Information Spectrum Approach to Second-Order Coding Rate in Channel Coding

Details Information Spectrum Approach to Second-Order Coding Rate in Channel Coding Information Spectrum Approach to Second-Order Coding Rate in Channel Coding

2008-01-15

arxiv.org/abs/0801.2242v2

IEEE Transactions on Information Theory Volume 55, Issue 11, 4947 - 4966 (2009)

Computer Science

Information Theory

Scientific paper

Second-order coding rate of channel coding is discussed for general sequence of channels. The optimum second-order transmission rate with a constant error constraint $\epsilon$ is obtained by using the information spectrum method. We apply this result to the discrete memoryless case, the discrete memoryless case with a cost constraint, the additive Markovian case, and the Gaussian channel case with an energy constraint. We also clarify that the Gallager bound does not give the optimum evaluation in the second-order coding rate.

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