Integration of CS into MoM for Efficiently Solving of Bistatic Scattering Problems

Abstract

In this letter, the compressive sensing (CS) is utilized to accelerate the matrix filling procedure of the traditional method of moments (MoM). Instead of constituting a fully populated matrix as the traditional MoM typically does, the CS technology allows one to establish an underdetermined linear system, and the unknown induced currents can be reconstructed by finding the smallest possible $\ell _1 $ norm solutions to the underdetermined linear system. Thus, the number of computations required for constructing the impedance matrix and for solving the unknown induced currents can be reduced dramatically. The ideas can be exploited in the context of bistatic scattering from an arbitrary target. Numerical simulations are presented, and the results are compared to those obtained from traditional MoM to illustrate the validity and the efficiency of the proposed method.