A geometrical model for the TOA distribution of uplink/downlink multipaths, assuming scatterers with a conical spatial density

Yue Ivan Wu, Kainam Thomas Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)


The time-of-arrival (TOA) distributions of the uplink and downlink multipath are analytically derived in this paper. This is based on geometrical models that simplify the spatial relationship among a mobile transceiver, the scatterers, and a base-station transceiver. These models idealize the scatterers as lying on a circular disc centered around the mobile transceiver, with these scatterers concentrating in a conically shaped spatial density. The base-station transceiver may lie either among these scatterers (in an indoor propagation environment) or outside this disc of scatterers (for an elevated base-station outdoor receiver). In contrast to the customary uniform-disc density, this "conical " scatterer density indirectly accounts for the multipath scattering power loss. These new TOA distribution formulas, herein derived explicity in terms of the model's only two independent parameters, can better fit some empirical data than can all earlier models that also confine all scatterers to within a circular disc.
Original languageEnglish
Pages (from-to)196-205
Number of pages10
JournalIEEE Antennas and Propagation Magazine
Issue number6
Publication statusPublished - 1 Dec 2008


  • Communication channels
  • Dispersive channels
  • Fading channels
  • Geometric modeling
  • Land mobile radio propagation factors
  • Microwave communication
  • Mobile communication
  • Multipath channels
  • Scatter channels

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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