On zero-rate error exponents of finite-state channels with input-dependent states

Neri Merhav

doi:https://doi.org/10.1109/TIT.2014.2378259

On zero-rate error exponents of finite-state channels with input-dependent states

Neri Merhav

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We derive a single-letter formula for the zero-rate reliability (error exponent) of a finite-state channel whose state variable depends deterministically (and recursively) on past channel inputs, where the code complies with a given channel input constraint. Special attention is then devoted to the important special case of the Gaussian channel with intersymbol interference, where more explicit results are obtained.

Original language	English
Article number	6977966
Pages (from-to)	741-750
Number of pages	10
Journal	IEEE Transactions on Information Theory
Volume	61
Issue number	2
DOIs	https://doi.org/10.1109/TIT.2014.2378259
State	Published - 1 Feb 2015

Keywords

Bhattacharyya distance
Error exponents
Markov types
expurgated codes
finite-state channels

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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https://doi.org/10.1109/TIT.2014.2378259

Cite this

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abstract = "We derive a single-letter formula for the zero-rate reliability (error exponent) of a finite-state channel whose state variable depends deterministically (and recursively) on past channel inputs, where the code complies with a given channel input constraint. Special attention is then devoted to the important special case of the Gaussian channel with intersymbol interference, where more explicit results are obtained.",

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AB - We derive a single-letter formula for the zero-rate reliability (error exponent) of a finite-state channel whose state variable depends deterministically (and recursively) on past channel inputs, where the code complies with a given channel input constraint. Special attention is then devoted to the important special case of the Gaussian channel with intersymbol interference, where more explicit results are obtained.

KW - Bhattacharyya distance

KW - Error exponents

KW - Markov types

KW - expurgated codes

KW - finite-state channels

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M1 - 6977966

ER -

On zero-rate error exponents of finite-state channels with input-dependent states

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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