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IEEE Transactions on Antennas and Propagation
Volume 46 Number 2, February 1998

Impedance Matrix Compression (IMC) Using Iteratively Selected Wavelet Basis

Page 226.

Abstract:

In this paper, we present a novel approach for the incorporation of wavelets into the solution of frequency-domain 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 are needed to represent the unknown quantity. To determine these dominant expansion functions, an iterative procedure is devised. The new approach combined with the iterative procedure yields a new algorithm that has many advantages over the presently used methods for incorporating wavelets. Numerical results which illustrate the approach are presented for three scattering problems.

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