Distortion SNR exponent for vector quantization on MIMO channels

This paper studies the distortion SNR exponent of a tandem source-channel coding system with vector quantization and space-time block coding on multiple-input multiple-output (MIMO) fading channels. Specifically, we have obtained two closed-form formulas for the distortion SNR exponents of the tandem system under two settings. One is to design the quantization codebook and partition separately from channel conditions and the other is to design them based on channel conditions. In addition, as the two formulas happen to be the same, which suggests that the optimization of quantization codebook and partition designs with or without channel information will not effect the distortion SNR exponents, we determine the optimal spectral efficiency, which maximizes the distortion SNR exponent of the studied coding system.