QAM and PSK codebooks for limited feedback MIMO beamforming
IEEE Transactions on Communications
Design and Analysis of MIMO Spatial Multiplexing Systems With Quantized Feedback
IEEE Transactions on Signal Processing
Optimal transmitter eigen-beamforming and space-time block coding based on channel mean feedback
IEEE Transactions on Signal Processing
Design and analysis of transmit-beamforming based on limited-rate feedback
IEEE Transactions on Signal Processing
Transmitter optimization and optimality of beamforming for multiple antenna systems
IEEE Transactions on Wireless Communications
Quantifying the power loss when transmit beamforming relies on finite-rate feedback
IEEE Transactions on Wireless Communications
On the performance of random vector quantization limited feedback beamforming in a MISO system
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Linear multiuser receivers in random environments
IEEE Transactions on Information Theory
Space-time transmit precoding with imperfect feedback
IEEE Transactions on Information Theory
Combining beamforming and orthogonal space-time block coding
IEEE Transactions on Information Theory
Opportunistic beamforming using dumb antennas
IEEE Transactions on Information Theory
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
On beamforming with finite rate feedback in multiple-antenna systems
IEEE Transactions on Information Theory
Grassmannian beamforming for multiple-input multiple-output wireless systems
IEEE Transactions on Information Theory
On the capacity of MIMO broadcast channels with partial side information
IEEE Transactions on Information Theory
Limited feedback unitary precoding for spatial multiplexing systems
IEEE Transactions on Information Theory
Signature optimization for CDMA with limited feedback
IEEE Transactions on Information Theory
Transmit beamforming in multiple-antenna systems with finite rate feedback: a VQ-based approach
IEEE Transactions on Information Theory
MIMO Broadcast Channels With Finite-Rate Feedback
IEEE Transactions on Information Theory
Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
What is the value of limited feedback for MIMO channels?
IEEE Communications Magazine
Efficient use of side information in multiple-antenna data transmission over fading channels
IEEE Journal on Selected Areas in Communications
On the capacity of a multiple-antenna communication link with channel side information
IEEE Journal on Selected Areas in Communications
Optimizing MIMO antenna systems with channel covariance feedback
IEEE Journal on Selected Areas in Communications
Systematic Codebook Designs for Quantized Beamforming in Correlated MIMO Channels
IEEE Journal on Selected Areas in Communications
Multi-Antenna Downlink Channels with Limited Feedback and User Selection
IEEE Journal on Selected Areas in Communications
Feedback reduction in uplink MIMO OFDM systems by chunk optimization
EURASIP Journal on Advances in Signal Processing
Quantized transmit beamforming with antenna selection in a MIMO channel
Proceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wirelessly
QAM and PSK codebooks for limited feedback MIMO beamforming
IEEE Transactions on Communications
Progressive refinement of beamforming vectors for high-resolution limited feedback
EURASIP Journal on Advances in Signal Processing - Multiuser MIMO Transmission with Limited Feedback, Cooperation, and Coordination
Performance analysis of RVQ-based limited feedback beamforming codebooks
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Limited feedback for multi-carrier beamforming: a rate-distortion approach
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
MIMO precoding with limited rate feedback: simple quantizers work well
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Capacity of Generalized UTRA FDD Closed-Loop Transmit Diversity Modes
Wireless Personal Communications: An International Journal
Optimization of training and feedback overhead for beamforming over block fading channels
IEEE Transactions on Information Theory
Interference mitigation by practical transmit beamforming methods in closed femtocells
EURASIP Journal on Wireless Communications and Networking - Special issue on femtocell networks
Hi-index | 754.90 |
Given a multiple-input multiple-output (MIMO) channel, feedback from the receiver can be used to specify a transmit precoding matrix, which selectively activates the strongest channel modes. Here we analyze the performance of random vector quantization (RVQ), in which the precoding matrix is selected from a random codebook containing independent, isotropically distributed entries.We assume that channel elements are independent and identically distributed (i.i.d.) and known to the receiver, which relays the optimal (rate-maximizing) precoder codebook index to the transmitter using B bits.We first derive the large system capacity of beamforming (rank-one precoding matrix) as a function of B, where large system refers to the limit as B and the number of transmit and receive antennas all go to infinity with fixed ratios. RVQ for beamforming is asymptotically optimal, i.e., no other quantization scheme can achieve a larger asymptotic rate.We subsequently consider a precoding matrix with arbitrary rank, and approximate the asymptotic RVQ performance with optimal and linear receivers (matched filter and minimum mean squared error (MMSE)). Numerical examples show that these approximations accurately predict the performance of finite-size systems of interest. Given a target spectral efficiency, numerical examples show that the amount of feedback required by the linear MMSE receiver is only slightly more than that required by the optimal receiver, whereas the matched filter can require significantly more feedback.