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Accurate simple closed-form approximations to Rayleigh sum distributions and densities

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2 Author(s)
Hu, J. ; iCORE Wireless Commun. Lab., Alberta Univ., Edmonton, Alta., Canada ; Beaulieu, N.C.

Sums of Rayleigh random variables occur extensively in wireless communications. A closed-form expression does not exist for the sum distribution and consequently, it is often evaluated numerically or approximated. A widely used small argument approximation for the density is shown to be inaccurate for medium and large values of the argument. Highly accurate, simple closed-form expressions for the sum distributions and densities are presented. These approximations are valid for a wide range of argument values and number of summands.

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Communications Letters, IEEE  (Volume:9 ,  Issue: 2 )