Temporal characterization of rainfall time series analysis for wireless networks

Estimation analysis for rainfall time series can be applied as a technique in improving dynamic rain fade countermeasures. In this study, the nth-powered sine function is considered in analyzing the time series patterns in Durban, South Africa. With an assumed exponent factor, n = 2 and width factor, β = 0.9, the proposed function is seen as an appropriate envelope with Root Mean Square (RMS) error ranging between 13% and 30%. The Fast Fourier Transform (FFT) and Power Spectral Density (PSD) show that the frequency components of the measured rainfall residues compare well with those of the proposed function. At simulated microwave frequencies of 12 GHz, the function is seen to mask and track the fluctuating rainfall specific attenuation patterns at our site.