An improved Sum-Of-Sinusoids based simulation model for Rayleigh fading channel

In multipath propagation scenario, Rayleigh fading is commonly modeled by Sum-Of-Sinusoid simulators. Many simulation models have been proposed in this direction, with Clarke´s model as the reference model which was later simplified by Jake´s model, which could not maintain the wide-sense stationary characteristics. Then an improved model was proposed by Pop and Beaulieu which was further modified by Zheng and Xiao. In this paper, we have considered that the probability of angle of arrival of received signal is not same in the entire range but is assumed high between -π/2 to π/2 and is assigned small value in the remaining ranges -π to -π/2 and π/2 to π. However in each segment the angle of arrival of received signal is considered to have uniform probability distribution function. This proposed probability distribution for the angle of arrival seems to be more realistic in some practical scenario. The autocorrelation, probability density function and power spectral density of the fading envelop is in close agreement with the mathematical model proposed by Clark.