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

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Abstract

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

Original languageBritish English
Title of host publication2017 IEEE 85th Vehicular Technology Conference, VTC Spring 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509059324
DOIs
StatePublished - 14 Nov 2017
Event85th IEEE Vehicular Technology Conference, VTC Spring 2017 - Sydney, Australia
Duration: 4 Jun 20177 Jun 2017

Publication series

NameIEEE Vehicular Technology Conference
Volume2017-June
ISSN (Print)1550-2252

Conference

Conference85th IEEE Vehicular Technology Conference, VTC Spring 2017
Country/TerritoryAustralia
CitySydney
Period4/06/177/06/17

Keywords

  • Average Bit Error Rates
  • Generalized Distributions
  • Moment Generating Function
  • α-κ-μ
  • α-λ-η-μ
  • α-μ

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