ИССЛЕДОВАНИЕ ПРИМЕНЕНИЯ СТАНДАРТОВ СОТОВЫХ СЕТЕЙ НА ОСНОВЕ ФРАКТАЛЬНОЙ РАЗМЕРНОСТИ ГОРОДА
Authors: Шибайкин С.Д. 
Published: February 2025

Рассматривается применение фрактальной размерности города при анализе вариантов применения стандартов сотовых сетей связи на примере города Саранска. Сформулированный алгоритм расчёта параметров сотовых систем может быть применён при проектировании подсистемы базовых станций в сетях мобильной связи. Расчёты позволяют определить необходимое количество базовых станций с учётом плотности распределения абонентов, а также вычислить необходимый радиус действия сот.

Introduction. Rapid development of technologies and materials allows to design technically and financially effective communication systems. The development of radically new communication technologies poses some challenges related to their implementation, since it involves changes into existing and functioning hardware units. A switchover to the fourth and fifth generation mobile networks implies the replacement of both the software and hardware parts of cellular communication networks. Network design is still crucial, in particular, the design of the required number of base stations. In designing, it is imperative to consider a lot of factors affecting the system characteristics, including reliability, safety, quality of service, financial efficiency. In addition to the technical characteristics of the cellular communication systems, it is imperative to consider the topography, infrastructure and social development of the area where the system is planned to be deployed. One of the perspective methods for processing topographic data involves the application of the principles of the fractal theory. The aim of the research is to study the options of application of cellular communication network standards by means of the fractal dimension of Saransk city. Findings. Paper presents the analyzes of various methods for determining the fractal dimension of Saransk. Such methods include the Minkowski and Hausdorff-Bezikovich metrics. The Hausdorff-Bezikovich fractal dimension of Saransk is the most optimal for designing cellular communications. The calculated fractal dimension is required to design the relevant amount of base stations of cellular communication networks. Based on the statistical indicators of the population and the city area with different building densities, we determined groups and plotted a diagram of the distribution of the city area depending on the density of users considering the morning and evening hours of peak network load. Based on the percentage obtained, we determind the number of users that populate the territories of high, medium and low building densities. Using the inverse algorithm for determining the Hausdorff-Besikovich fractal dimension, we determined the radiuses of the cells for each of the user density categories. Practical significance. Developed algorithm for calculating the cellular system parameters could be applied in the process of designing base stations subsystem in mobile communication networks. Calculations allow to determine the appropriate amount of base stations, considering the distribution density of users, as well as to obtain the appropriate cell radius.