Beaulieu-Xie Phase-Envelope Joint and Bivariate Distributions

A new, exact and closed-form expression is presented for the Beaulieu-Xie (BX) phase-envelope joint distribution. In addition, bivariate statistics are also determined for the BX distribution: the bivariate probability density function (PDF) of the envelope, the bivariate PDF of the instantaneous si...

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Bibliographic Details
Published in:IEEE communications letters 2021-05, Vol.25 (5), p.1453-1457
Main Authors: Silva, Hugerles S., Almeida, Danilo B. T., Queiroz, Wamberto J. L., Silva, Higo T. P., Oliveira, Arnaldo S. R., Madeiro, Francisco
Format: Article
Language:English
Subjects:
Beaulieu-Xie fading
Bivariate analysis
bivariate envelope PDF
Fading channels
generalized joint moment
Mathematical model
phase-envelope joint distribution
Probability density function
Probability density functions
Quadratures
Radio frequency
Random variables
Rayleigh channels
Signal to noise ratio
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Summary:A new, exact and closed-form expression is presented for the Beaulieu-Xie (BX) phase-envelope joint distribution. In addition, bivariate statistics are also determined for the BX distribution: the bivariate probability density function (PDF) of the envelope, the bivariate PDF of the instantaneous signal to noise ratio (SNR) and the generalized joint moment of the envelope, with and without correlation between the in-phase and quadrature components. Theoretical curves are plotted for different parameter values that characterize the fading.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2021.3051521