The Slashed-Rayleigh Fading Channel Distribution

We propose an alternative distribution for modelling fading-shadowing wireless channels. This distribution presents certain advantages over the Rayleigh-lognormal distribution and the K distribution and has proved useful in the setting described. We obtain closed-form expressions for the average cha...

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Bibliographic Details
Published in:Mathematical problems in engineering 2019-01, Vol.2019 (2019), p.1-14
Main Authors: Gómez-Déniz, Emilio, Gómez, Héctor W., Gómez, L.
Format: Article
Language:English
Subjects:
Applied mathematics
Bit error rate
Channel capacity
Computer simulation
Fading
Gaussian process
Mathematical problems
Parameter estimation
Phase shift keying
Receivers & amplifiers
Satellite communications
Stochastic processes
Wireless communications
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Summary:We propose an alternative distribution for modelling fading-shadowing wireless channels. This distribution presents certain advantages over the Rayleigh-lognormal distribution and the K distribution and has proved useful in the setting described. We obtain closed-form expressions for the average channel capacity and for the average bit error rate of differential phase-shift keying and of minimum shift keying when the new distribution is used. This distribution can be obtained exactly as the sum of mutual independent Gaussian stochastic processes, because it must represent the simulation of the fading channel; that is, it simulates the signal envelope. Finally, we describe practical applications of this distribution, comparing it with the Rayleigh-lognormal and K distributions.
ISSN:1024-123X
1563-5147
DOI:10.1155/2019/2719849