Analytically derived uplink/downlink TOA and 2-D-DOA distributions with scatterers in a 3-D hemispheroid surrounding the mobile

Andriy Yakovych Olenko, Kainam Thomas Wong, Sajjad Ahmed Qasmi, Javad Ahmadi-Shokouh

Research output: Journal article publicationJournal articleAcademic researchpeer-review

44 Citations (Scopus)


This paper presents the open literature's first closed-form explicit expressions of the trivariate joint and marginal distributions of a landmobile cellular wireless communication system's uplink and downlink multipaths' time of arrival and two-dimensional direction of arrival, rigorously derived via thorough mathematics based on a "geometrical" model of the three-dimensional (3-D) spatial relationships among the mobile station, the scatterers, and the base station. The scatterers are herein modeled to have a uniform 3-D spatial distribution in an aboveground hemisphere with a flat circular base (or alternatively, within a sphere) centered at the mobile.
Original languageEnglish
Pages (from-to)2446-2454
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Issue number9
Publication statusPublished - 1 Dec 2006
Externally publishedYes


  • Communication channels
  • Dispersive channels
  • Fading channels
  • Geometric modeling
  • Microwave communication
  • Mobile communication
  • Multipath channels
  • Scatter channels

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

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