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On the Utility of Laguerre Series for the Envelope PDF in Multipath Fading Channels.

Authors :
Ali Abdi
Source :
IEEE Transactions on Information Theory. Dec2009, Vol. 55 Issue 12, p5652-5660. 9p. 2 Graphs.
Publication Year :
2009

Abstract

It is well known that multipath fading significantly affects the performance of communication systems. In order to incorporate the impact of this random phenomenon on system analysis and design, in many cases, we need to calculate the probability density function (pdf) of the received signal envelope in multipath fading channels. In this paper, we consider a general multipath fading channel with arbitrary number of paths, where amplitudes of multipath components are arbitrary correlated positive random variables, independent of phases, whereas the phases are independent and identically distributed random variables with uniform distributions. Since the integral form of the envelope pdf for such a general channel model is too complicated to be used for analytic calculations, we propose two infinite expansions for the pdf: a Laguerre series and a power series. Based on the tight uniform upper bounds on the truncation error of these two infinite series, we show that the Laguerre series is superior to the power series due to the fact that for a fixed number of terms, it yields smaller truncation error. This Laguerre series with a finite number of terms, which expresses the envelope pdf just in terms of simple polynomial-exponential kernels, is particularly useful for mathematical performance prediction of communication systems in those indoor and outdoor multipath propagation environments, where the number of strong multipath components is small. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189448
Volume :
55
Issue :
12
Database :
Academic Search Index
Journal :
IEEE Transactions on Information Theory
Publication Type :
Academic Journal
Accession number :
47101217
Full Text :
https://doi.org/10.1109/TIT.2009.2032824