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

Abstract

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.

A Small Scale Fading Model with Sectored and Three Dimensional Diffuse Scattering

“…(123-125)], [6] and [7] have in common that a uniform distribution for the angles of arrival in the azimuth plane has been considered. A simple model which combines both 3-D scattering and sectored arrival of multipath energy can be viewed in [8]. In [9] a generalized Doppler PSD has been derived in closed form for arbitrary 3-D scattering environments.…”

A Generalized Analysis of Three-Dimensional Anisotropic Scattering in Mobile Wireless Channels-Part I: Theory

“…In [20], the distribution of the arriving multipath power was considered to be a restricted uniform in both the azimuth and elevation plane and in [21], new modified sinusoidal functions for the elevation AOA distribution were presented. In [22] and [23], new discontinuous azimuth AOA distributions were considered, while the distribution for the elevation AOA was that of Aulin in [14]. Finally, in [24] and [25], two bivariate joint distributions for the azimuth and elevation AOA were used, namely, the Fisher-Bingham distribution and the von MisesFisher distribution, respectively.…”

“…In 3-D scattering environments, statistical dependence between the azimuth and elevation AOA and multi-modal arrival of multipath power is only considered in [24] and [25]. In [22] and [23], it is considered only bimodal arrival of multipath power and statistical independence between the azimuth and elevation AOA.…”

Στατιστική Διερεύνηση Της Διάδοσης Της Σκεδαζόμενης Ισχύος Και Του Λαμβανομένου Σήματος Σε Χρονικά Μεταβαλλόμενα Ασύρματα Κανάλια

“…(218-240)]. Αν σι=σ2-σ0, α{= α3=0 και α2 = α4 = π / 2, παίρνουμε το LCR και το AFD του μοντέλου στην εργασία [25]. Τέλος, αν ο"ι = σ2 = σ0 και / = 0, προκύπτουν το LCR και το AFD που παρουσιάστηκαν στην εργασία [63], [5, σελ.…”

“…(218-225)], ενώ μια απλούστερη υπάρχει στην εργασία[12]. Η PSD της εργασίας[12], παρουσιάζεται σε μια πιο γενικευμένη μορφή στην εργασία[25], ώστε να συμπεριλάβει τρισδιάστατη σκέδαση.Επιπλέον στις εργασίες[5, σελ. (185-188), (208-212)],[17] και[18], υπάρχουν μη συμμετρικές και κατά τμήματα συνεχείς PSDs που προκύπτουν από δυσδιάστατη ανισοτροπική σκέδαση.…”