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Statistical Characterization and Performance Evaluation of \(\alpha -\eta -\mu\)/Inverse Gamma and \(\alpha -\kappa -\mu\)/Inverse Gamma Channels

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Abstract

In this paper, two new shadowed fading distributions \(\alpha -\eta -\mu\)/Inverse Gamma and \(\alpha -\kappa -\mu\)/Inverse Gamma are proposed to model wireless communication channel. Probability density functions (pdf), tth-moments and moment generating functions (MGF) of the instantaneous SNR for these channels have also been determined. Obtained statistics are applied to ascertain Amount of Fading (AoF), channel capacity per unit bandwidth and Average Symbol Error Rate (ASER). To judge the performance of multi-hop communication, Source to Sink Average Bit Error Rate (S2S-ABER) have been determined where independent and identical distributed and independent and non-identical distributed multi-hop links have been considered. The performance of these matrices are studied under various channel parameters and Monte Carlo simulations have been performed to validate the analytical expressions. Moreover, performance of multi-hop IEEE 802.15.4 Zigbee and IEEE 802.15.1 Bluetooth radios have also been analyzed over these channels.

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Notes

  1. Since due to shadowing, the average received signal power is not constant throughout the transmission, rather follows a particular probability distribution, the term conditional probability density is used.

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Acknowledgements

This publication is an outcome of the R&D work undertaken project under the Visvesvaraya Ph.D. Scheme of Ministry of Electronics & Information Technology, Government of India, being implemented by Digital India Corporation.

Funding

There is no funding. This publication is an outcome of the R&D work undertaken project under the Visvesvaraya Ph.D. Scheme of Ministry of Electronics & Information Technology, Government of India, being implemented by Digital India Corporation.

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  1. Department of Electronics and Communication Engineering, National Institute of Technology, Hamirpur, India

    Ashish Goswami & Ashok Kumar

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  1. Ashish Goswami
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Correspondence to Ashish Goswami.

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Goswami, A., Kumar, A. Statistical Characterization and Performance Evaluation of \(\alpha -\eta -\mu\)/Inverse Gamma and \(\alpha -\kappa -\mu\)/Inverse Gamma Channels. Wireless Pers Commun 124, 2313–2333 (2022). https://doi.org/10.1007/s11277-022-09466-8

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