Closed-form statistics for the sum of squared Nakagami-m variates and its applications

Author

Karagiannidis, George K. ; Sagias, Nikos C. ; Tsiftsis, Theodoros A.

Author_Institution

Electr. & Comput. Eng. Dept., Aristotle Univ. of Thessaloniki

Volume

54

Issue

8

fYear

2006

Firstpage

1353

Lastpage

1359

Abstract

We present closed-form expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of non-identical squared Nakagami-m random variables (RVs) with integer-order fading parameters. As it is shown, they can be written as a weighted sum of Erlang PDFs and CDFs, respectively, while the analysis includes both independent and correlated sums of RVs. The proposed formulation significantly improves previously published results, which are either in the form of infinite sums or higher order derivatives of the fading parameter m. The obtained formulas can be applied to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels

Keywords

Nakagami channels; diversity reception; statistical analysis; Erlang PDF; Nakagami-m fading channels; closed-form statistics; correlated sums; cumulative distribution function; diversity combining receivers; higher order derivatives; integer-order fading parameters; nonidentical squared Nakagami-m random variables; performance analysis; probability density function; weighted sum; Closed-form solution; Distribution functions; Diversity reception; Fading; Nakagami distribution; Performance analysis; Probability density function; Random variables; Statistical distributions; Statistics; Average symbol-error probability (ASEP); Nakagami-; Shannon´s channel capacity; diversity; maximal ratio combining (MRC); outage probability; sum of Erlang variates;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2006.878812

Filename

1673666