volume | PIER Journals

Abstract

In this paper, we derive a new geometrical blind corner scattering model for vehicle-to-infrastructure (V2I) communications. The proposed model takes into account single-bounce and double-bounce scattering stemming from fixed scatterers located on both sides of a curved street. Starting from the geometrical blind corner model, the exact expression of the angle of departure (AOD) is derived. Based on this expression, the probability density function (PDF) of the AOD and the Doppler power spectrum are determined. Analytical expressions for the channel gain and the temporal autocorrelation function (ACF) are provided under non-line-of-sight (NLOS) conditions. Additionally, we investigate the impact of the position of transmitting vehicle relatively to the receiving road-side unit on the channel statistics. Moreover, we study the performance of different digital modulations over a sum of singly and doubly scattered (SSDS) channel. Note that the proposed V2I channel model falls under the umbrella of SSDS channels since the transmitted signal undergoes a combination of single-bounce and double-bounce scattering. We study some characteristic quantities of SSDS channels and derive expressions for the average symbol error probability of several modulation schemes over SSDS channels with and without diversity combining. The validity of these analytical expressions is confirmed by computer-based simulations.

1. Damoss, E. and L. M. Correia, "Digital mobile radio toward future generation systems (COST 231 Final Report)," Tech. Rep., 1999. Google Scholar

2. Belanovic, P., D. Valerio, A. Paier, T. Zemen, F. Ricciato, and C. Mecklenbrauke, "On wireless links for vehicle-to-infrastructure communications," IEEE Transactions on Vehicular Technology, Vol. 59, No. 1, 269-282, Jan. 2010.
doi:10.1109/TVT.2009.2029119 Google Scholar

3. Gozalvez, J., M. Sepulcre, and R. Bauza, "IEEE 802.11p vehicle to infrastructure communications in urban environments," IEEE Communications Magazine, Vol. 50, No. 5, 176-183, May 2012.
doi:10.1109/MCOM.2012.6194400 Google Scholar

4. Shivaldova, V., G. Maier, D. Smely, N. Czink, A. Alonso, A. Winkelbauer, A. Paier, and C. Mecklenbrauker , "Performance evaluation of IEEE 802.11p infrastructure-to-vehicle tunnel measurements ," 7th International Wireless Communications and Mobile Computing Conference (IWCMC 2011) , 848-852, 2011 2011.
doi:10.1109/IWCMC.2011.5982657 Google Scholar

5. Alsehaili, M., S. Noghanian, A. R. Sebak, and D. A. Buchanan, "Angle and time of arrival statistics of a three dimensional geometrical scattering channel model for indoor and outdoor propagation environments ," Progress In Electromagnetics Research, Vol. 109, 191-209, 2010.
doi:10.2528/PIER10081106 Google Scholar

6. Chen, Y., Z. Zhang, L. Hu, and P. Rapajic, "Geometry-based statistical model for radio propagation in rectangular office buildings," Progress In Electromagnetics Research B, Vol. 17, 187-212, 2009.
doi:10.2528/PIERB09080603 Google Scholar

7. Chen, Y., Z. Zhang, and T. Qin, "Geometrically based channel model for indoor radio propagation with directional antennas," Progress In Electromagnetics Research B, Vol. 20, 109-124, 2010.
doi:10.2528/PIERB10022205 Google Scholar

8. Salo, J., H. El-Sallabi, and P. Vainikainen, "Salo, J., H. El-Sallabi, and P. Vainikainen, Statistical analysis of the multiple scattering radio," channel," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 11, 3114-3124, Nov. 2006.
doi:10.1109/TAP.2006.883964 Google Scholar

9. Zajic, , A. G. and G. L. Stuber, "Three-dimensional modeling and simulation of wideband MIMO mobile-to-mobile channels," IEEE Transactions on Wireless Communications, Vol. 8, No. 3, 1260-1275, Mar. 2009.
doi:10.1109/TWC.2009.070379 Google Scholar

10. Cheng, X., C.-X. Wang, D. Laurenson, S. Salous, and A. Vasilakos, "An adaptive geometry- based stochastic model for non-isotropic MIMO mobile-to-mobile channels," IEEE Transactions on Wireless Communications, Vol. 8, No. 9, 4824-4835, Sep. 2009.
doi:10.1109/TWC.2009.081560 Google Scholar

11. Chelli, A., R. Hamdi, and M.-S. Alouini, "A vehicle-to-infrastructure channel model for blind corner scattering environments," Proc. IEEE 78th Vehicular Technology Conference (VTC2013-Fall), 1-6, Sep. 2013. Google Scholar

12. Chelli, A. and M. Patzold, "The impact of fixed and moving scatterers on the statistics of MIMO vehicle-to-vehicle channels," Proc. IEEE 69th Vehicular Technology Conference (VTC2009-Spring) , 1-6, Apr. 2009.
doi:10.1109/VETECS.2009.5073879 Google Scholar

13. Zajic, A. G., G. L. Stuber, 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, 517-534, Feb. 2009.
doi:10.1109/TVT.2008.928001 Google Scholar

14. Zhiyi, H., C. Wei, Z. Wei, M. Patzold, and A. Chelli, "Modelling of MIMO vehicle-to-vehicle fading channels in T-junction scattering environments," Proc. 3rd European Conference on Antennas and Propagation (EuCAP 2009), 652-656, Mar. 2009. Google Scholar

15. Papoulis, A. and S. U. Pillai, Probability, Random Variables and Stochastic Processes, 4th Ed., McGraw-Hill, 2002.

16. PÄatzold, M., Mobile Radio Channels, 2nd Ed., John Wiley & Sons, 2011.
doi:10.1002/9781119974116

17. Gutierrez, C. A. and M. Patzold, "Sum-of-sinosoids-based simulation of flat fading wireless propagation channels under non-isotropic scattering conditions," Proc. 50th IEEE Global Telecommunications Conference, (GLOBECOM 2007), 3842-3846, Nov. 2007. Google Scholar

18. Winters, J., "On the capacity of radio communication systems with diversity in a Rayleigh fading environment," IEEE Journal on Selected Areas in Communications, Vol. 5, No. 5, 871-878, Jun. 1987.
doi:10.1109/JSAC.1987.1146600 Google Scholar

19. Simon, M. K. and M.-S. Alouin, "Digital Communication over Fading Channels," John Wiley & Sons, 2005. Google Scholar

20. Prudnikov, A., Y. Brychkov, and O. Marichev, " Integrals and Series: Volume 1: Elementary Functions," Gordon and Breach Science Publishers, 1986. Google Scholar

21. Alouini, M.-S. and M. Simon, "An MGF-based performance analysis of generalized selection combining over Rayleigh fading channels," IEEE Transactions on Communications, Vol. 48, No. 3, 401-415, Mar. 2000.
doi:10.1109/26.837044 Google Scholar

22. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th Ed., Academic Press, 2013.

Dr. Ali Chelli

Dr. Rami Hamdi

Dr. Mohamed-Slim Alouini