This paper presents the angle-of-arrival (AOA) and time-of-arrival (TOA) statistics of multipaths arriving from scatterers with conic spatial density and located on an elliptical disc around the mobile. For simplification of analysis, a common practice in geometric channel modeling of macrocell networks in the open literature is to assume the scatterers to be located on a circular disc around the mobile for non-uniform scatterers’ spatial densities. This paper extends the analysis for scatterers with conic spatial density on a circular disc around the mobile to that on an elliptical disc around the mobile. The AOA-TOA joint probability densities and AOA marginal probability densities from the base station and mobile station sides were derived analytically in closed form. The TOA marginal probability densities for both the base-station and mobile-station sides were also studied. The effect of the eccentricity of the elliptical disc on the derived probability densities was discussed. In most cases, increase in the eccentricity results to reduction in the AOA support region.

本文介绍了来自具有圆锥空间密度并位于移动台周围椭圆盘上的散射体到达的多径的到达角 (AOA) 和到达时间 (TOA) 统计数据。为简化分析，公开文献中宏蜂窝网络几何信道建模的常见做法是假设散射体位于移动台周围的圆盘上，以获取非均匀散射体的空间密度。本文将移动体周围圆盘上圆锥空间密度散射体的分析扩展到移动体周围椭圆盘上的散射体。来自基站和移动站侧的AOA-TOA联合概率密度和AOA边际概率密度以封闭形式解析导出。还研究了基站和移动站双方的 TOA 边际概率密度。讨论了椭圆盘的偏心率对导出的概率密度的影响。在大多数情况下，偏心率的增加会导致 AOA 支撑区域的减少。