Generic MGF‐based tight approximation for the error rate analysis

Abstract

The moment generating function (MGF)-based approach is found as more profound as compared with probability density function (PDF)-based counterpart for error rate analysis in any communication system. However, it fails in the case of several modulation schemes with constellation size M, such as M-PSK, M-QAM, and M-PAM schemes among the others, due to the computational complexity of the involved integration. Though authors in the literature suggest alternate analytical expressions to overcome the problem it is solved only for M-PSK and M-QAM schemes. Hence, we present a generic MGF-based tight approximation for the error rate analysis of different modulation schemes. Particularly, error rate analysis of M-PAM, M-AM, B-PSK, B-FSK, and orthogonal B-FSK with non-coherent (Non-Co) detection modulation schemes are presented through known MGF based expressions without the evaluation of any integration. Also, a simple analytical expression for the M-QAM modulation scheme is presented. Besides, the proposed MGF-based analytical expressions are used to evaluate the error rate of M-PSK, M-PAM, and M-AM modulation schemes over the generalized-K (GK) fading channel, which is not presented in literature due to the computational complexity of involved integration. Newly, derived analytical expressions are validated through Monte Carlo simulation. The graphical results show the validity and accuracy of the proposed unified MGF-based analytical expressions for error rate analysis of different modulation schemes over kμ-gamma and GK fading channels, respectively.

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