ(4)Θ(5)}.
As used herein, a “virtualized” radio access node is an implementation of the radio access node 1200 in which at least a portion of the functionality of the radio access node 1200 is implemented as a virtual component(s) (e.g., via a virtual machine(s) executing on a physical processing node(s) in a network(s)). As illustrated, in this example, the radio access node 1200 may include the control system 1202 and/or the one or more radio units 1210, as described above. The control system 1202 may be connected to the radio unit(s) 1210 via, for example, an optical cable or the like. The radio access node 1200 includes one or more processing nodes 1300 coupled to or included as part of a network(s) 1302. If present, the control system 1202 or the radio unit(s) are connected to the processing node(s) 1300 via the network 1302. Each processing node 1300 includes one or more processors 1304 (e.g., CPUs, ASICs, FPGAs, and/or the like), memory 1306, and a network interface 1308.
In this example, functions 1310 of the radio access node 1200 described herein are implemented at the one or more processing nodes 1300 or distributed across the one or more processing nodes 1300 and the control system 1202 and/or the radio unit(s) 1210 in any desired manner. In some particular embodiments, some or all of the functions 1310 of the radio access node 1200 described herein are implemented as virtual components executed by one or more virtual machines implemented in a virtual environment(s) hosted by the processing node(s) 1300. As will be appreciated by one of ordinary skill in the art, additional signaling or communication between the processing node(s) 1300 and the control system 1202 is used in order to carry out at least some of the desired functions 1310. Notably, in some embodiments, the control system 1202 may not be included, in which case the radio unit(s) 1210 communicate directly with the processing node(s) 1300 via an appropriate network interface(s).
In some embodiments, a computer program including instructions which, when executed by at least one processor, causes the at least one processor to carry out the functionality of radio access node 1200 or a node (e.g., a processing node 1300) implementing one or more of the functions 1310 of the radio access node 1200 in a virtual environment according to any of the embodiments described herein is provided. In some embodiments, a carrier comprising the aforementioned computer program product is provided. The carrier is one of an electronic signal, an optical signal, a radio signal, or a computer readable storage medium (e.g., a non-transitory computer readable medium such as memory).
In some embodiments, a computer program including instructions which, when executed by at least one processor, causes the at least one processor to carry out the functionality of the wireless communication device 1500 according to any of the embodiments described herein is provided. In some embodiments, a carrier comprising the aforementioned computer program product is provided. The carrier is one of an electronic signal, an optical signal, a radio signal, or a computer readable storage medium (e.g., a non-transitory computer readable medium such as memory).
Any appropriate steps, methods, features, functions, or benefits disclosed herein may be performed through one or more functional units or modules of one or more virtual apparatuses. Each virtual apparatus may comprise a number of these functional units. These functional units may be implemented via processing circuitry, which may include one or more microprocessors or microcontrollers, as well as other digital hardware, which may include Digital Signal Processors (DSPs), special-purpose digital logic, and the like. The processing circuitry may be configured to execute program code stored in memory, which may include one or several types of memory such as Read Only Memory (ROM), Random Access Memory (RAM), cache memory, flash memory devices, optical storage devices, etc. Program code stored in memory includes program instructions for executing one or more telecommunications and/or data communications protocols as well as instructions for carrying out one or more of the techniques described herein. In some implementations, the processing circuitry may be used to cause the respective functional unit to perform corresponding functions according one or more embodiments of the present disclosure.
While processes in the figures may show a particular order of operations performed by certain embodiments of the present disclosure, it should be understood that such order is exemplary (e.g., alternative embodiments may perform the operations in a different order, combine certain operations, overlap certain operations, etc.).
At least some of the following abbreviations may be used in this disclosure. If there is an inconsistency between abbreviations, preference should be given to how it is used above. If listed multiple times below, the first listing should be preferred over any subsequent listing(s).
Those skilled in the art will recognize improvements and modifications to the embodiments of the present disclosure. All such improvements and modifications are considered within the scope of the concepts disclosed herein.
Filing Document | Filing Date | Country | Kind |
---|---|---|---|
PCT/IB2020/057911 | 8/24/2020 | WO |