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Moment Generating Functions of Generalized Wireless Fading Channels and\n Applications in Wireless Communication Theory

2016/04/24 by Ehab Salahat, Salahat, Ehab, Ali Hakam +5
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research

paper · pdf · doi:10.48550/arxiv.1604.06993

openalex publication_date 2016/04/24 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this paper, new exact and approximate moment generating functions (MGF)\nexpression for generalized fading models are derived. Specifically, we consider\nthe \η-\λ-\μ, \α-\μ, \α-\η-\μ,\n\α-\λ-\μ, \α-\κ-\μ, and\n\α-\λ-\η-\μ generalized fading distributions to derive\napproximate MGF expressions. The new expressions are very accurate and, in\ncontrast to earlier results in the literature, avoid any complicated special\nfunctions, e.g. the Meijer-G and Fox H-functions. As such, the new MGF\nexpressions allow easier and more efficient analytical manipulations, which\nalso apply for their special cases such as the Rayleigh, Rice, and Nakagami-m\nfading. As an illustrative application, the average bit error rates for each of\nthe fading models are evaluated using the new derived MGF expressions. The\naccuracy of the analytical results by using the numerically computed results as\na basis of comparison as well as published results from the literature.\n

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