학술논문

Joint Distribution of Distance and Angle in Rectangular Finite Wireless Networks
Document Type
Conference
Source
2022 International Symposium on Wireless Communication Systems (ISWCS) Wireless Communication Systems (ISWCS), 2022 International Symposium on. :1-6 Oct, 2022
Subject
Communication, Networking and Broadcast Technologies
Signal Processing and Analysis
Correlation
Shape
Azimuth
Array signal processing
Wireless networks
Stochastic processes
Random variables
stochastic geometry
finite networks
angle distribution
beam management
Language
Abstract
In this paper, we investigate the distribution of the distance and azimuth angle between a reference node and a node randomly placed within a rectangular finite wireless network. As a result, we prove that there exists a non-negligible correlation between both random variables, that depends on the shape of the rectangle and on the location of the reference node. To characterize this dependence, we derive the joint distribution of distance and azimuth angle, which is expressed as the sum of a small number of closed-form terms. This expression has applications on the analysis of directional beamforming.