Publication:
A Derivation of the Source-Channel Error Exponent Using Nonidentical Product Distributions

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Abstract
This paper studies the random-coding exponent of joint source-channel coding for a scheme where source messages are assigned to disjoint subsets (referred to as classes), and codewords are independently generated according to a distribution that depends on the class index of the source message. For discrete memoryless systems, two optimally chosen classes and product distributions are found to be sufficient to attain the sphere-packing exponent in those cases where it is tight.
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Keywords
Joint source-channel coding, Set theory, Reliability function, Random coding, Product distributions, Sphere-packing bound
Bibliographic citation
IEEE Transactions on Information Theory, 60(6), pp. 3209-3217