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Bivariate Fisher–Snedecor \( {\user2{\mathcal{F}}} \) Distribution with Arbitrary Fading Parameters

  • Weijun ChengEmail author
  • Xianmeng Xu
  • Xiaoting Wang
  • Xiaohan Liu
Conference paper
  • 47 Downloads
Part of the Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering book series (LNICST, volume 309)

Abstract

A bivariate Fisher–Snedecor \( {\mathcal{F}} \) composite distribution with arbitrary fading parameters (not necessary identical) is presented in this paper. We derive novel theoretical formulations of the statistical characteristics for the correlated \( {\mathcal{F}} \) composite fading model, which include the joint probability density function, the joint cumulative distribution function, the joint moments and the power correlation coefficient. Capitalizing on the joint cumulative distribution function, the bit error rate for binary digital modulation systems and the outage probability of a correlated dual-branch selection diversity system, and the level crossing rate and the average fade duration of a sampled Fisher-Snedecor \( {\mathcal{F}} \) composited fading envelope are obtained, respectively. Finally, we employ numerical and simulation results to demonstrate the validity of the theoretical analysis under various correlated fading and shadowing scenarios.

Keywords

Fisher–Snedecor \( {\mathcal{F}} \) distribution Correlated composite fading Selection diversity Second-order statistics 

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Copyright information

© ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2020

Authors and Affiliations

  • Weijun Cheng
    • 1
    Email author
  • Xianmeng Xu
    • 1
  • Xiaoting Wang
    • 1
  • Xiaohan Liu
    • 1
  1. 1.School of Information EngineeringMinzu University of ChinaBeijingPeople’s Republic of China

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