Rapidly-Converging Series Representations of a Mutual-Information Integral

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, th...

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Bibliographic Details
Published in:ISRN Communications and Networking 2011-01, Vol.2011 (2011), p.1-6
Main Authors: Torrieri, Don, Valenti, Matthew
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Channels
Codes
Computational efficiency
Information theory
Integrals
Mathematical analysis
Monte Carlo methods
Monte Carlo simulation
Quadratures
Random variables
Representations
Signal to noise ratio
Studies
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Summary: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.
ISSN:2090-4355
2090-4363
DOI:10.5402/2011/546205