Bounds on the distribution of a sum of independent lognormal random variables

Author

Ben Slimane, Slimane

Author_Institution

Dept. of Signals, Sensors & Syst., R. Inst. of Technol., Stockholm, Sweden

Volume

49

Issue

6

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

975

Lastpage

978

Abstract

The distribution function of a sum of lognormal random variables (RVs) appears in several communication problems. Approximations are usually used for such distribution as no closed form nor bounds exist. Bounds can be very useful in assessing the performance of any given system. In this letter, we derive upper and lower bounds on the distribution function of a sum of independent lognormal RVs. These bounds are given in a closed form and can be used in studying the performance of cellular radio and broadcasting systems

Keywords

cellular radio; cochannel interference; log normal distribution; radio broadcasting; SNR; approximations; broadcasting systems; cellular radio; closed form bounds; cochannel interference; communication problems; distribution function bounds; independent lognormal random variables sum; lower bound; system performance; upper bound; Background noise; Distribution functions; Fading; Interchannel interference; Land mobile radio; Land mobile radio cellular systems; Power system modeling; Radio communication; Random variables; Signal to noise ratio;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.930627

Filename

930627