Wireless Personal Communications

, Volume 82, Issue 3, pp 1337–1350 | Cite as

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

  • Syed Junaid Nawaz
  • Muhammad Riaz
  • Noor M. Khan
  • Shurjeel Wyne


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.


Time-of-arrival Angle-of-arrival Temporal statistics Vehicle-to-vehicle Scattering Channel model Ellipsoid 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Syed Junaid Nawaz
    • 1
  • Muhammad Riaz
    • 2
  • Noor M. Khan
    • 2
  • Shurjeel Wyne
    • 1
  1. 1.Department of Electrical EngineeringCOMSATS Institute of Information Technology (CIIT)IslamabadPakistan
  2. 2.Acme Center for Research in Wireless Communications (ARWiC)Mohammad Ali Jinnah University (MAJU)IslamabadPakistan

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