A New Spatially Correlated Shadowed Channel Model with Cognitive Radio Application

In this paper, a new correlated shadowed channel model based on grid points is proposed. It is presented a three-dimensional model capitalizing on the two-dimensional model available in the literature. Additionally, a closed-formula to obtain the theoretical correlation between any two points is derived. In order to show the usefully of the proposed model and as an application example, we provide an important performance analysis related to spectrum sensing for cognitive radio. The effect of correlation in the various aspects of system performance is then investigated. The validity of the analytical results is supported by means of Monte Carlo simulation. The results show that the system performance analysis is more accurate when the proposed model is considered, this conclusion is discussed throughout the paper.