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In this paper, we analyse the performance of a single-relay cooperative diversity system, which is an effective technique to combat the effects of small scale fading, in a more realistic scenario by assuming a correlation among source-torelay (SR), relay-to-destination (RD), and source-to-destination (SD) links. A generalised closed form end-to-end symbol error probability (SEP) expression for M -ary phase-shift keying (MPSK) scheme using paired error approach has been derived over correlated Nakagami-m fading channels with decode and forward (DF) protocol being used at the relay node. Moreover, we use similar error approach to analyse the performance of a double correlated cooperative diversity system by assuming the correlation between SR and RD channels. Finally, Monte Carlo simulation has been performed to validate the theoretical results. Index Terms-Decode and forward (DF) protocol, M -ary phase-shift keying (MPSK), Nakagami-m fading, paired error approach, and symbol error probability (SEP).

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