High-SNR Asymptotics of Mutual Information for Discrete Constellations
Paper i proceeding, 2013

The high-signal-to-noise ratio (SNR) asymptotic behavior of the mutual information (MI) 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. Using the relationship between the MI and the minimum mean-square error (MMSE), asymptotics of the 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 only on the minimum Euclidean distance of the constellation and the SNR. Closed-form expressions for the coefficients of these Q-functions are calculated.

Författare

Alex Alvarado

University of Cambridge

Fredrik Brännström

Chalmers, Signaler och system, Kommunikationssystem, informationsteori och antenner, Kommunikationssystem

Erik Agrell

Chalmers, Signaler och system, Kommunikationssystem, informationsteori och antenner, Kommunikationssystem

Tobias Koch

Universidad Carlos III de Madrid

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

2274-2278 6620631

Styrkeområden

Informations- och kommunikationsteknik

Ämneskategorier

Telekommunikation

Kommunikationssystem

Annan elektroteknik och elektronik

DOI

10.1109/ISIT.2013.6620631

ISBN

978-147990446-4