Analytically derived TOA-DOA statistics of uplink/downlink wireless multipaths arisen from scatterers on an hollow-disc around the mobile

Andriy Yakovich Olenko, Kainam Thomas Wong, Edmund Hui On Ng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

51 Citations (Scopus)


This letter rigorously derives explicit closed-form expressions for the joint/marginal probability density functions of the uplink/downlink multipaths' time-of-arrival (TOA) and azimuth angle-of-arrival (AOA) in a wireless-communication fading channel. This derivation is based on a new "geometrical model" of omnidirectional scatterers as spatially distributed uniformly on a two-dimensional hollow-disc (i.e., a thick ring) centered upon the mobile. By varying the hollow-disc's thickness, this spatial density degenerates to the well-known uniform-ring or uniform-disc densities.
Original languageEnglish
Pages (from-to)345-348
Number of pages4
JournalIEEE Antennas and Wireless Propagation Letters
Publication statusPublished - 1 Dec 2003
Externally publishedYes


  • Dispersive channels
  • Fading channels
  • Land mobile radio cellular systems
  • Land mobile radio diversity systems
  • Land mobile radio equipment
  • Mobile communication
  • Radio communication equipment

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

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