Symbol error rate of QO-STBC based decode-and-forward cooperative communication system over generalised Undefined control sequence biη–Undefined control sequence biμ and Undefined control sequence biκ–Undefined control sequence biμ fading channels

摘要

In this study, the authors derive the closed form expressions for symbol error rate (SER) of a quasi-orthogonal spacetime block code (QO-STBC) based multi-relay cooperative communication system using M-ary phase-shift keying (M-PSK) modulation over generalised κ-μ fading channel. For the same system over η-μ fading channel, due to the unobtainability of the closed form SER expressions, the analysis is restricted to binary-PSK and the bit error rate (BER) has been derived. The authors employ decode-and-forward protocol at the relays and maximal ratio combiner at the destination. For the ease of analysis, the authors consider a three relay cooperative network and the SER has been derived which could be extended to any number of relays or QO-STBCs. First, the expressions of SER were expressed in terms of moment generating function (MGF) and finally, the available closed form expression for MGF of η-μ and κ-μ channel distributions are used to obtain the final expression of theoretical BER/SER. The validity of the obtained BER/SER expressions for a three relay cooperative system are verified through Monte-Carlo simulations by varying the channel parameters of η-μ and κ-μ fading channels.