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International Journal of Antennas and Propagation
Volume 2015, Article ID 936406, 14 pages
Research Article

Estimation of the Reception Angle Distribution Based on the Power Delay Spectrum or Profile

Institute of Telecommunications, Faculty of Electronics, Military University of Technology, Gen. Sylwestra Kaliskiego Street No. 2, 00-908 Warsaw, Poland

Received 25 September 2015; Accepted 25 November 2015

Academic Editor: Ana Alejos

Copyright © 2015 Cezary Ziółkowski and Jan M. Kelner. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper presents an estimation of the reception angle distribution based on temporal characteristics such as the power delay spectrum (PDS) or power delay profile (PDP). Here, we focus on such wireless environment, where the propagation phenomenon predominates in azimuth plane. As a basis to determine probability density function (PDF) of the angle of arrival (AOA), a geometrical channel model (GCM) in form of the multielliptical model for delayed scattering components and the von Mises’ PDF for local scattering components are used. Therefore, this estimator is called the distribution based on multielliptical model (DBMM). The parameters of GCM are defined on the basis of the PDS or PDP and the relative position of the transmitter and the receiver. In contrast to the previously known statistical models, DBMM ensures the estimation PDF of AOA by using the temporal characteristics of the channel for differing propagation conditions. Based on the results of measurements taken from the literature, DBMM verification, assessment of accuracy, and comparison with other models are shown. The results of comparison show that DBMM is the only model that provides the smallest least-squares error for different environments.