Abstract

AbstractVector quantisation for joint source‐channel (JSC) coding over a finite‐state Markov channel (FSMC) is studied. In particular, minimum mean square error (MMSE) decoding of a vector quantised source in the absence of channel state information (CSI) is considered. Based on hidden Markov modelling of the channel output, two decoding strategies are proposed. The first one is a soft‐decoder which estimates the source reconstruction vectors directly from a sequence of channel output samples. The second one is a hard‐decoder based on joint maximum a posteriori (MAP) probability estimation of channel symbols and channel states. An iterative procedure for designing JSC optimised vector quantisers (VQs) is also proposed. Finally, the design of VQs for wireless channels using a finite‐state model is examined. Experimental results are provided for a Gauss‐Markov source and flat‐fading wireless channels. A comparison with an idealised tandem source‐channel coding system is also provided to demonstrate the advantage of the proposed JSC coding approach. Copyright © 2007 John Wiley & Sons, Ltd.

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