Efficient Performance Evaluation for EGC, MRC and SC Receivers over Weibull Multipath Fading Channel

The probability density function (PDF) of the output SNR (Signal to Noise Ratio) at a receiver operating under Weibull fading multipath channel is unknown in closed form and exists only as a complicated multiple integrals or approximated by a series of functions, or recently, by a single function whose evaluation time is not negligible. Our main result is a new simple approximate closed-form of the SNR PDF at the output of three types of receivers over Weibull multipath fading channels. The advantage of this new expression is that its evaluation time is less compared to all previous results. Based on this expression, approximate analytical expressions of the outage probability (OP), the average bit error rate (BER) for several M-ary modulation techniques, and the average channel capacity (CC) are derived in terms of only one particular hypergeometric function, known as Fox-H function. Numerical results have been validated by simulation and compared with recent results.

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