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Wireless Communications and Mobile Computing
Volume 2017, Article ID 6394653, 15 pages
https://doi.org/10.1155/2017/6394653
Research Article

Modeling of Non-WSSUS Double-Rayleigh Fading Channels for Vehicular Communications

1Faculty of Science, Universidad Autónoma de San Luis Potosí, Av. Salvador Nava Martinez s/n, 78290 San Luis Potosí, SLP, Mexico
2Department of Engineering, Universidad de Quintana Roo, Blvd. Bahía Esq. Ignacio Comonfort s/n, 77019 Chetumal, QR, Mexico

Correspondence should be addressed to Carlos A. Gutiérrez; xm.plsau.cf@zerreitugac

Received 29 April 2017; Revised 14 July 2017; Accepted 1 August 2017; Published 3 October 2017

Academic Editor: Xianfu Lei

Copyright © 2017 Carlos A. Gutiérrez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. Araniti, C. Campolo, M. Condoluci, A. Iera, and A. Molinaro, “LTE for vehicular networking: a survey,” IEEE Communications Magazine, vol. 51, no. 5, pp. 148–157, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. G. Karagiannis, O. Altintas, E. Ekici et al., “Vehicular networking: a survey and tutorial on requirements, architectures, challenges, standards and solutions,” IEEE Communications Surveys and Tutorials, vol. 13, no. 4, pp. 584–616, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. J. B. Kenney, “Dedicated short-range communications (DSRC) standards in the United States,” Proceedings of the IEEE, vol. 99, no. 7, pp. 1162–1182, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. P. Bello, “Characterization of randomly time-variant linear channels,” IEEE Transactions on Communications, vol. 11, no. 4, pp. 360–393, 1963. View at Publisher · View at Google Scholar
  5. H. Schulze and C. Lüders, Theory and Applications of OFDM and CDMA, John Wiley & Sons, Ltd, Chichester, UK, 2005. View at Publisher · View at Google Scholar
  6. A. Molisch, Wireless Communications, John Wiley and Sons, Chichester, UK, 2005.
  7. N. Costa and S. Haykin, Multiple-Input, Multiple-Output Channel Models: Theory and Practice, Wiley, New York, USA, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. C. F. Mecklenbraüker, A. F. Molisch, J. Karedal et al., “Vehicular channel characterization and its implications for wireless system design and performance,” Proceedings of the IEEE, vol. 99, no. 7, pp. 1189–1212, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. R. H. Clarke, “A statistical theory of mobile-radio reception,” The Bell System Technical Journal, vol. 47, no. 6, pp. 957–1000, 1968. View at Publisher · View at Google Scholar
  10. O. Renaudin, V.-M. Kolmonen, P. Vainikainen, and C. Oestges, “Non-stationary narrowband MIMO inter-vehicle channel characterization in the 5-GHz band,” IEEE Transactions on Vehicular Technology, vol. 59, no. 4, pp. 2007–2015, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. L. Bernadó, T. Zemen, F. Tufvesson, A. F. Molisch, and C. F. Mecklenbräuker, “The (in-) validity of the WSSUS assumption in vehicular radio channels,” in Proceedings of the IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '12), pp. 1757–1762, Sydney, NSW, Australia, September 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Roivainen, P. Jayasinghe, J. Meinilau, V. Hovinen, and M. Latva-Aho, “Vehicle-to-vehicle radio channel characterization in urban environment at 2.3 GHz and 5.25 GHz,” in Proceedings of the 2014 25th IEEE Annual International Symposium on Personal, Indoor, and Mobile Radio Communication, IEEE PIMRC 2014, pp. 63–67, Washington, DC, USA, September 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. D. W. Matolak and J. Frolik, “Worse-than-rayleigh fading: experimental results and theoretical models,” IEEE Communications Magazine, vol. 49, no. 4, pp. 140–146, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. L. Rubio, J. Reig, V. M. Rodrigo-Peñarrocha, H. Fernández, and S. Loredo, “Analysis of small-scale fading distributions in vehicular-to-vehicular communications,” Mobile Information Systems, vol. 2016, Article ID 9584815, 7 pages, 2016. View at Publisher · View at Google Scholar
  15. P. S. Bithas, K. Maliatsos, and A. G. Kanatas, “The Bivariate Double Rayleigh Distribution for Multichannel Time-Varying Systems,” IEEE Wireless Communications Letters, vol. 5, no. 5, pp. 524–527, 2016. View at Publisher · View at Google Scholar · View at Scopus
  16. B. Talha and M. Pätzold, “A geometrical three-ring-based model for MIMO mobile-to-mobile fading channels in cooperative networks,” Eurasip Journal on Advances in Signal Processing, vol. 2011, Article ID 892871, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. J. Karedal, F. Tufvesson, N. Czink et al., “A geometry-based stochastic MIMO model for vehicle-to-vehicle communications,” IEEE Transactions on Wireless Communications, vol. 8, no. 7, pp. 3646–3657, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Walter, D. Shutin, and U.-C. Fiebig, “Delay-dependent doppler probability density functions for vehicle-to-vehicle scatter channels,” IEEE Transactions on Antennas and Propagation, vol. 62, no. 4, pp. 2238–2249, 2014. View at Publisher · View at Google Scholar · View at Scopus
  19. Y. Yuan, C.-X. Wang, Y. He, M. M. Alwakeel, and E.-H. M. Aggoune, “3D Wideband Non-Stationary Geometry-Based Stochastic Models for Non-Isotropic MIMO Vehicle-to-Vehicle Channels,” IEEE Transactions on Wireless Communications, vol. 14, no. 12, pp. 6883–6895, 2015. View at Publisher · View at Google Scholar · View at Scopus
  20. C. A. Gutierrez, M. Patzold, W. Dahech, and N. Youssef, “A Non-WSSUS Mobile-to-Mobile Channel Model Assuming Velocity Variations of the Mobile Stations,” in Proceedings of the 2017 IEEE Wireless Communications and Networking Conference (WCNC), pp. 1–6, San Francisco, CA, USA, March 2017. View at Publisher · View at Google Scholar
  21. J. T. Gutiérrez-Mena, C. A. Gutiérrez, J. M. Luna-Rivera, D. U. Campos-Delgado, and J. V. Castillo, “Geometry-based statistical modeling of non-stationary MIMO vehicle-to-vehicle channels,” in Proceedings of the 5th ACM Symposium on Development and Analysis of Intelligent Vehicular Networks and Applications, DIVANet 2015, pp. 85–92, Cancun, Mexico, November 2015. View at Publisher · View at Google Scholar · View at Scopus
  22. C. A. Gutiérrez, M. Luna-Rivera, and D. U. Campos-Delgado, “Modeling of non-stationary double-Rayleigh fading channels for mobile-to-mobile communications,” in Proceedings of the 22nd European Wireless Conference, EW 2016, pp. 131–136, Oulu, Finland, May 2016. View at Scopus
  23. W. Dahech, M. Pätzold, C. A. Gutiérrez, and N. Youssef, “A Non-Stationary Mobile-to-Mobile Channel Model Allowing for Velocity and Trajectory Variations of the Mobile Stations,” IEEE Transactions on Wireless Communications, vol. 16, no. 3, pp. 1987–2000, 2017. View at Publisher · View at Google Scholar · View at Scopus
  24. A. G. Zajić and G. L. Stüber, “Three-dimensional modeling and simulation of wideband MIMO mobile-to-mobile channels,” IEEE Transactions on Wireless Communications, vol. 8, no. 3, pp. 1260–1275, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. J. Chen and T. G. Pratt, “A three-dimensional geometry-based statistical model of 2×2 dual-polarized MIMO mobile-to-mobile wideband channels,” Modelling and Simulation in Engineering, vol. 2012, Article ID 756508, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. X. Cheng, Q. Yao, M. Wen, C. Wang, L. Song, and B. Jiao, “Wideband channel modeling and intercarrier interference cancellation for vehicle-to-vehicle communication systems,” IEEE Journal on Selected Areas in Communications, vol. 31, no. 9, pp. 434–448, 2013. View at Publisher · View at Google Scholar · View at Scopus
  27. D. K. Cheng, Field and Wave Electromagnetics, Addison-Wesley, New York, 2nd edition, 1989.
  28. M. Pätzold and B. Talha, “On the statistical properties of sum-of-cisoids-based mobile radio channel simulators,” in Proceedings of the Proc. 10th International Symposium on Wireless Personal Multimedia Communications (WPMC07, pp. 394–400, Jaipur, India, December 2007.
  29. B. O. Hogstad, C. A. Gutiérrez, M. Pätzold, and P. M. Crespo, “Classes of sum-of-cisoids processes and their statistics for the modeling and simulation of mobile fading channels,” EURASIP Journal on Wireless Communications and Networking, vol. 2013, no. 1, pp. 1–15, 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. J. J. Jaime-Rodriguez, C. A. Gutierrez, D. U. Campos-Delgado, and J. M. Luna-Rivera, “First-order statistics analysis of two new geometrical models for non-WSSUS mobile-to-mobile channels,” in Proceedings of the 12th IEEE International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob 2016, New York, NY, USA, October 2016. View at Publisher · View at Google Scholar · View at Scopus
  31. G. Matz, “On non-WSSUS wireless fading channels,” IEEE Transactions on Wireless Communications, vol. 4, no. 5, pp. 2465–2478, 2005. View at Publisher · View at Google Scholar · View at Scopus
  32. A. G. Zajić, G. L. Stüber, T. G. Pratt, and S. T. Nguyen, “Wideband MIMO mobile-to-mobile channels: Geometry-based statistical modeling with experimental verification,” IEEE Transactions on Vehicular Technology, vol. 58, no. 2, pp. 517–534, 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. M. Pätzold, B. O. Hogstad, and N. Youssef, “Modeling, analysis, and simulation of MIMO mobile-to-mobile fading channels,” IEEE Transactions on Wireless Communications, vol. 7, no. 2, pp. 510–520, 2008. View at Publisher · View at Google Scholar · View at Scopus
  34. A. Papoulis and S. Pillai, Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York, NY, USA, 4th edition, 2002. View at MathSciNet
  35. R. He, O. Renaudin, V.-M. Kolmonen et al., “Characterization of quasi-stationarity regions for vehicle-to-vehicle radio channels,” IEEE Transactions on Antennas and Propagation, vol. 63, no. 5, pp. 2237–2251, 2015. View at Publisher · View at Google Scholar · View at Scopus
  36. R. von Mises, “Über die ‘Ganzzahligkeit’ der Atomgewichte und verwandte Fragen,” Physikalische Zeitschrift, vol. 19, pp. 490–500, 1918. View at Google Scholar
  37. R. D. Yates and D. J. Goodman, Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, John Wiley and Sons, New Jersey, 2nd edition, 2005.
  38. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York, USA, 7th edition, 2007.