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Erschienen in: Telecommunication Systems 2/2019

14.06.2018

Generalized carrier to interference ratio analysis for shotgun cellular systems in multiple dimensions over composite Rayleigh–Lognormal (Suzuki) fading

verfasst von: Ali Mohammad Khodadoust, Javad Khodadoust

Erschienen in: Telecommunication Systems | Ausgabe 2/2019

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Abstract

This paper analyzes the carrier-to-interference ratio (CIR) of the so-called shotgun cellular systems (SCSs) in \(\tau \) dimensions (\(\tau =1, 2,\) and 3). SCSs are wireless communication systems with randomly placed base stations (BSs) over the entire plane according to a Poisson point process in \(\tau \) dimensions. Such a system can model a dense cellular or wireless data network deployment, where locations of BSs end up being close to random due to constraints other than optimal coverage. In this paper we apply SCSs in \(\tau \) dimensions and also, in addition to path-loss and shadow fading, consider Rayleigh fading as a most commonly used distribution to model multi-path fading, and analyze the CIR over the composite fading channel [i.e., Rayleigh–Lognormal (or Suzuki) fading channel], and determine a generalized expression for the distribution of CIR and obtain the tail probability of CIR.

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Literatur
1.
Zurück zum Zitat Al-Ahmadi, S., & Yanikomeroglu, H. (2009). On the approximation of the generalized-K PDF by a gamma PDF using the moment matching method. In Proceedings of the IEEE wireless communications and networking conference (WCNC’09), Budapest, Hungary. https://doi.org/10.1109/WCNC.2009.4917849. Al-Ahmadi, S., & Yanikomeroglu, H. (2009). On the approximation of the generalized-K PDF by a gamma PDF using the moment matching method. In Proceedings of the IEEE wireless communications and networking conference (WCNC’09), Budapest, Hungary. https://​doi.​org/​10.​1109/​WCNC.​2009.​4917849.
2.
Zurück zum Zitat Andrews, J. G., Baccelli, F., & Ganti, R. K. (2011). A tractable approach to coverage and rate in cellular networks. IEEE Transactions on Communications, 59(11), 3122–3134.CrossRef Andrews, J. G., Baccelli, F., & Ganti, R. K. (2011). A tractable approach to coverage and rate in cellular networks. IEEE Transactions on Communications, 59(11), 3122–3134.CrossRef
3.
Zurück zum Zitat Atapattu, S., Tellambura, C., & Jiang, H. (2010). Representation of composite fading and shadowing distributions by using mixtures of Gamma distributions. In Proceedings of the wireless communications and networking conference (WCNC’10), Sydney, Australia. https://doi.org/10.1109/WCNC.2010.5506173. Atapattu, S., Tellambura, C., & Jiang, H. (2010). Representation of composite fading and shadowing distributions by using mixtures of Gamma distributions. In Proceedings of the wireless communications and networking conference (WCNC’10), Sydney, Australia. https://​doi.​org/​10.​1109/​WCNC.​2010.​5506173.
4.
Zurück zum Zitat Blanc, S. (2016). Physical layer security of wireless transmissions over fading channels. Ann Arbor: ProQuest Dissertations Publishing. Blanc, S. (2016). Physical layer security of wireless transmissions over fading channels. Ann Arbor: ProQuest Dissertations Publishing.
7.
Zurück zum Zitat Brown, T. X. (2000). Practical cellular performance bounds via shotgun cellular systems. IEEE Journal on Selected Areas in Communications, 18(11), 2443–2455.CrossRef Brown, T. X. (2000). Practical cellular performance bounds via shotgun cellular systems. IEEE Journal on Selected Areas in Communications, 18(11), 2443–2455.CrossRef
8.
Zurück zum Zitat Chauhan, P. S., & Soni, S. K. (2018). New analytical expressions for ASEP of modulation techniques with diversity over Lognormal fading channels with application to interference-limited environment. Wireless Personal Communications, 99(2), 695–716.CrossRef Chauhan, P. S., & Soni, S. K. (2018). New analytical expressions for ASEP of modulation techniques with diversity over Lognormal fading channels with application to interference-limited environment. Wireless Personal Communications, 99(2), 695–716.CrossRef
9.
Zurück zum Zitat Chauhan, P. S., Tiwari, D., & Soni, S. K. (2017). New analytical expressions for the performance metrics of wireless communication system over Weibull/Lognormal composite fading. AEU-International Journal of Electronics and Communications, 82, 397–405.CrossRef Chauhan, P. S., Tiwari, D., & Soni, S. K. (2017). New analytical expressions for the performance metrics of wireless communication system over Weibull/Lognormal composite fading. AEU-International Journal of Electronics and Communications, 82, 397–405.CrossRef
10.
Zurück zum Zitat Dhillon, H. S., & Andrews, J. G. (2014). Downlink rate distribution in heterogeneous cellular networks under generalized cell selection. IEEE Wireless Communications Letters, 3(1), 42–45.CrossRef Dhillon, H. S., & Andrews, J. G. (2014). Downlink rate distribution in heterogeneous cellular networks under generalized cell selection. IEEE Wireless Communications Letters, 3(1), 42–45.CrossRef
11.
Zurück zum Zitat Dinh, T. M. T., Nguyen, Q. T., & Sandrasegaran, K. (2017). A closed-form of cooperative detection probability using EGC-based soft decision under Suzuki fading. In Proceedings of the 11th international conference on signal processing and communication systems (ICSPCS’17), Surfers Paradise, Australia. https://doi.org/10.1109/ICSPCS.2017.8270508. Dinh, T. M. T., Nguyen, Q. T., & Sandrasegaran, K. (2017). A closed-form of cooperative detection probability using EGC-based soft decision under Suzuki fading. In Proceedings of the 11th international conference on signal processing and communication systems (ICSPCS’17), Surfers Paradise, Australia. https://​doi.​org/​10.​1109/​ICSPCS.​2017.​8270508.
12.
Zurück zum Zitat El-Bahaie, E. H., & Al-Hussaini, E. K. (2017). Novel results for the performance of single and double stages cognitive radio systems through Nakagami-m fading and log-normal shadowing. Telecommunication Systems, 65(4), 729–737.CrossRef El-Bahaie, E. H., & Al-Hussaini, E. K. (2017). Novel results for the performance of single and double stages cognitive radio systems through Nakagami-m fading and log-normal shadowing. Telecommunication Systems, 65(4), 729–737.CrossRef
13.
Zurück zum Zitat Hansen, F., & Meno, F. I. (1977). Mobile fading-rayleigh and lognormal superimposed. IEEE Transactions on Vehicular Technology, 26(4), 332–335.CrossRef Hansen, F., & Meno, F. I. (1977). Mobile fading-rayleigh and lognormal superimposed. IEEE Transactions on Vehicular Technology, 26(4), 332–335.CrossRef
14.
Zurück zum Zitat Keeler, H. P., BÅaszczyszyn, B. & Karray, M. K. (2013). SINR-based k-coverage probability in cellular networks with arbitrary shadowing. In Proceedings of the IEEE international symposium on information theory proceedings (ISIT’13), Istanbul, Turkey. https://doi.org/10.1109/ISIT.2013.6620410. Keeler, H. P., BÅaszczyszyn, B. & Karray, M. K. (2013). SINR-based k-coverage probability in cellular networks with arbitrary shadowing. In Proceedings of the IEEE international symposium on information theory proceedings (ISIT’13), Istanbul, Turkey. https://​doi.​org/​10.​1109/​ISIT.​2013.​6620410.
16.
Zurück zum Zitat Kibria, Mirza G., Villardi, G. P., Liao, W. S., Nguyen, K., Ishizu, K., & Kojima, F. (2017). Outage analysis of offloading in heterogeneous networks: Composite fading channels. IEEE Transactions on Vehicular Technology, 66(10), 8990–9004.CrossRef Kibria, Mirza G., Villardi, G. P., Liao, W. S., Nguyen, K., Ishizu, K., & Kojima, F. (2017). Outage analysis of offloading in heterogeneous networks: Composite fading channels. IEEE Transactions on Vehicular Technology, 66(10), 8990–9004.CrossRef
17.
Zurück zum Zitat Krstić, D., Suljović, S., Milić, D., Panić, S., & Stefanović, M. (2018). Outage probability of macrodiversity reception in the presence of Gamma long-term fading, Rayleigh short-term fading and Rician co-channel interference. Annals of Telecommunications. https://doi.org/10.1007/s12243-017-0593-4. Krstić, D., Suljović, S., Milić, D., Panić, S., & Stefanović, M. (2018). Outage probability of macrodiversity reception in the presence of Gamma long-term fading, Rayleigh short-term fading and Rician co-channel interference. Annals of Telecommunications. https://​doi.​org/​10.​1007/​s12243-017-0593-4.
18.
Zurück zum Zitat Kumar, N., & Bhatia, V. (2018). Performance evaluation of QAM schemes for multiple AF relay network under Rayleigh fading channels. Wireless Personal Communications, 99(1), 567–580.CrossRef Kumar, N., & Bhatia, V. (2018). Performance evaluation of QAM schemes for multiple AF relay network under Rayleigh fading channels. Wireless Personal Communications, 99(1), 567–580.CrossRef
19.
Zurück zum Zitat Lam, S. C., Sandrasegaran, K., & Ghosal, P. (2017). Performance analysis of frequency reuse for PPP networks in composite Rayleigh–Lognormal fading channel. Wireless Personal Communications, 96(1), 989–1006.CrossRef Lam, S. C., Sandrasegaran, K., & Ghosal, P. (2017). Performance analysis of frequency reuse for PPP networks in composite Rayleigh–Lognormal fading channel. Wireless Personal Communications, 96(1), 989–1006.CrossRef
20.
Zurück zum Zitat Laourine, Amine, Alouini, M. S., Affes, S., & Stephenne, A. (2009). On the performance analysis of composite multi-path/shadowing channels using the G-distribution. IEEE Transactions on Communications, 57(4), 1162–1170.CrossRef Laourine, Amine, Alouini, M. S., Affes, S., & Stephenne, A. (2009). On the performance analysis of composite multi-path/shadowing channels using the G-distribution. IEEE Transactions on Communications, 57(4), 1162–1170.CrossRef
21.
Zurück zum Zitat Macdonald, V. (1979). The cellular concept. The Bell System Technical Journal, 58, 15–41.CrossRef Macdonald, V. (1979). The cellular concept. The Bell System Technical Journal, 58, 15–41.CrossRef
22.
23.
Zurück zum Zitat Madhusudhanan, P., Restrepo, J. G., Liu, Y., Brown, T. X., & Baker, K. (2010). Generalized carrier to interference ratio analysis for the shotgun cellular system in multiple dimensions. CoRR. arXiv:1002.3943. Madhusudhanan, P., Restrepo, J. G., Liu, Y., Brown, T. X., & Baker, K. (2010). Generalized carrier to interference ratio analysis for the shotgun cellular system in multiple dimensions. CoRR. arXiv:​1002.​3943.
24.
25.
Zurück zum Zitat Madhusudhanan, P., Restrepo, J. G., Liu, Y. E., Brown, T. X., & Baker, K. R. (2012). Stochastic ordering based carrier-to-interference ratio analysis for the shotgun cellular systems. IEEE Wireless Communications Letters, 1(6), 565–568.CrossRef Madhusudhanan, P., Restrepo, J. G., Liu, Y. E., Brown, T. X., & Baker, K. R. (2012). Stochastic ordering based carrier-to-interference ratio analysis for the shotgun cellular systems. IEEE Wireless Communications Letters, 1(6), 565–568.CrossRef
26.
Zurück zum Zitat Madhusudhanan, P., Restrepo, J. G., Liu, Y., Brown, T. X., & Baker, K. R. (2014). Downlink performance analysis for a generalized shotgun cellular system. IRE Transactions on Wireless Communications, 13(12), 6684–6696.CrossRef Madhusudhanan, P., Restrepo, J. G., Liu, Y., Brown, T. X., & Baker, K. R. (2014). Downlink performance analysis for a generalized shotgun cellular system. IRE Transactions on Wireless Communications, 13(12), 6684–6696.CrossRef
27.
Zurück zum Zitat Populis, A. (1984). Probability, random variables and stochastic processes. New York: McGraw-Hill. Populis, A. (1984). Probability, random variables and stochastic processes. New York: McGraw-Hill.
28.
Zurück zum Zitat Reig, J., & Rubio, L. (2013). Estimation of the composite fast fading and shadowing distribution using the log-moments in wireless communications. IEEE Transactions on Wireless Communications, 12(8), 3672–3681.CrossRef Reig, J., & Rubio, L. (2013). Estimation of the composite fast fading and shadowing distribution using the log-moments in wireless communications. IEEE Transactions on Wireless Communications, 12(8), 3672–3681.CrossRef
30.
Zurück zum Zitat Singh, R., & Rawat, M. (2016). Closed-form distribution and analysis of a combined nakagami-Lognormal shadowing and unshadowing fading channel. Journal of Telecommunications and Information Technology, 4, 81–87. Singh, R., & Rawat, M. (2016). Closed-form distribution and analysis of a combined nakagami-Lognormal shadowing and unshadowing fading channel. Journal of Telecommunications and Information Technology, 4, 81–87.
32.
Zurück zum Zitat Tepedelenlioglu, C., Rajan, A., & Zhang, Y. (2011). Applications of stochastic ordering to wireless communications. IEEE Transactions on Wireless Communications, 10(12), 4249–4257.CrossRef Tepedelenlioglu, C., Rajan, A., & Zhang, Y. (2011). Applications of stochastic ordering to wireless communications. IEEE Transactions on Wireless Communications, 10(12), 4249–4257.CrossRef
33.
Zurück zum Zitat Tiwari, D., Soni, S., & Chauhan, P. S. (2017). A new closed-form expressions of channel capacity with MRC, EGC and SC over Lognormal fading channel. Wireless Personal Communications, 97(3), 4183–4197.CrossRef Tiwari, D., Soni, S., & Chauhan, P. S. (2017). A new closed-form expressions of channel capacity with MRC, EGC and SC over Lognormal fading channel. Wireless Personal Communications, 97(3), 4183–4197.CrossRef
34.
35.
Zurück zum Zitat Yilmaz, F., & Alouini, M. S. (2010). Extended generalized-K (EGK): a new simple and general model for composite fading channels. CoRR. arXiv:1012.2598. Yilmaz, F., & Alouini, M. S. (2010). Extended generalized-K (EGK): a new simple and general model for composite fading channels. CoRR. arXiv:​1012.​2598.
36.
Zurück zum Zitat Yoo, S.K., Sofotasios, P. C., Cotton, S. L., Matthaiou1, M., Valkama, M., & Karagiannidis, G. K. (2015). The \(\eta \) \(\mu \) / inverse gamma composite fading model. In Proceedings of the IEEE 26th annual international symposium on personal, indoor, and mobile radio communications (PIMRC’15), Hong Kong, China. https://doi.org/10.1109/PIMRC.2015.7343288. Yoo, S.K., Sofotasios, P. C., Cotton, S. L., Matthaiou1, M., Valkama, M., & Karagiannidis, G. K. (2015). The \(\eta \) \(\mu \) / inverse gamma composite fading model. In Proceedings of the IEEE 26th annual international symposium on personal, indoor, and mobile radio communications (PIMRC’15), Hong Kong, China. https://​doi.​org/​10.​1109/​PIMRC.​2015.​7343288.
Metadaten
Titel
Generalized carrier to interference ratio analysis for shotgun cellular systems in multiple dimensions over composite Rayleigh–Lognormal (Suzuki) fading
verfasst von
Ali Mohammad Khodadoust
Javad Khodadoust
Publikationsdatum
14.06.2018
Verlag
Springer US
Erschienen in
Telecommunication Systems / Ausgabe 2/2019
Print ISSN: 1018-4864
Elektronische ISSN: 1572-9451
DOI
https://doi.org/10.1007/s11235-018-0478-5

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