Dimensionality for two ring scattering model

We consider a two ring scattering environment as a continuous wireless channel. In our model, there is finite spatial volume for transmitting, receiving as well as finite spatial volumes of scatterers. The number of multipath channels for a two ring scattering model is developed as a numerical solution. An approximate analytic solution is given. The dimensionality of the channel is developed as a function of the physical parameters of the channel such as volume of transmitting or receiving region, together with the inner and outer radius of the scattering regions in a two ring model. The method introduced in this paper can be applied for different scenarios consisting of multiple scattering environments.