On linear analog coding of sources with memory over fading and broadcast channels with correlated noise

Robust linear analog block coding of a correlated Gaussian source over a Rayleigh fading channel, without encoderside channel-state information (CSI) is investigated. The encoder which minimizes the minimum mean square error, averaged over an ensemble of decoders whose channel gains are drawn from an exponential distribution is derived. This encoder does not require CSI. It is compared with a CSI-adaptive, separate sourcechannel coding system based on transform source coding, as well as, with a non-adaptive vector quantization-based hybrid digital-analog (HDA) system optimized to the decoder ensemble. Numerical results show that optimal linear analog block coding system substantially outperforms the HDA system as the source correlation and channel-noise correlation increases.