Abstract
Characterization of temporal variations in wireless channel impairments plays an important role in the design of a reliable and efficient mobile communication system. Such channels are termed as fading channels since various random phenomena in the propagation path result in fading of the received signal envelope [1]. The exact probability density functions (pdf) and distribution functions (cdf) of a product of independent Rayleigh distributed random variables. The case n = 1 is the classical Rayleigh distribution, while n ≥ 2 is the n-Rayleigh distribution that has recently attracted interest in wireless propagation research. The distribution functions are derived by using an inverse Mellin transform technique from statistics, and are given in terms of a special function of mathematical physics. Series forms of the distribution function are also provided for n = 3, 4, 5.
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