High-SNR asymptotics of mutual information for discrete constellations

A. Alvarado, F.N. Brannstrom, E. Agrell, T. Koch

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

3 Citations (Scopus)
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Abstract

The asymptotic behavior of the mutual information (MI) at high signal-to-noise ratio (SNR) for discrete constellations over the scalar additive white Gaussian noise channel is studied. Exact asymptotic expressions for the MI for arbitrary one-dimensional constellations and input distributions are presented in the limit as the SNR tends to infinity. Asymptotics of the minimum mean-square error (MMSE) are also developed. It is shown that for any input distribution, the MI and the MMSE have an asymptotic behavior proportional to a Gaussian Q-function, whose argument depends on the minimum Euclidean distance of the constellation and the SNR. Closed-form expressions for the coefficients of these Q-functions are calculated.
Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory (ISIT) 2013
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages2274-2278
ISBN (Electronic)978-1-4799-0446-4
DOIs
Publication statusPublished - Jul 2013
Event2013 IEEE International Symposium on Information Theory (ISIT 2013) - Istanbul, Turkey
Duration: 7 Jul 201312 Jul 2013

Conference

Conference2013 IEEE International Symposium on Information Theory (ISIT 2013)
Abbreviated titleISIT 2013
CountryTurkey
CityIstanbul
Period7/07/1312/07/13

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