Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
By Masahito Hayashi. IEEE Transactions on Information Theory, 2008
368 citations recorded by the source corpus.
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.
Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/219b5e6c9c5dc1c3da303203074f20521f16f27f
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In Computational Theory and Mathematics
In Computer Networks and Communications
- Yury Polyanskiy
- Sergio Verdú
- Petar Popovski
- Antonia Maria Tulino
- Medhi Bennis
- Giuseppe Caire
- Angel E. Lozano
- Shlomo Shamai
In Electrical and Electronic Engineering
- Yury Polyanskiy
- Sergio Verdú
- Petar Popovski
- Antonia Maria Tulino
- Medhi Bennis
- Giuseppe Caire
- Angel E. Lozano
- Shlomo Shamai
Citations in the corpus
- Channel Coding Rate in the Finite Blocklength Regime (2010, background): “Similarly, an asymptotic expansion up to the term is put forward in [47] based on a heuristic appeal to the central-limit theorem and fine quantization of the input/output alphabets.”