Accurate simple closed-form approximations to the distributions and densities of a sum of independent Rayleigh random variables

被引:0
|
作者
Hu, J [1 ]
Beaulieu, NC [1 ]
机构
[1] Univ Alberta, iCORE Wireless Commun Lab, Edmonton, AB T6G 2V4, Canada
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中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The statistical distribution of a sum of Rayleigh random variables is often required when analyzing the performance of wireless communication systems. A closed-form expression does not exist for the sum distribution and consequently, it is approximated or calculated numerically. 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 approximations to the distributions and densities of Rayleigh sum random variables are presented in this paper. These approximations are valid for a wide range of probability values and number of summands.
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页码:1092 / 1095
页数:4
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