Second Order Analysis for Joint Source-Channel Coding With General Channel and Markovian Source

We derive the optimal second-order rates in joint source-channel coding when the channel is a general discrete memoryless channel and the source is an irreducible and ergodic Markov process. In contrast, previous studies solved it only when the channel satisfies a certain unique-variance condition a...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 65; no. 9; pp. 5750 - 5770
Main Authors Yaguchi, Ryo, Hayashi, Masahito
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Channel coding
Coding
Convolution
Decoding
Distribution functions
Gaussian distribution
joint source-channel coding
Markov chain
Markov processes
Normal distribution
second order
separation scheme
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ISSN0018-9448
1557-9654
DOI10.1109/TIT.2019.2917200

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Summary:We derive the optimal second-order rates in joint source-channel coding when the channel is a general discrete memoryless channel and the source is an irreducible and ergodic Markov process. In contrast, previous studies solved it only when the channel satisfies a certain unique-variance condition and the source is subject to an independent and identical distribution. We also compare the joint source-channel scheme with the separation scheme in the second-order regime, while a previous study made a notable comparison with numerical calculation. To discuss these two topics, we introduce two kinds of new distribution families, switched Gaussian convolution distribution and *-product distribution, which are defined by modifying the Gaussian distribution.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2019.2917200