Cyclic-coded integer-forcing equalization

Or Ordentlich; Uri Erez

doi:10.1109/TIT.2012.2202633

Cyclic-coded integer-forcing equalization

Or Ordentlich, Uri Erez

School of Electrical Engineering

Tel Aviv University

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

Abstract

A discrete-time intersymbol interference (ISI) channel with additive Gaussian noise is considered, where only the receiver has knowledge of the channel impulse response. An approach for combining decision-feedback equalization with channel coding is proposed, where decoding precedes the removal of ISI. The proposed approach involves equalizing the channel impulse response to a response with integer-valued coefficients in conjunction with utilizing cyclic block codes. Leveraging the property that a cyclic code is closed under cyclic integer-valued convolution allows us to perform decoding prior to applying decision feedback. Explicit bounds on the performance of the proposed scheme are derived.

Original language	English
Article number	6211427
Pages (from-to)	5804-5815
Number of pages	12
Journal	IEEE Transactions on Information Theory
Volume	58
Issue number	9
DOIs	https://doi.org/10.1109/TIT.2012.2202633
State	Published - 2012

Keywords

Combined equalization and coding
cyclic codes
decision-feedback equalization (DFE)
intersymbol interference (ISI)
linear Gaussian channels
single-carrier modulation

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.2012.2202633

Cite this

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title = "Cyclic-coded integer-forcing equalization",

abstract = "A discrete-time intersymbol interference (ISI) channel with additive Gaussian noise is considered, where only the receiver has knowledge of the channel impulse response. An approach for combining decision-feedback equalization with channel coding is proposed, where decoding precedes the removal of ISI. The proposed approach involves equalizing the channel impulse response to a response with integer-valued coefficients in conjunction with utilizing cyclic block codes. Leveraging the property that a cyclic code is closed under cyclic integer-valued convolution allows us to perform decoding prior to applying decision feedback. Explicit bounds on the performance of the proposed scheme are derived.",

keywords = "Combined equalization and coding, cyclic codes, decision-feedback equalization (DFE), intersymbol interference (ISI), linear Gaussian channels, single-carrier modulation",

author = "Or Ordentlich and Uri Erez",

note = "Funding Information: Manuscript received June 18, 2011; revised November 22, 2011; accepted March 31, 2012. Date of publication June 04, 2012; date of current version August 14, 2012. This work was supported in part by the Israel Science Foundation under Grant 1557/10 and in part by the Binational Science Foundation under Grant 2008455. O. Ordentlich was supported in part by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities, in part by a fellowship from The Yitzhak and Chaya Weinstein Research Institute for Signal Processing at Tel Aviv University, and in part by the Feder Family Award. This paper was presented in part at the 48th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, September 29–October 1, 2010.",

year = "2012",

doi = "10.1109/TIT.2012.2202633",

language = "الإنجليزيّة",

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AU - Ordentlich, Or

AU - Erez, Uri

N1 - Funding Information: Manuscript received June 18, 2011; revised November 22, 2011; accepted March 31, 2012. Date of publication June 04, 2012; date of current version August 14, 2012. This work was supported in part by the Israel Science Foundation under Grant 1557/10 and in part by the Binational Science Foundation under Grant 2008455. O. Ordentlich was supported in part by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities, in part by a fellowship from The Yitzhak and Chaya Weinstein Research Institute for Signal Processing at Tel Aviv University, and in part by the Feder Family Award. This paper was presented in part at the 48th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, September 29–October 1, 2010.

PY - 2012

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N2 - A discrete-time intersymbol interference (ISI) channel with additive Gaussian noise is considered, where only the receiver has knowledge of the channel impulse response. An approach for combining decision-feedback equalization with channel coding is proposed, where decoding precedes the removal of ISI. The proposed approach involves equalizing the channel impulse response to a response with integer-valued coefficients in conjunction with utilizing cyclic block codes. Leveraging the property that a cyclic code is closed under cyclic integer-valued convolution allows us to perform decoding prior to applying decision feedback. Explicit bounds on the performance of the proposed scheme are derived.

AB - A discrete-time intersymbol interference (ISI) channel with additive Gaussian noise is considered, where only the receiver has knowledge of the channel impulse response. An approach for combining decision-feedback equalization with channel coding is proposed, where decoding precedes the removal of ISI. The proposed approach involves equalizing the channel impulse response to a response with integer-valued coefficients in conjunction with utilizing cyclic block codes. Leveraging the property that a cyclic code is closed under cyclic integer-valued convolution allows us to perform decoding prior to applying decision feedback. Explicit bounds on the performance of the proposed scheme are derived.

KW - Combined equalization and coding

KW - cyclic codes

KW - decision-feedback equalization (DFE)

KW - intersymbol interference (ISI)

KW - linear Gaussian channels

KW - single-carrier modulation

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U2 - 10.1109/TIT.2012.2202633

DO - 10.1109/TIT.2012.2202633

M3 - مقالة

SN - 0018-9448

VL - 58

SP - 5804

EP - 5815

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 9

M1 - 6211427

ER -

Cyclic-coded integer-forcing equalization

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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