Simulating Interference in D2D Link Using Fractal Random Walk Model for Elasticity Analysis

In a mobile wireless network, the main impact to the dynamics of the received signal power in radio channel is made by the transceivers' movement. The paper examines the influence of users’ mobility model parameters on the radio channel quality metrics, which include signal-to-interference ratio (SIR) and the stable connection period. The peculiarity of the article is the type of movement under investigation-a fractal random walk. Studying the sensitivity of the quality metrics to the parameters of Fokker-Planck kinetic equation with fractional spatial derivatives the elasticity matrix was constructed. The numerical analysis demonstrated the significant influence of the fractal dimension in addition to the number of transceivers and diffusion coefficient.