On error exponents of nested lattice codes for the AWGN channel

Tie Liu, Pierre Moulin, Ralf Koetter

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a new lower bound for the error exponents of nested lattice codes for the additive white Gaussian noise (AWGN) channel. The exponents are closely related to those of an unconstrained additive noise channel where the noise is a weighted sum of a white Gaussian and a spherically uniform random vector. The new lower bound improves the previous result derived by Erez and Zamir and stated in terms of the Poltyrev exponents. More surprisingly, the new lower bound coincides with the random coding error exponents of the optimal Gaussian codes for the AWGN channel in the nonexpurgated regime. One implication of this result is that minimum mean squared error (MMSE) scaling, despite its key role in achieving capacity of the AWGN channel, is no longer fundamental in achieving the best error exponents for rates below channel capacity. These exponents are achieved using a lattice inflation parameter derived from a large-deviation analysis.

Original languageEnglish (US)
Title of host publication2004 IEEE Information Theory Workshop - Proceedings, ITW
Pages348-352
Number of pages5
StatePublished - Dec 1 2004
Event2004 IEEE Information Theory Workshop - Proceedings, ITW - San Antonio, TX, United States
Duration: Oct 24 2004Oct 29 2004

Publication series

Name2004 IEEE Information Theory Workshop - Proceedings, ITW

Other

Other2004 IEEE Information Theory Workshop - Proceedings, ITW
CountryUnited States
CitySan Antonio, TX
Period10/24/0410/29/04

ASJC Scopus subject areas

  • Engineering(all)

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