Second Order Analysis for Joint Source-Channel Coding with Markovian Source

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.

References in corpus (2)

• Finite-length Analysis on Tail probability for Markov Chain and Application to Simple Hypothesis Testing
• Uniform Random Number Generation from Markov Chains: Non-Asymptotic and Asymptotic Analyses

Cited by in corpus (1)

• On Finite Blocklength Lossy Source Coding