Abstract
In this paper, we derive the symbol error probability (SEP) for maximal ratio combining with an arbitrary number of diversity branches in Nakagami fading with integer-order fading parameters, where the instantaneous signal-to-noise ratios (SNRs) of the diversity branches are not necessarily independent or identically distributed. We consider coherent detection of M-ary phase-shift keying and quadrature amplitude modulation. The proposed problem is made analytically tractable by: (1) transforming the physical diversity branches into a virtual branch domain; and (2) using alternative definite integral representations of the conditional SEP with finite limits; which results in a simple derivation. We further obtain a canonical structure for the SEP as a weighted sum of the elementary SEPs, which are the SEPs of a non-diversity (single-branch) system with appropriate fading parameters and average SNR, whose closed-form expressions are well-known.
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