Second Order Analysis for Joint Source-Channel Coding with Markovian Source
Information Theory
2024-09-10 v2 math.IT
Abstract
We derive the second order rates of joint source-channel coding, whose source obeys an irreducible and ergodic Markov process when the channel is a discrete memoryless, while a previous study solved it only in a special case. 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 only with numerical calculation. To make these two notable progress, we introduce two kinds of new distribution families, switched Gaussian convolution distribution and *-product distribution, which are defined by modifying the Gaussian distribution.
Keywords
Cite
@article{arxiv.1701.03290,
title = {Second Order Analysis for Joint Source-Channel Coding with Markovian Source},
author = {Ryo Yaguchi and Masahito Hayashi},
journal= {arXiv preprint arXiv:1701.03290},
year = {2024}
}