Joint Source-Channel With Side Information Coding Error Exponents

This paper studies the upper and the lower bounds on the joint source-channel coding error exponent with decoder side-information. The results in the paper are non-trivial extensions of the Csiszar's classical paper. Unlike the joint source-channel coding result, it is not obvious whether the lower bound and the upper bound are equivalent even if the channel coding error exponent is known. For a class of channels, including the symmetric channels, the paper applies a game-theoretic result to establish the existence of a saddle point and hence prove that the lower and upper bounds are the same if the channel coding error exponent is known. More interestingly, the paper shows that encoder side-information does not increase the error exponents in this case.