Fractal Fokker–Planck equation and evolution of average quality metrics of wireless network

E. P. Kirina-Lilinskaya


Abstract: This work shows possible applications of Fokker–Planck equation in the problem of describing the evolution function for the distribution of Signal-Interference ratio parameter in wireless communication between devices in random fractal walk. The work shows derivation of the base equations for describing nonstationary random fractal walk and their use in analysis of connection stability in device-to-device model. The walk also shows derivation of evolution equations for connection quality metrics, which may be helpful in minimizing non-stationary jumps in signal stability leading to signal loss and lowering the nonstationary drifting and fractal diffusion effects.

Keywords: fractal Fokker-Planck equation, wireless connection, quality metrics.

DOI: 10.20948/prepr-2020-63