Table of Contents
ISRN Communications and Networking
Volume 2011, Article ID 546205, 6 pages
http://dx.doi.org/10.5402/2011/546205
Research Article

Rapidly-Converging Series Representations of a Mutual-Information Integral

1Computational and Information Sciences Directorate, U.S. Army Research Laboratory, Adelphi, MD 20783-1197, USA
2Lane Department of Computer Science and Electrical Engineering, West Virginia University, Morgantown, WV 26506, USA

Received 23 November 2010; Accepted 13 December 2010

Academic Editors: C. Carbonelli and K. Teh

Copyright © 2011 Don Torrieri and Matthew Valenti. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper evaluates a mutual-information integral that appears in EXIT-chart analysis and the capacity equation for the binary-input AWGN channel. Rapidly-converging series representations are derived and shown to be computationally efficient. Over a wide range of channel signal-to-noise ratios, the series are more accurate than the Gauss-Hermite quadrature and comparable to Monte Carlo integration with a very large number of trials.