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Overcomplete Frame Expansions As Joint Source-Channel Codes for MIMO Channels

This paper provides a performance analysis of DFT-based frame expansions used as joint source-channel codes (JSCC) for signal transmission over multiple input multiple output (MIMO) wireless channels. Their performance is compared with equivalent channel coded systems employing linear dispersion codes (LDC's) in terms of the maximum achievable mutual information between the transmitted and the received symbol vector and the average end-to-end mean-square error. The input signal is modeled as a memoryless, zero-mean, unit variance, Gaussian random variable and the wireless channel considered is the slow Rayleigh fading channel. Simulation results show that the frame based JSCC system not only has better performance in terms of the end-to-end mean square error but also achieves a higher mutual information as compared to equivalent LDC based channel-coded systems.