A Gaussian beam shooting scheme for fast multidimensional physical simulation of propagation channels in wireless communication systems

Abstract

This paper illustrates the ability of Gaussian beam shooting techniques to accommodate large propagation problems in multipath contexts. Frame based decomposition of fields provides a flexible and efficient tool to perform beam launching. Channel transfer matrices are defined, which allow for a complete description of multidimensional channels through a limited number of coefficients. A beam re-expansion algorithm is proposed to address the problems of beam widening, and diffraction by objects with limited extension, through the conjoint use of wide/narrow frame windows.

Gaussian beam launching for 3D physical modeling of propagation channels

“…When a Gaussian beam impinges on a plane interface of finite transverse extent, diffraction effects In such a case, if the density of incident beams is sufficient to correctly represent incident fields near this frontier, there is no need of a special treatment of diffraction effects, which are accounted for by superposition of transformed beam fields. In the limit of very dense superpositions of spatially narrow beams, such a Gaussian beam superposition is similar to physical optics representations [17]. Another way of addressing this problem is the use of Gaussian beam diffraction formulas, which yield transformed field representations in the form of diffracted rays, modulated beams, or diffracted beams.…”

“…This matrix can also be multiplied by matrices of coefficients representing the radiation of emitting/receiving elements, such as those used in MIMO systems, to obtain the usual MIMO channel transfer matrix. GBS based on frame decomposition makes it possible to get this so-called "generalized channel transfer matrix" very easily, and in a compact way [17].…”