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Unified Analysis of the Average Gaussian Error Probability for a Class of Fading Channels

2011/03/02 by José F. Paris, Paris, Jose F.
Computer Science · Engineering · #Advanced Wireless Communication Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.1103.0502

openalex publication_date 2011/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper focuses on the analysis of average Gaussian error probabilities in certain fading channels, i.e. we are interested in E[Q((p γ)^(1/2))] where Q(.) is the Gaussian Q-function, p is a positive real number and γ is a nonnegative random variable. We present a unified analysis of the average Gaussian error probability, derive a compact expression in terms of the Lauricella FD^(n) function that is applicable to a broad class of fading channels, and discuss the relation of this expression and expressions of this type recently appeared in literature. As an intermediate step in our derivations, we also obtain a compact expression for the outage probability of the same class of fading channels. Finally, we show how this unified analysis allows us to obtain novel performance analytical results.

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