A simple method to approximate the probability of error for equal gain combiner over independent fading channels

✍ Scribed by Hossein Samimi; Paeiz Azmi

• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 175 KB
• Volume: 21
• Category: Article
• ISSN: 1074-5351
• DOI: 10.1002/dac.911

✦ Synopsis

Abstract

Using the Beaulieu series, the probability of error for equal gain combiner over independent fading channels can be formulated in the form of an infinite series. The computation of the coefficients of this series needs complicated integrations over fading envelope distribution. In this paper, a new approximation method is developed for the computation of the required coefficients of the error probability series, which needs only mean and variance of the fading envelope. Hence, the purposed method eliminates the need for complicated integrations while computing the required coefficients. This feature provides an interesting flexibility for our developed method, so that it can be used as a unified method for performance analysis of equal gain combiner over various independent fading channels, especially where the required integrations have no closed‐form solutions. To present an application for the proposed approximation method, the fading channel is modeled by three‐parameter generalized Gamma distribution (GG3), which is a generic model that covers many well‐known channel models for both multipath and shadow fading. The presented numerical results show good accuracy as well as low computational complexity of the presented method. Copyright © 2007 John Wiley & Sons, Ltd.