The Geometry of Algorithms with Orthogonality Constraints
SIAM Journal on Matrix Analysis and Applications
Foundations of Quantization for Probability Distributions
Foundations of Quantization for Probability Distributions
Quantization on the Complex Projective Space
DCC '06 Proceedings of the Data Compression Conference
Selecting an optimal set of transmit antennas for a low rank matrix channel
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 05
Limited feedback unitary precoding for orthogonal space-time block codes
IEEE Transactions on Signal Processing
Quantization on the Grassmann Manifold
IEEE Transactions on Signal Processing
MIMO antenna subset selection with space-time coding
IEEE Transactions on Signal Processing
Optimal transmitter eigen-beamforming and space-time block coding based on channel mean feedback
IEEE Transactions on Signal Processing
Performance Analysis of Quantized Beamforming MIMO Systems
IEEE Transactions on Signal Processing
Receive antenna selection for MIMO spatial multiplexing: theory and algorithms
IEEE Transactions on Signal Processing
Optimal designs for space-time linear precoders and decoders
IEEE Transactions on Signal Processing
A simple gradient sign algorithm for transmit antenna weight adaptation with feedback
IEEE Transactions on Signal Processing
Fast transfer of channel state information in wireless systems
IEEE Transactions on Signal Processing
Transmitter optimization and optimality of beamforming for multiple antenna systems
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
Quantifying the power loss when transmit beamforming relies on finite-rate feedback
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Space-time block codes from orthogonal designs
IEEE Transactions on Information Theory
Systematic design of unitary space-time constellations
IEEE Transactions on Information Theory
Representation theory for high-rate multiple-antenna code design
IEEE Transactions on Information Theory
Space-time transmit precoding with imperfect feedback
IEEE Transactions on Information Theory
Optimal transmitter eigen-beamforming and space-time block coding based on channel correlations
IEEE Transactions on Information Theory
On beamforming with finite rate feedback in multiple-antenna systems
IEEE Transactions on Information Theory
Full-diversity, high-rate space-time block codes from division algebras
IEEE Transactions on Information Theory
Signal constellations for quasi-orthogonal space-time block codes with full diversity
IEEE Transactions on Information Theory
Limited feedback unitary precoding for spatial multiplexing systems
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
A simple transmit diversity technique for wireless communications
IEEE Journal on Selected Areas in Communications
Spatial multiplexing in correlated fading via the virtual channel representation
IEEE Journal on Selected Areas in Communications
IEEE Transactions on Wireless Communications
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A multiple-input multiple-output (MIMO) wireless channel formed by antenna arrays at the transmitter and at the receiver offers high capacity and significant diversity. Linear precoding may be used, along with spatial multiplexing (SM) or space-time block coding (STBC), to realize these gains with low-complexity receivers. In the absence of perfect channel knowledge at the transmitter, the precoding matrices may be quantized at the receiver and informed to the transmitter using a feedback channel, constituting a limited feedback system. This can possibly lead to a performance degradation, both in terms of diversity and array gain, due to the mismatch between the quantized precoder and the downlink channel. In this paper, it is proven that if the feedback per channel realization is greater than a threshold, then there is no loss of diversity due to quantization. The threshold is completely determined by the number of transmit antennas and the number of transmitted symbol streams. This result applies to both SM and STBC with unitary precoding and confirms some conjectures made about antenna subset selection with linear receivers. A closed form characterization of the loss in SNR (transmit array gain) due to precoder quantization is presented that applies to a precoded orthogonal STBC system and generalizes earlier results for single-stream beamforming.