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Published in: Wireless Personal Communications 2/2020

23-06-2020

New Approximate Expressions for αημ and ακμ Fading Channels Subjected to Inverse Gaussian Shadowing With Applications

Authors: Ashish Goswami, Ashok Kumar

Published in: Wireless Personal Communications | Issue 2/2020

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Abstract

In this paper, new approximate expressions of probability density functions, tth-moments and moment generating functions of the instantaneous SNR for αημ and ακμ fading channels subjected to Inverse Gaussian shadowing have been derived. The obtained statistics have been applied to ascertain Amount of Fading (AoF), channel capacity per unit bandwidth, and Average Symbol Error Rate (ASER). The performance of these matrices has been studied under various channel parameters. To judge the performance of multi-hop communication, Source to Sink Average Bit Error Rate (S2S-ABER) has been calculated for two individual cases: (i) independent and identical distributed and (ii) independent and non-identical distributed multi-hop links. Moreover, the performance of multi-hop IEEE 802.15.4 Zigbee and IEEE 802.15.1 Bluetooth radios have also been analyzed over these channels. Simulations have been performed to validate the derived expressions.

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Literature
2.
go back to reference Al-Hmood, H. (2017). A mixture gamma distribution based performance analysis of switch and stay combining scheme over \(\alpha -\kappa -\mu \) shadowed fading channels. In 2017 annual conference on new trends in information communications technology applications (NTICT) (pp. 292–297). https://doi.org/10.1109/NTICT.2017.7976096 Al-Hmood, H. (2017). A mixture gamma distribution based performance analysis of switch and stay combining scheme over \(\alpha -\kappa -\mu \) shadowed fading channels. In 2017 annual conference on new trends in information communications technology applications (NTICT) (pp. 292–297). https://​doi.​org/​10.​1109/​NTICT.​2017.​7976096
3.
go back to reference Al-Hmood, H., & Al-Raweshidy, H. (2016). Unified modeling of composite \(kappa-mu/\)gamma, \(eta-mu\)/gamma, and \(alpha-mu/\)gamma fading channels using a mixture gamma distribution with applications to energy detection. IEEE Antennas and Wireless Propagation Letters, PP(99), 1–1. https://doi.org/10.1109/LAWP.2016.2558455.CrossRef Al-Hmood, H., & Al-Raweshidy, H. (2016). Unified modeling of composite \(kappa-mu/\)gamma, \(eta-mu\)/gamma, and \(alpha-mu/\)gamma fading channels using a mixture gamma distribution with applications to energy detection. IEEE Antennas and Wireless Propagation Letters, PP(99), 1–1. https://​doi.​org/​10.​1109/​LAWP.​2016.​2558455.CrossRef
8.
go back to reference Chauhan, P. S., Negi, P., & Soni, S. K. (2018). A unified approach to modelling of probability of detection over \(\alpha -\mu /{IG}\), \(\kappa -\mu /{IG}\), and \(\eta -\mu /{IG}\) composite fading channels with application to co-operative system. AEU-International Journal of Electronics and Communications, 87, 33–42. https://doi.org/10.1016/j.aeue.2018.01.035.CrossRef Chauhan, P. S., Negi, P., & Soni, S. K. (2018). A unified approach to modelling of probability of detection over \(\alpha -\mu /{IG}\), \(\kappa -\mu /{IG}\), and \(\eta -\mu /{IG}\) composite fading channels with application to co-operative system. AEU-International Journal of Electronics and Communications, 87, 33–42. https://​doi.​org/​10.​1016/​j.​aeue.​2018.​01.​035.CrossRef
12.
13.
go back to reference Gradshteyn, I., & Ryzhik, I. (2007). Table of integrals, series, and products. Table of integrals, series, and products series. London: Elsevier Science.MATH Gradshteyn, I., & Ryzhik, I. (2007). Table of integrals, series, and products. Table of integrals, series, and products series. London: Elsevier Science.MATH
14.
go back to reference Kumar, S., Chauhan, P. S., Raghuwanshi, P., & Kaur, M. (2018). Ed performance over \(\alpha -\eta -\mu / {IG}\) and \(\alpha -\kappa -\mu / {IG}\) generalized fading channels with diversity reception and cooperative sensing: A unified approach. AEU-International Journal of Electronics and Communications, 97, 273–279. https://doi.org/10.1016/j.aeue.2018.10.027.CrossRef Kumar, S., Chauhan, P. S., Raghuwanshi, P., & Kaur, M. (2018). Ed performance over \(\alpha -\eta -\mu / {IG}\) and \(\alpha -\kappa -\mu / {IG}\) generalized fading channels with diversity reception and cooperative sensing: A unified approach. AEU-International Journal of Electronics and Communications, 97, 273–279. https://​doi.​org/​10.​1016/​j.​aeue.​2018.​10.​027.CrossRef
16.
go back to reference Marković, A., Perić, Z., sić, D. D., Smilić, M., & Jaksić, B. (2015). Level crossing rate of macrodiversity system over composite gamma shadowed alpha-kappa-mu multipath fading channel. Facta Universitatis, Series: Automatic Control and Robotics, 14(2), 99–109.MathSciNet Marković, A., Perić, Z., sić, D. D., Smilić, M., & Jaksić, B. (2015). Level crossing rate of macrodiversity system over composite gamma shadowed alpha-kappa-mu multipath fading channel. Facta Universitatis, Series: Automatic Control and Robotics, 14(2), 99–109.MathSciNet
22.
go back to reference Sofotasios, P.C., & Freear, S. (2011b). On the \(\kappa -\mu \)/gamma composite distribution: A generalized multipath/shadowing fading model. In 2011 SBMO/IEEE MTT-S international microwave and optoelectronics conference (IMOC 2011) (pp. 390–394). https://doi.org/10.1109/IMOC.2011.6169398 Sofotasios, P.C., & Freear, S. (2011b). On the \(\kappa -\mu \)/gamma composite distribution: A generalized multipath/shadowing fading model. In 2011 SBMO/IEEE MTT-S international microwave and optoelectronics conference (IMOC 2011) (pp. 390–394). https://​doi.​org/​10.​1109/​IMOC.​2011.​6169398
23.
go back to reference Sofotasios, P.C., & Freear, S. (2015). A generalized non-linear composite fading model. CoRR abs/1505.03779. Sofotasios, P.C., & Freear, S. (2015). A generalized non-linear composite fading model. CoRR abs/1505.03779.
24.
go back to reference Sofotasios, P.C., Tsiftsis, T.A., Ghogho, M., Wilhelmsson, L.R., & Valkama, M. (2013). The \(\eta -\mu \)/ig distribution: A novel physical multipath/shadowing fading model. In 2013 IEEE international conference on communications (ICC) (pp. 5715–5719). https://doi.org/10.1109/ICC.2013.6655506 Sofotasios, P.C., Tsiftsis, T.A., Ghogho, M., Wilhelmsson, L.R., & Valkama, M. (2013). The \(\eta -\mu \)/ig distribution: A novel physical multipath/shadowing fading model. In 2013 IEEE international conference on communications (ICC) (pp. 5715–5719). https://​doi.​org/​10.​1109/​ICC.​2013.​6655506
25.
go back to reference Stamenović, G., Panić, S. R., Rančić, D., & Stefanović, Č. (2014). Stefanović M (2014) Performance analysis of wireless communication system in general fading environment subjected to shadowing and interference. EURASIP Journal on Wireless Communications and Networking, 1, 124. https://doi.org/10.1186/1687-1499-2014-124.CrossRef Stamenović, G., Panić, S. R., Rančić, D., & Stefanović, Č. (2014). Stefanović M (2014) Performance analysis of wireless communication system in general fading environment subjected to shadowing and interference. EURASIP Journal on Wireless Communications and Networking, 1, 124. https://​doi.​org/​10.​1186/​1687-1499-2014-124.CrossRef
26.
go back to reference Stüber, G. (2011). Principles of mobile communication. Berlin: Springer. Stüber, G. (2011). Principles of mobile communication. Berlin: Springer.
27.
go back to reference Yoo, S.K., Cotton, S.L., Sofotasios, P.C., Matthaiou, M., Valkama, M., & Karagiannidis, G.K. (2015a). The \(\kappa -\mu \)/ inverse gamma fading model. In 2015 IEEE 26th annual international symposium on personal, indoor, and mobile radio communications (PIMRC) (pp. 425–429). https://doi.org/10.1109/PIMRC.2015.7343336 Yoo, S.K., Cotton, S.L., Sofotasios, P.C., Matthaiou, M., Valkama, M., & Karagiannidis, G.K. (2015a). The \(\kappa -\mu \)/ inverse gamma fading model. In 2015 IEEE 26th annual international symposium on personal, indoor, and mobile radio communications (PIMRC) (pp. 425–429). https://​doi.​org/​10.​1109/​PIMRC.​2015.​7343336
28.
go back to reference Yoo, S.K., Sofotasios, P.C., Cotton, S.L., Matthaiou, M., Valkama, M., & Karagiannidis, G.K. (2015b). The \(\eta -\mu \) / inverse gamma composite fading model. In 2015 IEEE 26th annual international symposium on personal, indoor, and mobile radio communications (PIMRC) (pp. 166–170). https://doi.org/10.1109/PIMRC.2015.7343288. Yoo, S.K., Sofotasios, P.C., Cotton, S.L., Matthaiou, M., Valkama, M., & Karagiannidis, G.K. (2015b). The \(\eta -\mu \) / inverse gamma composite fading model. In 2015 IEEE 26th annual international symposium on personal, indoor, and mobile radio communications (PIMRC) (pp. 166–170). https://​doi.​org/​10.​1109/​PIMRC.​2015.​7343288.
29.
go back to reference Yoo, S. K., Cotton, S. L., Sofotasios, P. C., & Freear, S. (2016). Shadowed fading in indoor off-body communication channels: A statistical characterization using the \(\kappa \)-\(\mu \) /gamma composite fading model. IEEE Transactions on Wireless Communications, 15(8), 5231–5244. https://doi.org/10.1109/TWC.2016.2555795.CrossRef Yoo, S. K., Cotton, S. L., Sofotasios, P. C., & Freear, S. (2016). Shadowed fading in indoor off-body communication channels: A statistical characterization using the \(\kappa \)-\(\mu \) /gamma composite fading model. IEEE Transactions on Wireless Communications, 15(8), 5231–5244. https://​doi.​org/​10.​1109/​TWC.​2016.​2555795.CrossRef
30.
go back to reference Yoo, S. K., Bhargav, N., Cotton, S. L., Sofotasios, P. C., Matthaiou, M., Valkama, M., et al. (2018). The \(\kappa \)-\(\mu \)/inverse gamma and \(\eta \)-\(\mu \)/inverse gamma composite fading models: Fundamental statistics and empirical validation. IEEE Transactions on Communications,. https://doi.org/10.1109/TCOMM.2017.2780110.CrossRef Yoo, S. K., Bhargav, N., Cotton, S. L., Sofotasios, P. C., Matthaiou, M., Valkama, M., et al. (2018). The \(\kappa \)-\(\mu \)/inverse gamma and \(\eta \)-\(\mu \)/inverse gamma composite fading models: Fundamental statistics and empirical validation. IEEE Transactions on Communications,. https://​doi.​org/​10.​1109/​TCOMM.​2017.​2780110.CrossRef
Metadata
Title
New Approximate Expressions for α–η–μ and α–κ–μ Fading Channels Subjected to Inverse Gaussian Shadowing With Applications
Authors
Ashish Goswami
Ashok Kumar
Publication date
23-06-2020
Publisher
Springer US
Published in
Wireless Personal Communications / Issue 2/2020
Print ISSN: 0929-6212
Electronic ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-020-07617-3

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