Average SEP of AF Relaying in Nakagami-m Fading Environments

This paper is devoted to an investigation of an exact average symbol error probability (SEP) for amplify and forward (AF) relaying in independent Nakagami- fading environments with a nonnegative integer plus one-half , which covers many actual scenarios, such as one-side Gaussian distribution ( ). Using moment generating function approach, the closed-form SEP is expressed in the form of Lauricella multivariate hypergeometric function. Four modulation modes are considered: rectangular quadrature amplitude modulation (QAM), -ary phase shift keying (MPSK), -ary differential phase shift keying (MDPSK), and /4 differential quaternary phase shift keying (DQPSK). The result is very simple and general for a nonnegative integer plus one-half , which covers the same range as integer . The tightness of theoretical analysis is confirmed by computer simulation results.

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