Cyclic-coded integer-forcing equalization

Or Ordentlich*, Uri Erez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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 languageAmerican English
Article number6211427
Pages (from-to)5804-5815
Number of pages12
JournalIEEE Transactions on Information Theory
Issue number9
StatePublished - 2012
Externally publishedYes

Bibliographical 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.


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


Dive into the research topics of 'Cyclic-coded integer-forcing equalization'. Together they form a unique fingerprint.

Cite this