Angle and time of arrival statistics for hollow-disc and elliptical scattering models

Abstract

This paper derives explicit closed-form expressions for the joint/marginal probability density functions of the uplink/downlink multipaths' time-of-arrival (TOA) and azimuth angle-of-arrival (AOA) in a wireless-communication fading channel. These models assume that the scatterers lie within a hollowdisc and an elliptical space, respectively. These probability density functions (pdf) provide insight into the properties of the spatial wireless channel.

Analyses and comparisons of geometrical-based channel model arisen from scatterers on a hollow-disc for outdoor and indoor wireless environments

“…By varying the hollow-discs thickness, these geometrical channel models degenerate to the well-known ring or circular-disc models, revealing the comprehensive insight on the models. Comparisons between our theoretical calculations and customary result in [11,12,18,19], show that the analyses are correct and applicable to both outdoor and indoor environments.…”

“…The complete expressions of ToA pdfs shown in [18,19] may become the easier closed-form expressions. For example, the intersection area between ellipse and outer circle can be described by…”

“…Within this geometrical model by adjusting the sizes of circular and types of scatterer distributions, the model can be used for macrocell or microcell. Olenko et al [18] proposed an analytical channel model based on the assumption that the scatterers are modelled as uniformly distributed within the circular hollow-disc geometry [19] where the BS is located outside.…”

Temporal Analysis of a 3D Ellipsoid Channel Model for the Vehicle-to-Vehicle Communication Environments

“…In order to assess the performance of real-world V2V communication systems, it is imperative to develop a physical understanding of the V2V propagation environment in terms of the angle-of-arrival (AoA) and time-of-arrival (ToA) information of the multipath components of the wireless propagation channel. This purpose has been typically and adequately served by Geometry-based stochastic channel models for conventional cellular communications in which a fixed BS communicates with a mobile-station (MS), see for example [5][6][7][8][9]. In contrast with conventional cellular systems, which have BS antenna heights above or at rooftop levels, the antenna heights of the communicating nodes in a V2V link are typically much lower than the surrounding scatterers such as buildings and trees.…”

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

“…Thus, it is necessary to have reliable understanding of radio-propagation characteristics of the transmission path between the BS and the MS, which leads to the design of effective signal processing techniques. Therefore, a number of different types of 2-D geometrical models are proposed in [1][2][3][4][5][6][7][8][9][10][11][12][13][14], that are currently available such as circular scattering model, ellipse scattering model [1,2], and hollow-disc scattering model [3,4]. In these models, distributions of the scatterers are assumed to be uniform or non-uniform spatial distributions.…”