Simplified approximations to the average of some useful forms of Gaussian Q functions with MRC diversity reception over Nakagami-q and Rician fading channels and their applications |
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| Affiliation: | 1. Department of Computer and Information Sciences, Northumbria University, Pandon Building, Newcastle upon Tyne NE4 9XL, United Kingdom;2. Department of Electronics, ESACH, 16000 Algiers, Algeria;3. Department of Electronics, Jijel University, 18000 Jijel, Algeria;1. School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China;2. College of Electrical and Information Engineering, Hunan University, Changsha 410082, China;1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China;2. National Key Laboratory of Science and Technology on Aerospace Intelligent Control, Beijing, China |
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| Abstract: | In this paper, using an accurate exponential based approximation on the Gaussian Q function, the simplified novel approximations to the average of some useful forms of Gaussian Q functions, with maximal-ratio combining (MRC) diversity reception, over independent but not necessarily identical Nakagami-q (Hoyt) and Rician fading channels are proposed. The results proved to be useful in accurate estimation of the symbol error probability (SEP) for various digital modulation schemes like cross-QAM, triangular-QAM (TQAM), rectangular-QAM and square-QAM (SQAM), over the same fading statistics. Asymptotic expressions of the proposed approximations are also derived in this paper. Various simulation results are provided to verify the accuracy and significance of the proposed work. |
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| Keywords: | Rician fading Digital modulation schemes MRC diversity reception Symbol error probability Asymptotic expressions |
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