A new closed-form approximations for MRC receiver over non-identical Weibull fading channels
Faissal El Bouanani
Abstract
Faissal El Bouanani
Abstract
In this paper, we derive a novel probability density function (PDF)-based expression for various performance criteria with L-branch maximal-ratio combining over independent and not necessarily identical Weibull fading channels. Approximating the output SNR by a simple H-distribution, useful closed formulas for cumulative distribution function, moment generating function, outage probability, amount of fading, average capacity, and average symbol error rate for some M-ary modulation schemes are derived in terms of Meijer G-function. All results are illustrated and validated by computed simulations using Mathematica software.
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In this paper, we derive a novel probability density function (PDF)-based expression for various performance criteria with L-branch maximal-ratio combining over independent and not necessarily identical Weibull fading channels. Approximating the output SNR by a simple H-distribution, useful closed formulas for cumulative distribution function, moment generating function, outage probability, amount of fading, average capacity, and average symbol error rate for some M-ary modulation schemes are derived in terms of Meijer G-function. All results are illustrated and validated by computed simulations using Mathematica software.
Key concepts: Fading, Weibull distribution, Cumulative distribution function, Moment-generating function, Maximal-ratio combining, Weibull fading, Probability density function, Fading distribution