Statistics of the sum of lognormal variables in wireless communications

Paulo Cardieri, Theodore S. Rappaport

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Schwartz & Yeh's method and Wilkinson's method are widely used to compute the moments of the total co-channel interference in wireless communication, usually modeled as the sum of lognormal random variables. The accuracy of these methods has been studied in previous works, under the assumption of having all summands signals (individual interference signals) identically distributed. Such assumption rarely holds in practical cases of emerging wireless systems, where interference may stem from far-away macrocells and nearby transmitters, causing the interference signals to have different moments. In this paper we present an analysis of Wilkinson's method and Schwartz & Yeh's method, for the general case when the summands have different mean values and standard deviations in decibel units. We show that Schwartz & Yeh's method provides better accuracy than Wilkinson's method and is virtually invariant with the difference of the mean values and standard deviations of the summands, and the number of summands.

Original languageEnglish (US)
Title of host publicationIEEE Vehicular Technology Conference
PublisherIEEE
Pages1823-1827
Number of pages5
Volume3
StatePublished - 2000
EventVTC2000: 51st Vehicular Technology Conference 'Shaping History Through Mobile Technologies' - Tokyo, Jpn
Duration: May 15 2000May 18 2000

Other

OtherVTC2000: 51st Vehicular Technology Conference 'Shaping History Through Mobile Technologies'
CityTokyo, Jpn
Period5/15/005/18/00

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Cardieri, P., & Rappaport, T. S. (2000). Statistics of the sum of lognormal variables in wireless communications. In IEEE Vehicular Technology Conference (Vol. 3, pp. 1823-1827). IEEE.