On the statistical description of the AoA of the uplink interfering signals in a cellular communication system

Abstract

SUMMARYA common assumption in the analysis and modelling of co-channel interference (CCI) is the circular shape of the cells. However, despite its simplicity, this approach has certain drawbacks. In this paper, we propose an alternative approximate method which considers hexagonal-shaped cells. We develop a geometrical-based stochastic model and derive analytical expressions for the statistics of the angle-of-arrival of the uplink interfering signals in a cellular system. Simulations performed exhibit the characteristics of our proposal and evaluate both hexagonal and circular approximations. The impact of various parameters on the performance of a cellular system is also investigated. The derived expressions simplify the analysis of wireless networks and improve the accuracy of the simulations when hexagonal cells are employed.

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

“…The comparisons we performed show that the inradius approximation compared with the circumradius one gives results closer to the hexagonal approach. In fact, it has been found that circles with radius that range between 1.05r and 1.1r give results closer to the hexagonal solution (Baltzis & Sahalos, 2010). Similar results are drawn for several other performance metrics (Oh & Li, 2001).…”

“…CDMA and WCDMA networks, OFDMA systems or special cases of ad hoc networks (Almers et al, 2007;Andrews et al, 2007;Webb, 2007;Lu et al, 2008). Recently (Baltzis and Sahalos, 2010), the previous model was extended and included networks with hexagonal cells of arbitrary cluster size and orientation. In that proposal, the boundaries of the hexagonal cell were expressed in polar coordinates with origin the position of the desired BS, see Fig.…”

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

“…e− sin θdθdφ (11) where r e± are given from (5) (under the constraints of (6)), and Φ, Θ from (8), by replacing a, b, c, and…”

“…we have developed an empirical formula similar to (11). Our approach reduces, with simple † The definition is among the simplest ones that has a clear physical meaning and provides adequate results in terms of solution accuracy.…”

“…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].…”