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

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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.

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Authors and Affiliations

  1. School of Information Engineering, Minzu University of China, Beijing, People’s Republic of China

    Weijun Cheng, Xianmeng Xu, Xiaoting Wang & Xiaohan Liu

Authors
  1. Weijun Cheng
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  2. Xianmeng Xu
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  3. Xiaoting Wang
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  4. Xiaohan Liu
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Correspondence to Weijun Cheng .

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Editors and Affiliations

  1. Shanghai University, Shanghai, China

    Honghao Gao

  2. School of Software, Central South University, Changsha, China

    Kuang Li

  3. Shanghai Polytechnic University, Shanghai, China

    Xiaoxian Yang

  4. Hangzhou Dianzi University, Hangzhou Shi, Zhejiang, China

    Yuyu Yin

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

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Cheng, W., Xu, X., Wang, X., Liu, X. (2020). Bivariate Fisher–Snedecor \( {\user2{\mathcal{F}}} \) Distribution with Arbitrary Fading Parameters. In: Gao, H., Li, K., Yang, X., Yin, Y. (eds) Testbeds and Research Infrastructures for the Development of Networks and Communications. TridentCom 2019. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 309. Springer, Cham. https://doi.org/10.1007/978-3-030-43215-7_8

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  • DOI: https://doi.org/10.1007/978-3-030-43215-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43214-0

  • Online ISBN: 978-3-030-43215-7

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