Optimum Laguerre expansion for the envelope PDF of two sine waves in Gaussian noise

Ali Abdi, Said Nader-Esfahani

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

The sum of two randomly-phased sine waves and Gaussian noise arises in various fields of communications. In this paper, a Laguerre series and also a power series are introduced, for the envelope PDF of this random process. Moreover, tight upper bounds are derived for the truncation error of these two infinite series. Comparison of these two upper bounds show that the Laguerre series is superior to the power series; because for a fixed number of terms, it yields minimum truncation error.

Original languageEnglish (US)
Pages (from-to)160-163
Number of pages4
JournalConference Proceedings - IEEE SOUTHEASTCON
StatePublished - Jan 1 1996
Externally publishedYes
EventProceedings of the 1996 IEEE SOUTHEASTCON Conference - Tampa, FL, USA
Duration: Apr 11 1996Apr 14 1996

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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