Skip to main content
SpringerLink
Log in

Temporal Analysis of a 3D Ellipsoid Channel Model for the Vehicle-to-Vehicle Communication Environments

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In vehicle-to-vehicle (V2V) communication scenarios, the antenna heights of the communicating nodes are typically lower than the heights of scattering objects in the vicinity of these nodes such that signal propagation in the elevation plane cannot be ignored. Therefore, it is necessary to consider three-dimensional (3D) space for modeling radio propagation in V2V communication environments. In this paper, the temporal characteristics of a 3D semi-ellipsoid geometrical channel model for V2V communication scenarios is presented by assuming uniform scatterer distribution around the mobile stations (MSs). Using the 3D semi-ellipsoid channel model, closed-form expressions for the joint probability density function (PDF) of the time-of-arrival (ToA) and angle-of-arrival (AoA) in azimuth and elevation planes is derived. A closed-form expression for the marginal PDF of ToA of the received signal is also provided. The proposed analytical results are compared with those obtained from some notable geometric channel models found in the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Hartenstein, H., & Laberteaux, K. P. (2008). A tutorial survey on vehicular ad hoc networks. IEEE Communications Magazine, 46(6), 164–171.

    Article  Google Scholar 

  2. Vaa, T., Penttinen, M., & Spyropoulou, I. (2007). Intelligent transport systems and effects on road traffic accidents: State of the art. IET Intelligent Transport Systems, 1(2), 81–88.

    Article  Google Scholar 

  3. Karagiannis, G., Altintas, O., Ekici, E., Heijenk, G., Jarupan, B., Lin, K., et al. (2011). Vehicular networking: A survey and tutorial on requirements, architectures, challenges, standards and solutions. IEEE Communications Surveys & Tutorials, 13(4), 584–616.

    Article  Google Scholar 

  4. Wu, H., Fujimoto, R. M., Riley, G. F., & Hunter, M. (2009). Spatial propagation of information in vehicular networks. IEEE Transactions on Vehicular Technology, 58(1), 420–431.

    Article  Google Scholar 

  5. Le, K. (2009). On angle-of-arrival and time-of-arrival statistics of geometric scattering channels. IEEE Transactions on Vehicular Technology, 58(8), 4257–4264.

    Article  Google Scholar 

  6. Jaafar, I., Boujemaa, H., & Siala, M. (2008). Angle and time of arrival statistics for hollow-disc and elliptical scattering models. In Signals, circuits and Systems, 2008. SCS 2008. 2nd International conference on, pp. 1–4.

  7. Khan, N. M., Simsim, M. T., & Rapajic, P. B. (2008). A generalized model for the spatial characteristics of the cellular mobile channel. IEEE Transactions on Vehicular Technology, 57(1), 22–37.

    Article  Google Scholar 

  8. Petrus, P., Reed, J. H., & Rappaport, T. S. (2002). Geometrical-based statistical macrocell channel model for mobile environments. IEEE Transactions on Communications, 50(3), 495–502.

    Article  Google Scholar 

  9. Ertel, R. B., & Reed, H. J. (1999). Angle and time of arrival statistics for circular and elliptical scattering models. IEEE Journal on Selected Areas in Communications, 17(11), 1829–1840.

    Article  Google Scholar 

  10. Paul, B. S., Hasan, A., Madheshiya, H., & Bhattacharjee, R. (2009). Time and angle of arrival statistics of mobile-to-mobile communication channel employing circular scattering model. IETE Journal of Research, 55(6), 275.

    Article  Google Scholar 

  11. Paul, B. S., & Bhattacharjee, R. (2010). Time and angle of arrival statistics of mobile-to-mobile communication channel employing dual annular strip model. IETE Journal of Research, 56(6), 327.

    Article  Google Scholar 

  12. Baltzis, K. B. (2011). A simplified geometric channel model for mobile-to-mobile communications. Radioengineering, 20(4), 961.

    Google Scholar 

  13. Baltzis, K. B. (2011). A generalized elliptical scattering model for the spatial characteristics of mobile channels. Wireless Personal Communications, pp. 1–14.

  14. Zajic, A. G., & Stuber, G. L. (2008). Three-dimensional modeling, simulation, and capacity analysis of space-time correlated mobile-to-mobile channels. IEEE Transactions on Vehicular Technology, 57(4), 2042–2054.

    Article  Google Scholar 

  15. Samarasinghe, P. T., Lamahewa, T. A., Abhayapala, T. D., & Kennedy, R. A. (2010). 3D mobile-to-mobile wireless channel model. In Proceedings of Australian communications theory workshop, Vol. 1, pp. 30–34.

  16. Riaz, M., Nawaz, S. J., & Khan, N. M. (2013). 3D ellipsoidal model for mobile-to-mobile radio propagation environments. Wireless Personal Communications, 72(4), 2465–2479.

    Article  Google Scholar 

  17. Kong, S.-H. (2009). ToA and AoD statistics for down link Gaussian scatterer distribution model. IEEE Transactions on Wireless Communications, 8(5), 2609–2617.

    Article  Google Scholar 

  18. Olenko, A. Y., Wong, K. T., & Ng, E. H.-O. (2003). Analytically derived ToA-DoA statistics of uplink/downlink wireless multipaths arisen from scatterers on a hollow-disc around the mobile. IEEE Antennas and Wireless Propagation Letters, 2(1), 345–348.

    Article  Google Scholar 

  19. Alsehaili, M., Noghanian, S., Sebak, A. R., & Buchanan, D. A. (2010). Angle and time of arrival statistics of a three dimensional geometrical scattering channel model for indoor and outdoor propagation environments. Progress In Electromagnetics Research, 109, 191–209.

    Article  Google Scholar 

  20. Nawaz, S. J., Qureshi, B. H., & Khan, N. M. (2010). A generalized 3-D scattering model for a macrocell environment with a directional antenna at the BS. IEEE Transactions on Vehicular Technology, 59(7), 3193–3204.

    Article  Google Scholar 

  21. Janaswamy, R. (2002). Angle of arrival statistics for a 3D spheroid model. IEEE Transactions on Vehicular Technology, 51(5), 1242–1247.

    Article  Google Scholar 

  22. Nawaz, S. J., Khan, N. M., Patwary, M. N., & Moniri, M. (2011). Effect of directional antenna on the Doppler spectrum in 3-D mobile radio propagation environment. IEEE Transactions on Vehicular Technology, 60(7), 2895–2903.

    Article  Google Scholar 

  23. Olenko, A. Y., Wong, K. T., Qasmi, S. A., & Ahmadi-Shokouh, J. (2006). Analytically derived uplink/downlink toa and 2-D-DoA distributions with scatterers in a 3-D hemispheroid surrounding the mobile. IEEE Transactions on Antennas and Propagation, 54(9), 2446–2454.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, COMSATS Institute of Information Technology (CIIT), Islamabad, 44000, Pakistan

    Syed Junaid Nawaz & Shurjeel Wyne

  2. Acme Center for Research in Wireless Communications (ARWiC), Mohammad Ali Jinnah University (MAJU), Islamabad, 44000, Pakistan

    Muhammad Riaz & Noor M. Khan

Authors
  1. Syed Junaid Nawaz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Muhammad Riaz
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Noor M. Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shurjeel Wyne
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Syed Junaid Nawaz.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nawaz, S.J., Riaz, M., Khan, N.M. et al. Temporal Analysis of a 3D Ellipsoid Channel Model for the Vehicle-to-Vehicle Communication Environments. Wireless Pers Commun 82, 1337–1350 (2015). https://doi.org/10.1007/s11277-015-2286-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-015-2286-5

Keywords

Search

Navigation