A diversity guarantee and SNR performance for unitary limited feedback MIMO systems
EURASIP Journal on Advances in 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
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
Space-time block codes from orthogonal designs
IEEE Transactions on Information Theory
Combining beamforming and orthogonal space-time block coding
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
Grassmannian beamforming for multiple-input multiple-output wireless systems
IEEE Transactions on Information Theory
Quantized feedback information in orthogonal space-time block coding
IEEE Transactions on Information Theory
Achieving the Welch bound with difference sets
IEEE Transactions on Information Theory
Limited feedback unitary precoding for spatial multiplexing systems
IEEE Transactions on Information Theory
The Optimality of Transmit Beamforming: A Unified View
IEEE Transactions on Information Theory
A simple transmit diversity technique for wireless communications
IEEE Journal on Selected Areas in Communications
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Consider finite-rate channel-direction feedback in a system with multiple transmit but single receive antennas. We investigate how the transmitter should be optimized for symbol error rate with finite-rate feedback, and how the symbol error rate and outage probability improve as a function of the number of feedback bits. It is found that when the number of feedback directions is equal to or larger than the number of transmit antennas, transmit beamforming is optimal. Otherwise, the antennas should be divided into two groups, where antenna selection is used in the first group to choose the strongest channel, and equal power allocation is used in the second group. At high signal to noise ratio (SNR), the optimal power allocation between these two antenna groups is proportional to the number of antennas in each group. Based on high SNR analysis, we quantify the power gain of each feedback bit. It is shown that the incremental gain increases initially and diminishes when the number of feedback bits surpasses the logarithm (base 2) of the number of transmit antennas.