Title: 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.