Wireless Personal Communications

, Volume 78, Issue 2, pp 851–865 | Cite as

Angle and Time of Arrival Statistics for a 3-D Pie-Cellular-Cut Scattering Channel Model

  • Jiang Hao
  • Zhou JieEmail author
  • Hisakazu Kikuchi


In this paper, investigated a 3-D pie-cellular-cut (PCC) scattering channel model for microcell environments, that idealizes the mobile station (MS) located inside of a 3-D scattering semispheroid and base station (BS) employing a directional antenna at the center of the semispheroid. The joint probability density functions (PDFs) and marginal PDFs of Angle of arrival (AOA) and Time of Arrival (TOA) seen at the BS and the MS in correspondence with azimuth and elevation angles are derived. The results show that the proposed 3D scattering channel model performs better compared with previously proposed 2D models for outdoor and indoor environments, which promotes the research of the statistical channel models.


3-D pie-cellular-cut scattering channel model Microcell environments Directional antenna Angle of arrival Time of arrival Azimuth and elevation angles 



The authors would like to thank Professor Fumiyuki Adachi with Department of Electrical and Electronic Engineering, Tohoku University, Japan, for his invaluable help to finish this paper. This work was partially supported by the National Nature Science Foundation of China (No. 61372128); Non-profit Industry Fund by Ministry of Science and Technology of P.R.C (NO. GYHY200906053); Scientific and Technological Support Project (Industry) of Jiangsu Province (No. BE2011195); Project Sponsored by Jiangsu Provincial Research Scheme of Natural Science for Higher Education Institute (No. 08KJB510009); The National overseas study support Foundation Item (No. 20071108); The Six Kinds of Top Talent of Jiangsu Province (No. 2008-118); Jiangsu Postdoctoral Foundation Fund (No. 2011-11-010986678).


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Electronic and Electrical engineeringNanjing University of Information Science and TechnologyNanjingChina
  2. 2.Department of Electrical and Electronic EngineeringNiigata UniversityNiigata-cityJapan

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