Simple and accurate SEP approximation of hexagonal-QAM in AWGN channel and its application in parametric $\alpha -\mu $α−μ, $\eta -\mu $η−μ, $\kappa -\mu $κ−μ fading, and log-normal shadowing

In this study, the authors propose a simple yet tighter approximations for the special two-dimensional Gaussian Q functions using the Trapezoidal rule of numerical integration. This enables a simplified and accurate symbol error probability (SEP) approximation of the hexagonal-quadrature amplitude m...

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Bibliographic Details
Published in:IET communications 2018-07, Vol.12 (12), p.1454-1459
Main Authors: Sadhwani, Dharmendra, Yadav, Ram Narayan, Aggarwal, Supriya, Raghuvanshi, Deepak Kumar
Format: Article
Language:English
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Research Article
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Summary:In this study, the authors propose a simple yet tighter approximations for the special two-dimensional Gaussian Q functions using the Trapezoidal rule of numerical integration. This enables a simplified and accurate symbol error probability (SEP) approximation of the hexagonal-quadrature amplitude modulation (HQAM) in additive white Gaussian noise channel. The proposed approximation further simplifies the SEP calculation of HQAM in parametric $\alpha -\mu $α−μ, $\eta -\mu $η−μ, and $\kappa -\mu $κ−μ fading distributions. Also, the SEP of HQAM over log-normal shadowing is calculated in this study. The accuracy of the analytical framework is verified using computer simulations.
ISSN:1751-8628
1751-8636
DOI:10.1049/iet-com.2017.1007