naa a22 4500 510794777 CHVBK 20180411083332.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s11277-012-0651-1 doi (NATIONALLICENCE)springer-10.1007/s11277-012-0651-1 SEP Performance of Cross QAM Signaling with MRC over Fading Channels and its Arbitrarily Tight Approximation [Elektronische Daten] [Hua Yu, Yanbo Zhao, Jun Zhang, Yige Wang] The exact average symbol error probability (SEP) of the cross quadrature amplitude modulation signal in a single-input multiple-output system over independent but not necessarily identical fading channels is derived. The maximal-ratio combining (MRC) is considered as the diversity technique, and the average SEP is obtained by using the moment generating function (MGF) method. The obtained closed-form SEP expression is presented in terms of a finite sum of single integrals with finite limits and an integrand composed of a finite product of elementary functions. In addition, the arbitrarily tight approximations with the form of a sum of constant coefficient exponential functions for Gaussian Q-function and the generalization of its Craig's form are proposed by applying the composite rectangle and Simpson numerical integration rules, respectively. The proposed approximations are simple and accurate enough even with only a few terms of exponential functions, and they are particularly suitable for applications of averaging Q-function and the generalized Q-function over the fading distributions. As a result, the closed-form approximations of the SEP over the AWGN channel and fading multichannels are expressed as a finite sum of exponential functions and a finite sum of MGFs, respectively, such that it is convenient and rapid to evaluate the SEP performances. Both the simulation results and the approximations show excellent agreement with the exact analytical expressions. Springer Science+Business Media, LLC., 2012 Cross quadrature amplitude modulation (QAM) nationallicence Symbol error probability (SEP) nationallicence Maximal-ratio combining (MRC) nationallicence Approximation nationallicence Numerical integration rule nationallicence Fading channels nationallicence Yu Hua Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut Zhao Yanbo Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut Zhang Jun Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut Wang Yige Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut Wireless Personal Communications Springer US; http://www.springer-ny.com 69/4(2013-04-01), 1567-1581 0929-6212 69:4<1567 2013 69 11277 https://doi.org/10.1007/s11277-012-0651-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11277-012-0651-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yu Hua Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut NATIONALLICENCE 700 1- Zhao Yanbo Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut NATIONALLICENCE 700 1- Zhang Jun Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut NATIONALLICENCE 700 1- Wang Yige Guangdong Provincial Key Laboratory of Short-Range Wireless Detection and Communication, School of Electronic and Information Engineering, South China University of Technology, 510640, Guangzhou, China aut NATIONALLICENCE 773 0- Wireless Personal Communications Springer US; http://www.springer-ny.com 69/4(2013-04-01), 1567-1581 0929-6212 69:4<1567 2013 69 11277 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer