QAM signaling over κ-μ shadowed fading channels

Abstract In this study, average symbol error rate (ASER) expressions for rectangular quadrature amplitude modulation (RQAM) and cross quadrature amplitude modulation (XQAM) over κ − μ shadowed fading are proposed by considering two different system models. In the first system model, a single-input–single-output (SISO) scheme is considered while a multiple-input–multiple-output (MIMO) with single transmit antenna selection and maximal ratio combining (TAS/MRC) is investigated as a second system model. First, the exact, approximate and asymptotic ASER expressions of RQAM and XQAM for a SISO system model are proposed based on probability density function (PDF) of instantaneous signal-to-noise ratio (SNR). Second, ASER expressions of RQAM and XQAM schemes for a MIMO system with TAS/MRC are obtained by using the PDF of instantaneous SNR at the receiver side. Then, ASER performances of RQAM and XQAM for the considered two system models are compared in the presence of different fading configurations. Finally, our numerical results illustrate that the analytical ASER expressions proposed in this study are well agreement with their simulations.

[1]  Victor Adamchik,et al.  The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system , 1990, ISSAC '90.

[2]  Sofiène Affes,et al.  Closed-Form CRLBs for CFO and Phase Estimation From Turbo-Coded Square-QAM-Modulated Transmissions , 2015, IEEE Transactions on Wireless Communications.

[3]  P. R. Sahu,et al.  Exact Closed-Form ABER for Multi-Hop Regenerative Relay Systems Over $\kappa$ – $\mu$ Fading , 2017, IEEE Wireless Communications Letters.

[4]  Branka Vucetic,et al.  Error performance of maximal-ratio combining with transmit antenna selection in flat Nakagami-m fading channels , 2006, IEEE Transactions on Wireless Communications.

[5]  José F. Paris Statistical Characterization of $\kappa{ - }\mu$ Shadowed Fading , 2014, IEEE Transactions on Vehicular Technology.

[6]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[7]  Himal A. Suraweera,et al.  Performance analysis of QAM in a two-wave with diffuse power fading environment , 2008, IEEE Communications Letters.

[8]  Marco Chiani,et al.  New exponential bounds and approximations for the computation of error probability in fading channels , 2003, IEEE Trans. Wirel. Commun..

[9]  Norman C. Beaulieu,et al.  A useful integral for wireless communication theory and its application to rectangular signaling constellation error rates , 2006, IEEE Transactions on Communications.

[10]  Kerstin Vogler,et al.  Table Of Integrals Series And Products , 2016 .

[11]  P. R. Sahu,et al.  Performance Analysis of Rectangular QAM With SC Receiver Over Nakagami- $m$ Fading Channels , 2014, IEEE Communications Letters.

[12]  Lingjiang Kong,et al.  Two useful integrals involving generalised Marcum Q-function , 2012 .

[13]  P. R. Sahu,et al.  Performance of QAM Signaling over TWDP Fading Channels , 2013, IEEE Transactions on Wireless Communications.

[14]  Hua Yu,et al.  On the Error Probability of Cross-QAM With MRC Reception Over Generalized $\eta$-$\mu$ Fading Channels , 2011, IEEE Transactions on Vehicular Technology.

[15]  Simon L. Cotton,et al.  Human Body Shadowing in Cellular Device-to-Device Communications: Channel Modeling Using the Shadowed $\kappa-\mu$ Fading Model , 2015, IEEE Journal on Selected Areas in Communications.

[16]  George P. Efthymoglou,et al.  SEP of rectangular QAM in composite fading channels , 2015 .

[17]  N. Kapucu,et al.  Analysis of analytical capacity for Fisher–Snedecor F fading channels with different transmission schemes , 2019, Electronics Letters.

[18]  M.D. Yacoub,et al.  The κ-μ distribution and the η-μ distribution , 2007, IEEE Antennas and Propagation Magazine.

[19]  R. Yadav,et al.  A simplified exact expression of SEP for cross QAM in AWGN channel from M × N rectangular QAM and its usefulness in Nakagami-m fading channel , 2017 .

[20]  Ijaz Mansoor Qureshi,et al.  Blind Equalization of Cross-QAM Signals , 2006, IEEE Signal Processing Letters.