An acceleration method employing sparse sensing matrix for fast analysis
of the wide-angle electromagnetic problems based on compressive sensing
Abstract
The electromagnetic scattering problem over a wide incident angle can be
rapidly solved by introducing the compressive sensing theory into the
method of moments, whose main computational complexity is comprised of
two parts: a few calculations of matrix equations and the recovery of
original induced currents. To further improve the method, a novel
construction scheme of measurement matrix is proposed in this paper.
With help of the measurement matrix, one can obtain a sparse sensing
matrix, and consequently the computational cost for recovery can be
reduced by at least half. The scheme is described in detail, the
analysis of computational complexity and numerical experiments are
provided to demonstrate the effectiveness.