Abstract
We analyze the exact average symbol error probability (SEP) of binary and M-ary signals with spatial diversity in Nakagami-q (Hoyt) fading channels. The maximal-ratio combining and orthogonal space-time block coding are considered as diversity techniques for single-input multiple-output and multiple-input multiple-output systems, respectively. We obtain the average SEP in terms of the Lauricella multivariate hypergeometric function FD(n). The analysis is verified by comparing with Monte Carlo simulations and we further show that our general SEP expressions particularize to the previously known results for Rayleigh (q = 1) and single-input single-output (SISO) Nakagami-q cases.
Highlights
The accurate calculation of average symbol error probability (SEP) for a variety of modulation schemes has been an area of long-time interest
A unified method for deriving the error probability over fading channels has been presented by using alternative representation of the Gaussian and Marcum Q-function [1, 2]
The average error probability can be expressed in the form of a single finite-range integral whose integrand contains the moment generation function (MGF) of instantaneous signal-to-noise ratio (SNR)
Summary
The accurate calculation of average symbol error probability (SEP) for a variety of modulation schemes has been an area of long-time interest (see [1,2,3,4,5,6,7,8,9,10,11,12] and references therein). A unified method for deriving the error probability over fading channels has been presented by using alternative representation of the Gaussian and Marcum Q-function [1, 2] By their alternative representations, the average error probability can be expressed in the form of a single finite-range integral whose integrand contains the moment generation function (MGF) of instantaneous signal-to-noise ratio (SNR). In this paper, using the MGF-based method [1, 2] and transforming a single integral into the hypergeometric function [4], we derive the exact SEP expressions for spatial diversity systems in Nakagami-q fading.
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