Research of Mobile Deployment and Sub-channel Distribution under Terrain Topology Impact

In this paper, the mobile deployment and subchannel number distribution are estimated for different values of Anisotropy Ratio (AR) and Mean Building Block Area (MBBA) pairs. This work proposes to model city maps with a particular family of random tessellations: Crack STIT tessellation to generate realistic city maps with a reduced number of parameters: i.e., AR and MBBA. The model is used to compute the received power map and further identify the impact of terrain topology parameters on wireless propagation. Simulations results show that mean mobile number and mean sub-channel number (SCN) both decrease with increasing MBBA following a power law dependency. The variance of SCN distribution increases with increasing MBBA by a potential exponential law. However, AR does not show obvious and strong impact on mobile and SCN. For different value of MBBA, AR leads to different mobile number and sub-channel evolutions gradually. Furthermore, the evolution of SCN does not monotonically decrease with increasing MBBA at 95% cumulative density function (CDF) bound of SCN distribution. Unlike the mean value (50% CDF bound), the SCN at 95% bound increases back for very large MBBA. The results are particularly promising for providing a parametric relation between mobile deployment/SCN and terrain topology. This considerably simplifies the radio estimation and planning of wireless networks.