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A Modified Loo Model with Partially Blocked and Three Dimensional Multipath Scattering: Analysis, Simulation and Validation

Karadimas, Petros; Kotsopoulos, Stavros A.


Stavros A. Kotsopoulos


This paper presents a novel mobile fading channel model, belonging to the class of Loo models, in which the multipath power arrives both in three dimensions (3-D) and in two angular sectors at the azimuth receiver’s plane. Moreover shadowing affects the amplitude of the line of sight (LOS) component, making it time varying and following a lognormal distribution, as required for a Loo model. The Doppler power spectral density (PSD) is analytically calculated, after Fourier transforming the closed form autocorrelation function. Afterwards exact solutions for the probability density function (PDF) of the envelope and phase are presented. What follows are approximate solutions for the second order statistics, i.e. the level crossing rate (LCR) and the average duration of fades (ADF’s). A new, appropriate for 3-D scattering cases, deterministic simulation scheme is developed, which implements the analytical model on a digital computer and is used to test the validity of the approximate solutions. Moreover the deterministic model is thoroughly investigated for all the possible cases, in terms of its convergence to the analytical one. Finally a curve fitting of the LCR to real world data, drawn from channel measurements, will demonstrate the flexibility and usefulness of the modified Loo model.

Journal Article Type Article
Acceptance Date Mar 2, 2009
Online Publication Date Mar 15, 2009
Publication Date 2010-06
Deposit Date Jan 15, 2022
Journal Wireless Personal Communications
Print ISSN 0929-6212
Electronic ISSN 1572-834X
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 53
Issue 4
Pages 503-528
Keywords Blocked multipath power, Deterministic simulation, Loo model, Shadow fading, Three dimensional (3-D) multipath scattering
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