Analytical description of polar coordinates of random vectors in case of arbitrary fluctuations its Cartesian coordinates

There are many tasks where analytical description of the random signals is used. For instance, representation of signals and waves in polar coordinates is widely used in antenna theory and techniques. In this report, we present the results of implementation of the polygaussian approach for describing polar coordinates of random vectors as mixtures of Rayleigh and Rice distributions. Moreover, polygaussian approach gives an opportunity to generalize it to the case of multidimensional vectors.