A Simple 3-D Geometric Channel Model for Macrocell Mobile Communications

Abstract

One of the fundamental research areas in wireless communications is the development of realistic models that can efficiently and accurately describe the wireless propagation channel. Most of the proposed models disregard the three dimensional character of the signal spread or use techniques with excessive computational complexity. In this paper, we develop a simple 3-D geometric scattering model for the uplink of a macrocell mobile environment that provides the statistics of Angle-of-Arrival (AoA) of the multipath components. The model extends the 2-D geometrical-based single bounce macrocell (GBSBM) model. Explicit closed-form expressions are derived for the statistics of the AoA of the multipaths in the azimuth and elevation planes. Analysis of the results exhibits the advantages of our proposal compared to 2-D and 3-D ones published in the literature. Comparisons with experimental data confirm its validity. Interesting conclusions for the effective evaluation of mobile communication systems have been derived. Moreover, an application of the model to mobile location estimation has been developed and evaluated.

A Geometric Method for Computing the Nodal Distance Distribution in Mobile Networks

“…In this case, it is also α R 1 ,R 2 = kα R 1 ,R 2 due to (10). In the single disk scenario [2], simulations have shown that (11) gives adequate results for R 1,2 = Rα 2 1,1 4 and D = α R,R /2 (R is the disk radius).…”

“…In our analysis, we develop a geometrical-based method [8][9][10][11][12][13][14][15] and provide simple integral expressions for the cumulative distribution function (cdf) of the distance between nodes that are uniformly located within circular-shaped networks. To the best of the author's knowledge, computation of distance distribution includes awkward expressions and requires time-consuming calculations [5].…”

Hexagonal vs Circular Cell Shape: A Comparative Analysis and Evaluation of the Two Popular Modeling Approximations

“…We present three 2-D geometrical-based models for the description of the probability of uplink interference that assume circular and hexagonal cells. At this point, we have to notice that two-dimensional modeling is adequate for the description of the azimuth angular spreading of the propagating signals but fails to describe any signal variations in the elevation plane (Fuhl et al, 1997;Kuchar et al, 2000;Baltzis & Sahalos, 2009a, b;Nawaz et al, 2010). In the development of the models, certain assumptions have been made.…”

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

“…However, the signals reflected from rooftop and high-rise buildings raise the importance of the inclusion of an elevation plane in the mobile [15]. Therefore, it is very essential to consider the spreading of multipath signals in 3-D space (i.e.…”

“…Therefore, it is very essential to consider the spreading of multipath signals in 3-D space (i.e. simultaneously both in azimuth and elevation planes) [15][16][17][18][19][20][21][22]. In [16,17], power spectral density and PDFs of AOA for a nonzero elevation plane using a 3-D scattering model are theoretically derived, and in these models authors do not consider spreading of multipath waves in the azimuth and elevation planes.…”