2026-06-04T06:48:15Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/408552026-02-03T11:36:21Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Martín-Vega, Francisco-Javier
author
Gómez-Paredes, Gerardo
author
Morales-Jiménez, David
author
López-Martínez, Francisco Javier
author
Aguayo-Torres, María del Carmen
2025-11-20T13:12:21Z
2025-11-20T13:12:21Z
2023-05-19
F. J. Martín-Vega, G. Gómez, D. Morales-Jiménez, F. J. López-Martínez and M. C. Aguayo-Torres, "Joint Distribution of Distance and Angles in Finite Wireless Networks," in IEEE Transactions on Vehicular Technology, vol. 72, no. 10, pp. 13281-13297, Oct. 2023, doi: 10.1109/TVT.2023.3278130
https://hdl.handle.net/10630/40855
10.1109/TVT.2023.3278130
Directional beamforming will play a paramount role in 5G and beyond networks to combat the higher path losses incurred at millimeter wave bands. Appropriate modeling and analysis of the angles and distances between transmitters and receivers in these networks are thus essential to understand performance and limiting factors. Most existing literature considers either infinite and uniform networks, where nodes are drawn according to a Poisson point process, or finite networks with the reference receiver placed at the origin of a disk. Under either of these assumptions, the distance and azimuth angle between transmitter and receiver are independent, and the angle follows a uniform distribution between 0 and 2π. Here, we consider a more realistic case of finite networks where the reference node is placed at any arbitrary location. We obtain the joint distribution between the distance and azimuth angle and demonstrate that these random variables do exhibit certain correlation, which depends on the shape of the region and the location of the reference node. To conduct the analysis, we present a general mathematical framework that is specialized to exemplify the case of a rectangular region. We also derive the statistics for the 3D case where, considering antenna heights, the joint distribution of distance, azimuth, and zenith angles is obtained. Finally, we describe some immediate applications of the present work, including the design of analog codebooks, wireless routing algorithms, and the analysis of directional beamforming, which is illustrated by analyzing the coverage probability of an indoor scenario considering misaligned beams.
eng
Geometría estocástica
Sistemas de comunicación inalámbricos
Joint Distribution of Distance and Angles in Finite Wireless Networks.
journal article
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