A closed-form solution for the distribution of the sum of Nakagami-m random phase vectors
- 11 December 2006
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Communications Letters
- Vol. 10 (12), 828-830
- https://doi.org/10.1109/lcomm.2006.060991
Abstract
The distribution of the modulus of the sum of random phase vectors, is of great practical importance in several applications which deal with sums of sinusoidal signals (wireless multipath transmissions, radars, optical communications, etc). In this letter, simple closed-form expressions are presented for the probability density function (PDF), the cumulative distribution function (CDF), the moment generating function (MGF) and the moments of the envelope distribution of the sum of L non-identical random Nakagami-m phase vectors with integer fading parameters. Moreover, the average over this distribution of the Gaussian Q-function and of the squared Q-function, are also presented in closed-formKeywords
This publication has 2 references indexed in Scilit:
- Parallel Detection of Groupwise Space–Time Codes by Predictive Soft Interference CancellationIEEE Transactions on Communications, 2006
- On the PDF of the sum of random vectorsIEEE Transactions on Communications, 2000