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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. In practice, a finite number of sinusoids can be used to approximate a Gaussian process, which reduces complexity. For this reason, the method of sum of sinusoids (SOS) to simulate fading channels has been extensively investigated. M. Patzöld et al. (see IEEE Trans. Veh. Technol., vol.45, p.318-31, 1996) studied the method of SOS in more detail and developed several approaches to determining the sinusoidal frequencies. The very popular Jakes' channel simulation model calculates the frequencies of the sinusoids based on a physical channel model with uniformly distributed scatterers around a circle. The conventional one-dimensional (1D) channel model cannot capture the spatial correlation of shadowing processes. We develop a two-dimensional (2D) SOS-based channel model to simulate the shadowing process.