Dual-branch SC wireless systems with HQAM for beyond 5G over η-μ fading channels

In this study, the performance of hexagonal quadrature amplitude modulation (HQAM) for a dual-branch selection combining (SC) receiver for beyond fifth-generation (B5G) is analyzed in detail. For general applicability, the links are modeled with η-μ fading channels. In this context, analytical expressions of error probability (EP) are derived in terms of the Chernoff, Chiani, Prony (2 and 3 terms), and Trapezoidal approximations for Gaussian Q -function. For the high signal to noise ratio (SNR) analysis, asymptotic EP expression is also derived by using the Chernoff approximation. Further, for the comparison, the analytical EP expressions with rectangular QAM and quadrature phase-shift keying modulation schemes are obtained by using the Chiani approximation. Moreover, a comprehensive work of various modulation schemes is presented and the effects of fading parameters, type of Gaussian Q -function approximations, and average SNR values of first and second links are highlighted on the EP performance. Finally, to show the accuracy of the proposed analytical derivations, some results for the exact simulations and numerical results are demonstrated.

[1]  I. M. Jacobs,et al.  Principles of Communication Engineering , 1965 .

[2]  Theodore S. Rappaport,et al.  Millimeter Wave Channel Modeling and Cellular Capacity Evaluation , 2013, IEEE Journal on Selected Areas in Communications.

[3]  Geoffrey Ye Li,et al.  An Overview of Massive MIMO: Benefits and Challenges , 2014, IEEE Journal of Selected Topics in Signal Processing.

[4]  Sudipta Sahana,et al.  A Conceptual Framework Towards Implementing a Cloud-Based Dynamic Load Balancer Using a Weighted Round-Robin Algorithm , 2020, Int. J. Cloud Appl. Comput..

[5]  Mehmet Bilim,et al.  QAM signaling over κ-μ shadowed fading channels , 2019, Phys. Commun..

[6]  Jeffrey G. Andrews,et al.  What Will 5G Be? , 2014, IEEE Journal on Selected Areas in Communications.

[7]  Balaji Sundar Rajan,et al.  Fast-decodable MIDO codes with large coding gain , 2013, 2013 IEEE International Symposium on Information Theory.

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

[9]  Zhibo Wu,et al.  On the Conceptualization of Elastic Service Evaluation in Cloud Computing , 2019, J. Inf. Technol. Res..

[10]  Mehmet Bilim Uplink communications with AWGGN over non-homogeneous fading channels , 2020, Phys. Commun..

[11]  Vimal Bhatia,et al.  On ASER Analysis of Energy Efficient Modulation Schemes for a Device-to-Device MIMO Relay Network , 2020, IEEE Access.

[12]  Juan Manuel Romero-Jerez,et al.  Performance of Selection Combining Diversity in $\eta{-}\mu$ Fading Channels With Integer Values of $\mu$ , 2015, IEEE Transactions on Vehicular Technology.

[13]  Mazen O. Hasna,et al.  Physical Layer Security for TAS/MRC Systems With and Without Co-Channel Interference Over $\eta$–$\mu$ Fading Channels , 2018, IEEE Transactions on Vehicular Technology.

[14]  Jae Hong Lee,et al.  On the Use of Hexagonal Constellation for Peak-to-Average Power Ratio Reduction of an ODFM Signal , 2008, IEEE Transactions on Wireless Communications.

[15]  Mohamed-Slim Alouini,et al.  On Performance of Hexagonal, Cross, and Rectangular QAM for Multi-Relay Systems , 2019, IEEE Access.

[16]  Luca Rugini,et al.  Symbol Error Probability of Hexagonal QAM , 2016, IEEE Communications Letters.

[17]  Norman C. Beaulieu,et al.  Prony and Polynomial Approximations for Evaluation of the Average Probability of Error Over Slow-Fading Channels , 2009, IEEE Transactions on Vehicular Technology.

[18]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[19]  A. Gnauck,et al.  28-Gbaud InP square or hexagonal 16-QAM modulator , 2011, 2011 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference.

[20]  Mohamed-Slim Alouini,et al.  What should 6G be? , 2019 .

[21]  G. David Forney,et al.  Efficient Modulation for Band-Limited Channels , 1984, IEEE J. Sel. Areas Commun..

[22]  Shuangfeng Han,et al.  Non-orthogonal multiple access for 5G: solutions, challenges, opportunities, and future research trends , 2015, IEEE Communications Magazine.

[23]  Dharmendra Sadhwani,et al.  Simple and accurate SEP approximation of hexagonal-QAM in AWGN channel and its application in parametric α - μ , η - μ , κ - μ fading, and log-normal shadowing , 2018, IET Commun..

[24]  Mehmet Bilim,et al.  A Closed-Form MGF Expression of Instantaneous SNR for Weibull Fading Channels , 2014, Wirel. Pers. Commun..

[25]  Lei Chen,et al.  Dual-Hop Cognitive Amplify-and-Forward Relaying Networks Over $\eta-\mu$ Fading Channels , 2016, IEEE Transactions on Vehicular Technology.

[26]  Dharmendra Sadhwani,et al.  Simple and Tightly Approximated Integrals Over $\kappa$ -$\mu$ Shadowed Fading Channel With Applications , 2018, IEEE Transactions on Vehicular Technology.

[27]  Praveen Kumar Singya,et al.  Performance analysis of QAM schemes for non-regenerative cooperative MIMO network with transmit antenna selection , 2019, AEU - International Journal of Electronics and Communications.

[28]  Jan Sykora,et al.  Hexagonal Constellations for Adaptive Physical-Layer Network Coding 2-Way Relaying , 2014, IEEE Communications Letters.

[29]  Kostas P. Peppas,et al.  Dual-Hop Relaying Communications with Cochannel Interference Over $\eta$ - /spl mu/ Fading Channels , 2013, IEEE Transactions on Vehicular Technology.

[30]  Qiao Li,et al.  Spectrum prediction and aggregation strategy in multi-user cooperative relay networks , 2019 .

[31]  Mehmet Bilim,et al.  On the analysis of achievable rate for NOMA networks with cooperative users over κ-μ shadowed fading channels , 2019, Int. J. Commun. Syst..

[32]  Mehmet Bilim,et al.  Average Symbol Error Rate Analysis of QAM Schemes Over Millimeter Wave Fluctuating Two-Ray Fading Channels , 2019, IEEE Access.

[33]  H. Vincent Poor,et al.  Cooperative Non-Orthogonal Multiple Access in 5G Systems , 2015, IEEE Communications Letters.

[34]  A. Lee Swindlehurst,et al.  Millimeter-wave massive MIMO: the next wireless revolution? , 2014, IEEE Communications Magazine.

[35]  Praveen Kumar Singya,et al.  On ASER performance of higher order QAM schemes in two-way multiple-relay networks under imperfect CSI , 2020, IET Commun..

[36]  Pingzhi Fan,et al.  On the Performance of Non-Orthogonal Multiple Access in 5G Systems with Randomly Deployed Users , 2014, IEEE Signal Processing Letters.

[37]  Theodore S. Rappaport,et al.  Millimeter Wave Mobile Communications for 5G Cellular: It Will Work! , 2013, IEEE Access.

[38]  Dharmendra Sadhwani,et al.  Tighter Bounds on the Gaussian $Q$ Function and Its Application in Nakagami- ${m}$ Fading Channel , 2017, IEEE Wireless Communications Letters.

[39]  Hideki Ochiai,et al.  A multilevel coded modulation approach for hexagonal signal constellation , 2009, IEEE Transactions on Wireless Communications.

[40]  M. Bilim A performance study on diversity receivers over κ-μ shadowed fading channels , 2019 .

[41]  Vimal Bhatia,et al.  On Impact of Imperfect CSI Over Hexagonal QAM for TAS/MRC-MIMO Cooperative Relay Network , 2019, IEEE Communications Letters.

[42]  H. Vincent Poor,et al.  Application of Non-Orthogonal Multiple Access in LTE and 5G Networks , 2015, IEEE Communications Magazine.

[43]  Wai Ho Mow,et al.  Optimal Two-Dimensional Lattices for Precoding of Linear Channels , 2013, IEEE Transactions on Wireless Communications.

[44]  AKHIL GUPTA,et al.  A Survey of 5G Network: Architecture and Emerging Technologies , 2015, IEEE Access.

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