M-ary symbol error outage over Nakagami-m fading channels in shadowing environments

Authors:
Philippe Mary;Mischa Dohler;Jean-Marie Gorce;Guillaume Villemaud;Marylin Arndt
Affiliations:
ETIS Laboratory, UMR, CNRS, ENSEA, University of Cergy-Pontoise, Cergy-Pontoise Cedex, France;CTTC, Parc Mediterrani de la Tecnologia, Barcelona, Spain;CITI, INSA-Lyon, Villeurbanne Cedex, France;CITI, INSA-Lyon, Villeurbanne Cedex, France;France Telecom R&D, Meylan Cedex, France
Venue:
IEEE Transactions on Communications
Year:
2009

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Abstract

This letter addresses the problem of finding a tractable expression for the symbol error outage (SEO) in flat Nakagami-m fading and shadowing channels. We deal with M-ary phase shift keying (M-PSK) and quadrature amplitude modulation (M-QAM) which extends our previous results on BPSK signaling. We propose a new tight approximation of the symbol error probability (SEP) holding for M-PSK and M-QAM signals which is accurate over all signal to noise ratios (SNRs) of interest. We derive a new generic expression for the inverse SEP which facilitates the derivation of a tight approximation of the SEO in a lognormal shadowing environment.