TY - JOUR TI - Study on base station topology in national cellular networks: Take advantage of alpha shapes, betti numbers, and euler characteristics AU - Chen, Ying AU - Li, Rongpen AU - Zhao, Zhifeng AU - Zhang, Honggang T2 - IEEE Systems Journal AB - Faced with the ever-increasing trend of the cellular network scale, how to quantitatively evaluate the effectiveness of the large-scale deployment of base stations (BSs) has become a challenging topic. To this end, a deeper understanding of the cellular network topology is of fundamental significance to be achieved. In this paper, $ \alpha$-Shape, a powerful algebraic geometric tool, is integrated into the analyses of real BS location data for six Asian and six European countries. First, the BS spatial deployments of both Asian and European countries express fractal features based on two different testifying metrics, namely the Betti numbers and the Hurst coefficients. Second, it is found out that the log-normal distribution presents the best match to the cellular network topology when the practical BS deployment is characterized by the Euler characteristics. CN - 2 DA - 2020/06// PY - 2020 DP - 4.4 VL - 14 IS - 2 SP - 2202 EP - 2213 J2 - IEEE Systems J. ST - Study on base station topology in national cellular networks UR - Https://www.rongpeng.info/files/Paper_SystemJ2019Topology.pdf ER -