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

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 d...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 55; no. 11; pp. 4947 - 4966
Main Author: Hayashi, M.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.11.2009
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Additive Markovian channel
Additive noise
Additives
Applied sciences
Capacity planning
central limit theorem
Channel coding
Channels
Coding
Coding standards
Coding, codes
Costs
Error probability
Errors
Exact sciences and technology
Gallager bound
Gaussian
Gaussian channels
Informatics
Information dissemination
Information security
information spectrum
Information theory
Information, signal and communications theory
Markov analysis
Normal distribution
Optimization
second-order coding rate
Signal and communications theory
Telecommunications and information theory
Upper bound
Second order
Central limit theorem
Additive Markovian channel
Gaussian channel
Gallager bound
second-order coding rate
Transmission rate
information spectrum
Channel coding
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Description
Summary: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.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2009.2030478