Impedance Matrix Compression (IMC) Using Iteratively Selected Wavelet-Basis

Abstract

In this paper we present a novel approach for the incorporation of wavelets into the solution of frequencydomain integral equations arising in scattering problems. In this approach, we utilize the fact that when the basis functions used are wavelet-type functions, only a few terms in a series expansion would be needed to represent the unknown quantity. Moreover, an iterative procedure is suggested to determine these dominant expansion functions. The new approach combined with the iterative procedure yields a new algorithm which has many advantages over the presently used methods for incorporating wavelets. Numerical results which illustrate the approach are presented for three scattering problems. I. Introduction W AVELET expansions have been employed recently in numerical solutions of commonly used frequencydomain integral equations [1], [2], [3], [4], [5]. In the conventional approach to the solution of these integral equations [1], the unknown quantity of interest (usually the cur..