Reflecting on the AWGN error exponent

Charles Swannack, Uri Erez, Gregory W. Wornell

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Recently it was shown that a lattice code with lattice decoding can achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was achieved by using a minimum mean-square error (MMSE) scaling and dithering to transform the AWGN channel into a modulo-lattice additive noise (mod-A) channel. Further, Liu et. al. have shown that lattice decoding can achieve the error exponent of the AWGN channel using a scaling other than the MMSE scaling at rates above the critical rate of the channel. We present a simple geometric explanation for this result.

Original languageEnglish
Title of host publication43rd Annual Allerton Conference on Communication, Control and Computing 2005
PublisherUniversity of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages1066-1075
Number of pages10
ISBN (Electronic)9781604234916
StatePublished - 2005
Event43rd Annual Allerton Conference on Communication, Control and Computing 2005 - Monticello, United States
Duration: 28 Sep 200530 Sep 2005

Publication series

Name43rd Annual Allerton Conference on Communication, Control and Computing 2005
Volume2

Conference

Conference43rd Annual Allerton Conference on Communication, Control and Computing 2005
Country/TerritoryUnited States
CityMonticello
Period28/09/0530/09/05

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