A two-dimensional channel simulation model for shadowing processes

A Gaussian random process with a given power spectral density (PSD) function can be modeled as a sum of sinusoids (SOS), and has been widely used to simulate Rayleigh-fading communication channels. The conventional one-dimensional (1-D) channel model cannot capture the spatial correlation of shadowing processes. We here develop a two-dimensional (2-D) SOS-based channel model to simulate the shadowing process. Three methods to fit the PSD of the simulated process to the true channel's PSD are explored. Performance of the proposed channel simulator is analyzed in terms of the autocorrelation function of the simulated shadowing process. Simulations illustrate the potential of the proposed channel simulation model.