Vector quantization and signal compression
Vector quantization and signal compression
Source Coding Theory
IEEE Transactions on Signal Processing
Design and Analysis of MIMO Spatial Multiplexing Systems With Quantized Feedback
IEEE Transactions on Signal Processing
Limited feedback unitary precoding for orthogonal space-time block codes
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Design and analysis of transmit-beamforming based on limited-rate feedback
IEEE Transactions on Signal Processing
Quantifying the power loss when transmit beamforming relies on finite-rate feedback
IEEE Transactions on Wireless Communications
A Threshold-Based Channel State Feedback Algorithm for Modern Cellular Systems
IEEE Transactions on Wireless Communications
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
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
Bennett's integral for vector quantizers
IEEE Transactions on Information Theory
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
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Transformed codebooks are obtained by a transformation of a given codebook to best match the statistical environment at hand. The procedure, though suboptimal, has recently been suggested for feedback of channel state information (CSI) in multiple antenna systems with correlated channels because of their simplicity and effectiveness. In this paper, we first consider the general distortion analysis of vector quantizers with transformed codebooks. Bounds on the average system distortion of this class of quantizers are provided. It exposes the effects of two kinds of suboptimality introduced by the transformed codebook, namely, the loss caused by suboptimal point density and the loss caused by mismatched Voronoi shape. We then focus our attention on the application of the proposed general framework to providing capacity analysis of a feedback-based MISO system over spatially correlated fading channels. In particular, with capacity loss as an objective function, upper and lower bounds on the average distortion of MISO systems with transformed codebooks are provided and compared to that of the optimal channel quantizers. The expressions are examined to provide interesting insights in the high and low SNR regime. Numerical and simulation results are presented which confirm the tightness of the distortion bounds.