In this paper, performance of a cooperative decodeand-forward system is analyzed in κ-µ, η-µ, and mixed κ-µ and η-µ fading environment. Exact expressions for the average symbol error rate are derived for M -ary phase-shift keying modulated data using moment generating function based approach. Further, asymptotic expressions at high signal-to-noise ratio are analyzed to obtain optimal power allocation at the source and the relay node. Diversity order for the different fading types is also obtained. The effect of source to destination distance on the performance of cooperative fixed-relay system is observed for equal and optimal power allocations.Index Terms-Average symbol error rate (SER), decode-andforward (DF) relaying, M -ary phase-shift keying (MPSK), η-µ fading, κ-µ fading, optimal power allocation.

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