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
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.