An Approximate Error Expression for RQAM Scheme under α-η-µ Fading Conditions

In this paper, average symbol error rate (ASER) performance of rectangular quadrature amplitude modulation (RQAM) scheme is analyzed over α-η-µ fading channels. First, an ASER expression is derived based on Chernoff approximation of Gaussian Q-function. Then, an asymptotic ASER formula is obtained for analyzing system behavior at high signal-to-noise ratio (SNR) regime. The ASER performance is presented for different modulation levels and fading parameter values. In addition, relative truncation error (RTE) is illustrated in order to determine how many terms are needed for the computation of proposed expression. It is shown that analytical results are in close agreement with exact results.

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D. Dixit, , P.R. Sahu, “Performance analysis of rectangular QAM with SC receiver over Nakagami-m fading channels”, IEEE Communications Letters, Vol.18, No.7, 2014, pp.1262-1265.
D. Dixit, P. R. Sahu, “Symbol error rate of rectangular QAM with best-relay selection in cooperative systems over Rayleigh fading channels”, IEEE Communications Letters, Vol.16, No.4, 2012, pp.466-469.
G. K. Karagiannidis, “On the symbol error probability of general order rectangular QAM in Nakagami-m fading”, IEEE Communications Letters, Vol.10, No.11, 2006, pp.745-747.
X. Lei, P. Fan, L. Hao, “Exact symbol error probability of general order rectangular QAM with MRC diversity reception over Nakagami-m fading channels”, IEEE Communications Letters, Vol.11, No.12, 2007, pp.958-960.
N. Kumar, P. K. Singya, V. Bhatia, “ASER analysis of hexagonal and rectangular QAM schemes in multiple-relay networks”, IEEE Transactions on Vehicular Technology, Vol.67, No.2, 2018, pp.1815-1819.
N. Kumar, V. Bhatia, “Exact ASER analysis of rectangular QAM in two-way relaying networks over Nakagami-m fading channels”, IEEE Wireless Communications Letters, Vol.5, No.5, 2016, pp.548-551.
V. Asghari, D.B. da Costa, S. Aissa, “Symbol error probability of rectangular QAM in MRC systems with correlated η-µ fading channels”, IEEE Transactions on Vehicular Technology, Vol.59, No.3, 2010, pp.1497-1503.
D. Dixit, P.R. Sahu, “Performance of QAM signaling over TWDP fading channels”, IEEE Transactions on Wireless Communications, Vol.12, No.4, 2013, pp.1794-1799.
N. Kumar, V. Bhatia, D. Dixit, “Performance analysis of QAM in amplify-and-forward cooperative communication networks over Rayleigh fading channels”, AEU-International Journal of Electronics and Communications, Vol.72, 2017, pp.86-94.
P. R. Singya, N. Kumar, V. Bhatia, “Impact of imperfect CSI on ASER of hexagonal and rectangular QAM for AF relaying network”, IEEE Communications Letters, Vol.22, No.2, 2018, pp.428-431.
N. Kapucu, M. Bilim, I. Develi, “Outage performance of cooperative DS-CDMA systems with best path selection over α-η-µ fading channels”, Electronics Letters, Vol.53, No.11, 2017, pp.752-754.
O.S. Badarneh, M.S. Aloqlah, “Performance analysis of digital communication systems over α-η-μ fading channels”, IEEE Transactions on Vehicular Technology, Vol.65, No.10, 2016, pp.7972-7981.
J. M. Moualeu, D. B. da Costa, W. Hamouda, U. S. Dias, R. A. A. de Souza, “Physical layer security over α-κ-μ and α-η-μ fading channels”, IEEE Transactions on Vehicular Technology, Vol.68, No.1, 2019, pp.1025-1029.
A. M. Magableh, T. Aldalgamouni, S. Mater, O. S. Badarneh, “Ergodic capacity and SNR analysis for dual hop amplify and forward cooperative communication systems over α-η-μ channels”, IEEE Transactions on Vehicular Technology, Vol.67, No.12, 2018, pp.12384 -12388.
N. Kapucu, M. Bilim, “Analysis of analytical capacity for Fisher– Snedecor F fading channels with different transmission schemes”, Electronics Letters, Vol.55, No.5, 2019, pp.283-285.
M.K. Simon, M.-S. Alouini, Digital Communication over Fading Channels, John Wiley & Sons, 2000.
I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, 2000.
S.S. Soliman, N.C. Beaulieu, “The bottleneck effect of Rician fading in dissimilar dual-hop AF relaying systems”, IEEE Transactions on Vehicular Technology, Vol.63, No.4, 2014, pp.1957-1965.