EP2452445A2 - Formation de faisceau à l'aide de livres de codes de base et différentiel - Google Patents

Formation de faisceau à l'aide de livres de codes de base et différentiel

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Publication number
EP2452445A2
EP2452445A2 EP10797665A EP10797665A EP2452445A2 EP 2452445 A2 EP2452445 A2 EP 2452445A2 EP 10797665 A EP10797665 A EP 10797665A EP 10797665 A EP10797665 A EP 10797665A EP 2452445 A2 EP2452445 A2 EP 2452445A2
Authority
EP
European Patent Office
Prior art keywords
matrix
beamforming
quantized
difference
beamforming matrix
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Withdrawn
Application number
EP10797665A
Other languages
German (de)
English (en)
Other versions
EP2452445A4 (fr
Inventor
Yuan Zhu
Qinghua Li
Xintian E. Lin
Huaning Niu
Alexei Davydov
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Intel Corp
Original Assignee
Intel Corp
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Filing date
Publication date
Priority claimed from US12/639,640 external-priority patent/US8315204B2/en
Application filed by Intel Corp filed Critical Intel Corp
Priority to EP16191444.5A priority Critical patent/EP3145142B1/fr
Publication of EP2452445A2 publication Critical patent/EP2452445A2/fr
Publication of EP2452445A4 publication Critical patent/EP2452445A4/fr
Withdrawn legal-status Critical Current

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Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0621—Feedback content
    • H04B7/0634—Antenna weights or vector/matrix coefficients
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0636—Feedback format
    • H04B7/0639—Using selective indices, e.g. of a codebook, e.g. pre-distortion matrix index [PMI] or for beam selection
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
    • H04B7/0842—Weighted combining
    • H04B7/086—Weighted combining using weights depending on external parameters, e.g. direction of arrival [DOA], predetermined weights or beamforming
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L12/00—Data switching networks
    • H04L12/66—Arrangements for connecting between networks having differing types of switching systems, e.g. gateways
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202—Channel estimation
    • H04L25/021—Estimation of channel covariance
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202—Channel estimation
    • H04L25/024—Channel estimation channel estimation algorithms
    • H04L25/0242—Channel estimation channel estimation algorithms using matrix methods
    • H04L25/0248—Eigen-space methods
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03343—Arrangements at the transmitter end
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03891—Spatial equalizers
    • H04L25/03898—Spatial equalizers codebook-based design
    • H04L25/03936—Spatial equalizers codebook-based design multi-resolution codebooks
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W16/00—Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/24—Cell structures
    • H04W16/28—Cell structures using beam steering
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W48/00—Access restriction; Network selection; Access point selection
    • H04W48/16—Discovering, processing access restriction or access information
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/06—TPC algorithms
    • H04W52/10—Open loop power control
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/06—TPC algorithms
    • H04W52/14—Separate analysis of uplink or downlink
    • H04W52/146—Uplink power control
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W72/00—Local resource management
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W84/00—Network topologies
    • H04W84/02—Hierarchically pre-organised networks, e.g. paging networks, cellular networks, WLAN [Wireless Local Area Network] or WLL [Wireless Local Loop]
    • H04W84/04—Large scale networks; Deep hierarchical networks
    • H04W84/042—Public Land Mobile systems, e.g. cellular systems
    • H04W84/045—Public Land Mobile systems, e.g. cellular systems using private Base Stations, e.g. femto Base Stations, home Node B

Definitions

  • Embodiments of the present disclosure relate generally to wireless communication systems, and more particularly, to methods and apparatuses for beamforming using a base codebook and a differential codebook.
  • a mobile station in a closed-loop multi input and/or multi output (MIMO) system generally transmits channel state information to a base station over a feedback path.
  • the channel state information is used to employ beamforming at the base station, to compensate for the current channel conditions.
  • the mobile station transmits a channel covariance matrix to the base station, from which the base station determines a beamforming matrix that is used to employ beamforming at the base station.
  • a beamforming matrix is generated at the mobile station based on the channel conditions. The generated beamforming matrix is then provided to the base station as feedback.
  • transmitting the channel covariance matrix and/or the beamforming matrix from the mobile station to the base station may consume relatively high bandwidth that might otherwise be available for data traffic.
  • Fig. 1 schematically illustrates a MIMO system
  • Fig. 2 illustrates an exemplary method for determination and quantization of a beamforming matrix
  • Fig. 3 illustrates an exemplary method for estimating a beamforming matrix based on feedback received from a mobile station
  • Fig. 4 illustrates an example system capable of implementing a communication device, all in accordance with various embodiments of the present disclosure.
  • Illustrative embodiments of the invention include, but are not limited to, methods and apparatuses for generating and/or estimating a beamforming matrix using a base codebook and a differential codebook.
  • the phrase “in some embodiments” is used repeatedly. The phrase generally does not refer to the same embodiments; however, it may.
  • the terms “comprising,” “having,” and “including” are synonymous, unless the context dictates otherwise.
  • the phrase “A and/or B” means (A), (B), or (A and B).
  • the phrase “A/B” means (A), (B), or (A and B), similar to the phrase “A and/or B”.
  • the phrase “at least one of A, B and C” means (A), (B), (C), (A and B), (A and C), (B and C) or (A, B and C).
  • the phrase “(A) B” means (B) or (A and B), that is, A is optional.
  • a conjugate transpose of an m by n matrix A with possibly complex entries is an n by m matrix, represented by A*, obtained by taking the transpose of the matrix A, and then taking the complex conjugate of each entry of the matrix formed by taking the transpose of the matrix A.
  • a matrix B is unitary if and only if B has an inverse, wherein the inverse of B is equal to the conjugate transpose of B.
  • two vectors are orthogonal if the two vectors are perpendicular to each other (e.g., the two vectors form a right angle, the dot product of the two vectors is 0).
  • a hermitian matrix C is a square matrix with possible complex entries, each of which is equal to its own conjugate transpose (e.g., the element in the i l row and j l column of matrix C is equal to the complex conjugate of the element in the j th row and 1 th column of matrix C, for all indices i and j).
  • C* C.
  • Embodiments of the present disclosure may be used in wireless access networks that employ orthogonal frequency division multiple access (OFDMA) communications as used by multicarrier transmission schemes presented in, e.g., the Institute of Electrical and Electronics Engineers (IEEE) 802.16 - 2009, approved May 13, 2009, along with any amendments, updates, and/or revisions (e.g., 802.16m, which is presently at predraft stage), 3rd Generation Partnership Project (3GPP) long-term evolution (LTE) project, ultra mobile broadband (UMB) project (also referred to as "3GPP2”), etc.
  • 3GPP 3rd Generation Partnership Project
  • LTE long-term evolution
  • UMB ultra mobile broadband
  • communications may be compatible with additional/alternative
  • FIG. 1 schematically illustrates a communication system 100, in accordance with various embodiments of the present disclosure.
  • the communication system 100 in accordance with various embodiments of the present disclosure.
  • the communication system 100 in accordance with various embodiments of the present disclosure.
  • the communication system 100 includes a base station 104 that communicates with a mobile station 140 over wireless channel 130.
  • the base station 104 and/or the mobile station 140 may be MIMO devices.
  • the communication system 100 may be a closed-loop system that employs beamforming to increase a signal to noise ratio (SNR) of signals transmitted by base station 104 to mobile station 140.
  • SNR signal to noise ratio
  • the base station 104 may transmit one or more data streams to the mobile station 140.
  • Fig. 1 illustrates a data stream Sl being transmitted by the base station 104 to the mobile station 140, although in various other embodiments, any other suitable number of data streams may also be provided.
  • the data stream Sl Prior to transmission, the data stream Sl may be appropriately weighted by one or more components of the base station 104 as discussed hereinafter.
  • the base station 104 may include a beamformer module 112 to weight data signals (e.g., data signals of data stream Sl) by a beamforming matrix.
  • data signals e.g., data signals of data stream Sl
  • beamforming is used herein to describe the application of beamforming coefficients or weights to frequency-domain signals in the data stream(s), prior to transmission.
  • the beamforming coefficients or weights may be determined from the beamforming matrix.
  • Base station 104 may comprise a plurality of transmit antennas 108a, 108b, 108c and 108d, to transmit the weighted data stream.
  • Fig. 1 four transmit antennas are illustrated, although in various other embodiments, any other suitable number of transmit antennas may be included in the base station 104.
  • the base station 104 may also include one or more receive antennas (e.g., receive antenna 110) that may receive, among other information, feedback about the channel condition from the mobile station 140.
  • receive antenna 110 may receive, among other information, feedback about the channel condition from the mobile station 140.
  • the base station 104 may also include a beamforming matrix estimation module 116, which may be configured to estimate the beamforming matrix, based at least in part on feedback received from the mobile station 140.
  • a beamforming matrix estimation module 116 which may be configured to estimate the beamforming matrix, based at least in part on feedback received from the mobile station 140.
  • An order (e.g., number of rows and/or columns) of the beamforming matrix may be based on a number of data stream(s) transmitted by the base station 104 and a number of transmit antennas included in the base station 104.
  • the beamforming matrix may be of order N t by N 8 , where N t and N s are the number of transmit antennas and the number of data stream(s), respectively, of the base station 104.
  • N t is 4 (as there are four transmit antennas 108a, 108b, 108c and 108d) and Ns is 1 (as there is one data stream Sl), and hence, a beamforming matrix B is a 4 by 1 vector.
  • the signal transmitted by the base station 104 may be represented by
  • S represents N s data stream(s) (e.g., data stream Sl of Fig. 1) of the base station 104
  • B is the N t by N s beamforming matrix determined by the beamforming matrix estimation module 116
  • x is an N t by 1 vector corresponding to the weighted data signals transmitted by the four transmit antennas 108a, 108b, 108c and 108d.
  • the base station 104 may include at least as many transmit antennas as the number of data stream(s) being transmitted by base station 104, although the scope of this disclosure may not be limited in this respect.
  • N t is at least as high as N s .
  • the mobile station 140 may include one or more receive antennas, e.g., receive antennas 144a and 144b, configured to receive signals transmitted through channel 130 by the base station 104.
  • receive antennas 144a and 144b receive antennas
  • two receive antennas are illustrated, although in various other embodiments, any other suitable number of receive antennas may be used.
  • the mobile station 140 may include at least as many receive antennas as the number of data stream(s) being transmitted by base station 104, although the scope of this disclosure may not be limited in this respect.
  • the mobile station 140 may also include a channel estimation module 148 to estimate channel conditions of the channel 130, based at least in part on signals received from one or more of the transmit antennas 108a, ..., 108d.
  • the channel estimation module 148 may determine a channel matrix H which describes the current state of channel 130.
  • the channel matrix H may be indicative of conditions of sub-channels between each of the transmit antennas
  • the channel matrix H may be of the order N r by N t , where N r may be a number of receive antennas in the mobile station 140.
  • the channel estimation module 148 may also construct a channel covariance matrix R from the channel matrix H.
  • the channel covariance matrix R may be equal to
  • H* is the conjugate transpose of the channel matrix H
  • E[ ] is an expectation operation.
  • the channel matrix H may be
  • the channel covariance matrix R may be a Hermitian matrix of order N t by N t , where N t (e.g., the number of transmit antennas of the base station 104) is 4 for the MIMO system 100.
  • the mobile station 140 may also include a matrix decomposition module 152 configured to decompose the channel covariance matrix R using, for example, singular value decomposition.
  • Singular value decomposition of a matrix refers to factorizing the matrix in three different matrices.
  • the singular value decomposition of the channel covariance matrix R may be of the form:
  • U is an unitary square matrix of order Nt
  • ⁇ is a N t by N t diagonal matrix with nonnegative real numbers on its diagonal
  • V* is the conjugate transpose of an unitary square matrix V of order Nt.
  • the columns of matrix V may be the eigenvectors of matrix (R*)R
  • the diagonal values in matrix ⁇ may be the singular values of R.
  • the matrix V may include the beamforming matrix, and the part of the matrix V that represents the beamforming matrix may be represented by Vb.
  • the beamforming matrix is a 4 by 1 vector.
  • the matrix V is a 4 by 4 square matrix, and the first column of V (e.g., the principal eigenvector of matrix (R*)R) may form the beamforming matrix V b . That is, in this case, the beamforming matrix V b may consist of the first column of the matrix V.
  • the matrix V is a 4 by 4 square matrix and the beamforming matrix V b is a 4 by 2 matrix.
  • the first two columns of V e.g., two eigenvectors of matrix (R*)R
  • the mobile station 140 may also include a quantization module 156.
  • the quantization module 156 may quantize the beamforming matrix Vb using a base codebook Cb.
  • the base codebook Cb may be used to populate the surface of a manifold to efficiently encode or quantize the beamforming matrix.
  • the base codebook Cb may include a plurality of candidate matrices, each having dimensions similar to the beamforming matrix Vb.
  • a candidate matrix, among the plurality of candidate matrices, that best matches the beamforming matrix Vb may be selected from the base codebook Cb, and a codeword corresponding to the selected candidate matrix may be feedback by the mobile station 140 to the base station 104.
  • the selected candidate matrix may be representative of the beamforming matrix Vb (e.g., the selected candidate matrix may be a quantized version of the beamforming matrix Vb), and the selected candidate matrix may be referred herein as quantized beamforming matrix.
  • the quantization module 156 may quantize the beamforming matrix Vb as follows:
  • V is the quantized beamforming matrix
  • Cb is the base codebook
  • Vi represents the candidate matrices in the base codebook Cb
  • V b * is a complex conjugate of the beamforming matrix V b
  • is the Frobenius-norm operation.
  • Equation 4 selects, from among the plurality of candidate matrices included in the base codebook Cb, the quantized beamforming matrix V that is best representative of the beamforming matrix Vb.
  • the quantization error may be based on several factors including, but not limited to, a number of candidate matrices included in the base codebook Cb and how closely the beamforming matrix Vb matches the selected candidate matrix (e.g., the quantized beamforming matrix V ) from the base codebook C b .
  • the mobile station 140 may determine a difference matrix that is representative of a difference between the beamforming matrix Vb and the quantized beamforming matrix V.
  • a difference matrix D may be formed such that
  • [V V 1 ] * is the conjugate transpose of N t by N t matrix [V V 1 ] .
  • V 1 - may be a matrix that includes columns that are orthogonal to the columns of the quantized beamforming matrix V
  • the order of the matrix V L may be N t by (N t - N 8 ).
  • V is a 4 by 1 vector
  • V L may be a 4 by 3 matrix that is selected such that each of the columns of V ⁇ are orthogonal to the vector V.
  • V is a 4 by 2 matrix
  • V 1 may be a 4 by 2 matrix that is selected such that each of the columns of V 1 are orthogonal to each of the columns of the matrix V.
  • V 1 may be selected such that [V V 1 ] is a unitary matrix.
  • the difference matrix D and/or the matrix V 1 may be calculated by, for example, a householder reflection operation on the quantized beamforming matrix V.
  • the difference matrix D may be representative of the difference between the beamforming matrix V b and the matrix V.
  • the difference matrix D may be quantized using a differential codebook Ca.
  • the differential codebook Ca may include a plurality of candidate matrices, each having dimensions similar to the difference matrix D.
  • the quantization module 156 may quantize the difference matrix D as follows:
  • Equation 6 selects, from the differential codebook Ca, a candidate matrix D that is best representative of the difference matrix D.
  • the mobile station 140 may transmit, by way of the transmit antenna 160, a first codeword and a second codeword to the base station 104.
  • the first codeword e.g., from the base codebook Cb
  • the second codeword e.g., from the differential codebook Ca
  • the mobile station 140 may transmit the first codeword and the second codeword to the base station 104 (e.g., instead of sending the actual matrices V and D ), to enable the base station 104 to estimate the beamforming matrix Vb from the transmitted first and second codewords.
  • the quantized beamforming matrix V is an n th matrix of the plurality of candidate matrices in the base codebook Cb and if the quantized difference matrix D is a m th matrix of the plurality of the candidate matrices in the differential codebook Ca, then the numbers n and m may be the first and second codewords, respectively.
  • codewords associated with the quantized beamforming matrix V and/or the quantized difference matrix D may be formed in any other appropriate manner as well.
  • the base station 104 may determine, from the received first and second codewords, the matrices D and V , respectively, using saved copies of the base codebook Cb and differential codebook Ca. In various other embodiments, the base station 104 may determine, from the received codewords, the matrices D and V in any other appropriate manner as well.
  • the beamforming matrix estimation module 116 in the base station 104 may estimate the original beamforming matrix V b .
  • the beamforming matrix estimation module 116 may generate the matrix V ⁇ from the determined matrix V .
  • the estimated beamforming matrix J ⁇ may be an estimate of the original beamforming matrix Vb.
  • the base station 104 e.g., the beamformer module 112 may weight data stream(s) (e.g., as discussed with respect to equation 1) with the estimated beamforming matrix V b , and the transmit antennas 108a,
  • 108d of the base station 104 may transmit the weighted data stream(s).
  • Fig. 2 illustrates an exemplary method 200 for determination and quantization of a beamforming matrix, in accordance with various embodiments of the present invention.
  • the method 200 includes, at 204 ("Determining a channel covariance matrix R"), determining, e.g., by the channel estimation module 148 of the mobile station 140, a channel covariance matrix R based on signals received from the base station 104.
  • the channel covariance matrix R may be formed from the channel matrix H, as discussed with respect to equation 2.
  • the channel matrix H may be representative of conditions of sub-channels between one or more transmit antennas 108a, ... 108d of the base station 104 and one or more receive antennas 144a, 144b of the mobile station 140.
  • the method 200 may further include, at 208 ("Decomposing the channel covariance matrix"), decomposing, e.g., by the matrix decomposition module 152 of the mobile station 140, the channel covariance matrix R into a left matrix U, a diagonal matrix
  • the method 200 may further include, at 212 ("Determining beamforming matrix
  • the beamforming matrix Vb determines, e.g., by the matrix decomposition module 152 of the mobile station 140, the beamforming matrix Vb such that the beamforming matrix Vb comprises one or more columns of the right matrix V.
  • the beamforming matrix Vb may comprise the first N s number of columns of the right matrix V.
  • the method 200 may further include, at 216 ("Selecting a quantized beamforming matrix"), selecting, e.g., by the quantization module 156 of the mobile station 140, a quantized beamforming matrix V from a first plurality of candidate matrices included in base codebook Cb, where the quantized beamforming matrix V may be representative of the beamforming matrix Vb.
  • the quantized beamforming matrix V may be selected such that the quantized beamforming matrix V , among the first plurality of candidate matrices in the base codebook Cb, maximizes a Frobenius norm of a product of a complex conjugate of the beamforming matrix and the quantized beamforming matrix V , as discussed with respect to equation 4.
  • the method 200 may further include, at 220 ("Determining a difference matrix"), determining, e.g., by the quantization module 156 of the mobile station 140, a difference matrix D that is representative of a difference between the beamforming matrix Vb and the quantized beamforming matrix V , as discussed with respect to equation 5.
  • a difference matrix D that is representative of a difference between the beamforming matrix Vb and the quantized beamforming matrix V , as discussed with respect to equation 5.
  • matrix F x may be formed (e.g., using householder reflection on the quantized beamforming matrix V ) based at least in part on the quantized beamforming matrix V , such that each of one or more columns of the matrix F x is orthogonal to each of one or more columns of the quantized beamforming matrix V .
  • matrix [V v ] may be formed, which may be a combination of the quantized beamforming matrix V and the matrix V ⁇ .
  • the matrix V L may be formed such that the matrix [V K ] is an unitary matrix having an order that is equal to a number of rows of the beamforming matrix Vb.
  • the difference matrix D may be determined such that the difference matrix D is a product of a complex conjugate of the matrix [V V ⁇ ] and the beamforming matrix V b , as discussed with respect to equation 5.
  • the method 200 may further include, at 224 ("Selecting a quantized beamforming matrix"), selecting, e.g., by the quantization module 156 of the mobile station 140, a quantized difference matrix D from a second plurality of candidate matrices included in differential codebook Ca, where the quantized difference matrix D may be representative of the difference matrix D.
  • the quantized difference matrix D may be selected such that the quantized difference matrix D , among all the second plurality of candidate matrices in the difference codebook Ca, maximizes a Frobenius norm of a product of a complex conjugate of the difference matrix and the quantized difference matrix D , as discussed with respect to equation 6.
  • the method 200 may further include, at 228 ("Transmitting a first codeword and a second codeword"), transmitting, e.g., by the transmit antenna 160 of the mobile station 140, to the base station 104, a first codeword and a second codeword associated with the quantized beamforming matrix and the quantized difference matrix, respectively, as previously discussed.
  • Fig. 3 illustrates an exemplary method 300 for estimating, by base station 104, the beamforming matrix based on feedback received from the mobile station 140, in accordance with various embodiments of the present invention.
  • One or more operations of the method 300 may be carried by one or more modules of the base station 104.
  • the method 300 includes, at 304 ("Receiving a first codeword and a second codeword"), receiving, e.g., by the receive antenna 110, from the mobile station 140, e.g., from the transmit antenna 160, a first codeword and a second codeword associated with the quantized beamforming matrix V and the quantized difference matrix D , respectively.
  • the method 300 may further include, at 308 ("Determining the quantized beamforming matrix and the quantized difference matrix"), determining, e.g., by the beamforming matrix estimation module 116, the quantized beamforming matrix V and the quantized difference matrix D based at least in part on the received first codeword and the second codeword, respectively.
  • the method 300 may further include, at 312 ("Estimating a beamforming matrix"), estimating, e.g., by the beamforming matrix estimation module 116, the beamforming matrix (e.g., the estimated beamforming matrix V b ) from the determined quantized beamforming matrix V and the quantized difference matrix! ) , as discussed with respect to equation 7.
  • Estimatimating a beamforming matrix estimating, e.g., by the beamforming matrix estimation module 116, the beamforming matrix (e.g., the estimated beamforming matrix V b ) from the determined quantized beamforming matrix V and the quantized difference matrix! ) , as discussed with respect to equation 7.
  • the method 300 may further include, at 316 ("Weighing one or more data streams”), weighing, e.g., by the beamformer module 112, one or more data streams (e.g., data stream Sl) using the estimated beamforming matrix V b .
  • the method 300 may further include, at 320 ("Transmitting the weighed data streams"), transmitting, e.g. by one or more transmit antennas (e.g., transmit antennas 108a, ..., 108d) of the base station 104, the weighed data stream(s) to the mobile station 140.
  • Quantizing the beamforming matrix using two codebooks Cb and Ca has several advantages relative to quantizing a beamforming matrix using a single codebook. For example, quantizing the beamforming matrix into the quantized beamforming matrix V and the quantized difference matrix D may reduce a quantization error. Accordingly, the estimation of the beamforming matrix, formed at the base station 104, may be more accurate.
  • a base codebook and a differential codebook is used to quantize the beamforming matrix.
  • more than one differential codebook may also be used.
  • a second difference matrix may be generated (e.g., using an equation that is at least in part similar to equation 5), which may be representative of a difference between the difference matrix D and the quantized difference matrix D .
  • the second difference matrix may then be quantized using a second differential codebook to generate a second quantized difference matrix.
  • the mobile station 140 may transmit, to the base station 104, a codeword corresponding to the second quantized difference matrix, in addition to transmitting codewords
  • the base station 104 may estimate the beamforming matrix f using codewords corresponding to the quantized beamforming matrix, the quantized difference matrix, and the second quantized difference matrix.
  • the mobile station 140 (which includes the quantized beamforming matrix V and the quantized difference matrix Z) ) is transmitted by the mobile station 140 to the base station 104.
  • the mobile station 140 may also transmit a quantized form of the channel covariance matrix R (e.g., instead of or in addition to transmitting the quantized form of the beamforming matrix) to the base station 104, to enable the base station 104 to reconstruct or estimate the channel covariance matrix and subsequently determine the beamforming matrix by decomposing the estimated channel covariance matrix.
  • the mobile station 140 may quantize the channel covariance matrix R (e.g., obtained from equation 2) using a base codebook (using a method that is at least in part similar to equation 4) to obtain a quantized channel covariance matrix.
  • the mobile station 140 may then calculate a corresponding difference matrix (using a method that is at least in part similar to equation 5) that is representative of a difference between the channel covariance matrix and the quantized channel covariance matrix.
  • the mobile station 140 may quantize the corresponding difference matrix using a differential codebook (using a method that is at least in part similar to equation 6) to obtain a corresponding quantized difference matrix.
  • the mobile station 140 may transmit codewords corresponding to the generated quantized matrices to the base station 104, from which the base station 104 may estimate the channel covariance matrix.
  • the base station 104 may then estimate the beamforming matrix by decomposing (e.g., using singular value decomposition) the estimated channel covariance matrix.
  • FIG. 4 illustrates, for one embodiment, an example system 400 comprising one or more processor(s) 404, system control logic 408 coupled to at least one of the processor(s) 404, system memory 412 coupled to system control logic 408, non-volatile memory (NVM)/storage 416 coupled to system control logic 408, and one or more communications interface(s) 420 coupled to system control logic 408.
  • processor(s) 404 the processor(s) 404
  • system control logic 408 coupled to at least one of the processor(s) 404
  • system memory 412 coupled to system control logic 408, non-volatile memory (NVM)/storage 416 coupled to system control logic 408, and one or more communications interface(s) 420 coupled to system control logic 408.
  • NVM non-volatile memory
  • System control logic 408 may include any suitable interface controllers to provide for any suitable interface to at least one of the processor(s) 404 and/or to any suitable device or component in communication with system control logic 408.
  • System control logic 408 may include one or more memory controller(s) to provide an interface to system memory 412.
  • System memory 412 may be used to load and store data and/or instructions, for example, for system 400.
  • System memory 412 for one embodiment may include any suitable volatile memory, such as suitable dynamic random access memory (DRAM), for example.
  • DRAM dynamic random access memory
  • System control logic 408 may include one or more input/output (I/O) controller(s) to provide an interface to NVM/storage 416 and communications interface(s) 420.
  • I/O input/output
  • NVM/storage 416 may be used to store data and/or instructions, for example.
  • NVM/storage 416 may include any suitable non-volatile memory, such as flash memory, for example, and/or may include any suitable non-volatile storage device(s), such as one or more hard disk drive(s) (HDD(s)), one or more compact disc (CD) drive(s), and/or one or more digital versatile disc (DVD) drive(s) for example.
  • HDD hard disk drive
  • CD compact disc
  • DVD digital versatile disc
  • the NVM/storage 416 may include a storage resource physically part of a device on which the system 400 is installed or it may be accessible by, but not necessarily a part of, the device.
  • the NVM/storage 416 may be accessed over a network via the communications interface(s) 420.
  • System memory 412 and NVM/storage 416 may include, in particular, temporal and persistent copies of beamforming matrix logic 424, respectively.
  • the system 400 may be a part of the mobile station 140, and the beamforming matrix logic 424 may include instructions that when executed by at least one of the processor(s) 404 result in the system 400 generating a beamforming matrix and/or quantizing the beamforming matrix (e.g., using a base codebook and a differential codebook), as described herein.
  • the system 400 may be a part of the base station 104, and the beamforming matrix logic 424 may include instructions that when executed by at least one of the processor(s) 404 result in the system
  • the beamforming matrix logic 424 may additionally (or alternatively) be located in the system control logic 408.
  • Communications interface(s) 420 may provide an interface for system 400 to communicate over one or more network(s) and/or with any other suitable device.
  • Communications interface(s) 420 may include any suitable hardware and/or firmware.
  • Communications interface(s) 420 for one embodiment may include, for example, a network adapter, a wireless network adapter, a telephone modem, and/or a wireless modem.
  • communications interface(s) 420 for one embodiment may use one or more antennae.
  • At least one of the processor(s) 404 may be packaged together with logic for one or more controller(s) of system control logic 408.
  • at least one of the processor(s) 404 may be packaged together with logic for one or more controllers of system control logic 408 to form a System in Package (SiP).
  • SiP System in Package
  • At least one of the processor(s) 404 may be integrated on the same die with logic for one or more controller(s) of system control logic 408.
  • at least one of the processor(s) 404 may be integrated on the same die with logic for one or more controller(s) of system control logic 408 to form a System on Chip
  • system 400 may have more or less components, and/or different architectures.
  • certain example methods, apparatus, and articles of manufacture have been described herein, the scope of coverage of this disclosure is not limited thereto. On the contrary, this disclosure covers all methods, apparatus, and articles of manufacture fairly falling within the scope of the appended claims either literally or under the doctrine of equivalents.
  • the above discloses example systems including, among other components, software or firmware executed on hardware, it should be noted that such systems are merely illustrative and should not be considered as limiting.
  • any or all of the disclosed hardware, software, and/or firmware components could be embodied exclusively in hardware, exclusively in software, exclusively in firmware or in some combination of hardware, software, and/or firmware.

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Abstract

Des modes de réalisation de l'invention portent sur des procédés et un appareil pour déterminer et/ou quantifier une matrice de formation de faisceau. Dans certains modes de réalisation, la détermination et/ou la quantification de la matrice de formation de faisceau peut comprendre l'utilisation d'un livre de codes de base et d'un livre de codes différentiel. L'invention porte également sur des variantes et des modes de réalisation supplémentaires.
EP10797665.6A 2009-07-06 2010-07-02 Formation de faisceau à l'aide de livres de codes de base et différentiel Withdrawn EP2452445A4 (fr)

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US22336009P 2009-07-06 2009-07-06
US12/639,640 US8315204B2 (en) 2009-07-06 2009-12-16 Beamforming using base and differential codebooks
PCT/US2010/040887 WO2011005677A2 (fr) 2009-07-06 2010-07-02 Formation de faisceau à l'aide de livres de codes de base et différentiel

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JP2012532567A (ja) 2012-12-13
WO2011005677A2 (fr) 2011-01-13
BR112012000427B1 (pt) 2021-06-01
KR101442452B1 (ko) 2014-09-23
KR20130116366A (ko) 2013-10-23
BR112012000427A2 (pt) 2018-04-10
KR101345950B1 (ko) 2014-01-02
CN102474320B (zh) 2014-10-15
CN102474320A (zh) 2012-05-23
JP5536884B2 (ja) 2014-07-02
WO2011005677A3 (fr) 2011-05-05
EP2452445A4 (fr) 2017-02-15
KR20120033348A (ko) 2012-04-06

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