Testbeds and Research Infrastructures for the Development of Networks and Communications. 14th EAI International Conference, TridentCom 2019, Changsha, China, December 7-8, 2019, Proceedings

Research Article

Bivariate Fisher–Snedecor Distribution with Arbitrary Fading Parameters

  • @INPROCEEDINGS{10.1007/978-3-030-43215-7_8,
        author={Weijun Cheng and Xianmeng Xu and Xiaoting Wang and Xiaohan Liu},
        title={Bivariate Fisher--Snedecor  Distribution with Arbitrary Fading Parameters},
        proceedings={Testbeds and Research Infrastructures for the Development of Networks and Communications. 14th EAI International Conference, TridentCom 2019, Changsha, China, December 7-8, 2019, Proceedings},
        proceedings_a={TRIDENTCOM},
        year={2020},
        month={3},
        keywords={Fisher--Snedecor  distribution Correlated composite fading Selection diversity Second-order statistics},
        doi={10.1007/978-3-030-43215-7_8}
    }
    
  • Weijun Cheng
    Xianmeng Xu
    Xiaoting Wang
    Xiaohan Liu
    Year: 2020
    Bivariate Fisher–Snedecor Distribution with Arbitrary Fading Parameters
    TRIDENTCOM
    Springer
    DOI: 10.1007/978-3-030-43215-7_8
Weijun Cheng1,*, Xianmeng Xu1, Xiaoting Wang1, Xiaohan Liu1
  • 1: Minzu University of China
*Contact email: weijuncheng@muc.edu.cn

Abstract

A bivariate Fisher–Snedecor 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 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 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.