Cyclic-coded integer-forcing equalization

Or Ordentlich*, Uri Erez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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 languageEnglish
Article number6211427
Pages (from-to)5804-5815
Number of pages12
JournalIEEE Transactions on Information Theory
Volume58
Issue number9
DOIs
StatePublished - 2012

Funding

FundersFunder number
Yitzhak and Chaya Weinstein Research Institute for Signal Processing
United States-Israel Binational Science Foundation2008455
Israel Academy of Sciences and Humanities
Israel Science Foundation1557/10
Tel Aviv University

    Keywords

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

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