Title :
Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
Author :
Hayashi, Masahito
Author_Institution :
Grad. Sch. of Inf. Sci., Tohoku Univ., Sendai, Japan
Abstract :
In this 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 epsiv 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.
Keywords :
Gaussian channels; Markov processes; channel coding; error statistics; Gaussian channel case; additive Markovian case; channel coding; constant error constraint; discrete memoryless case; error probability; information spectrum approach; optimum second-order transmission rate; second-order coding rate; Additive noise; Capacity planning; Channel coding; Costs; Error probability; Gaussian channels; Informatics; Information security; Information theory; Upper bound; Additive Markovian channel; Gallager bound; central limit theorem; channel coding; information spectrum; second-order coding rate;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2030478
