Theory and application of wavelet based bi-orthonormal decomposition method in the solution of linear inverse problems in electromagnetics

Xiaojun Zhu, George Pan

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper, a wavelet based bi-orthonormal decomposition method is proposed and applied to the solution of linear inverse problems in electromagnetics. The unknown function is expanded into wavelets, where an adaptive algorithm is developed utilizing the multiresolution properties of the wavelet. The spectral domain method is used to find the bi-orthonormal bases for shift-invariant operators; and the wavelet decomposition method is formulated to construct the bi-orthonormal bases for general operators. The modified least square QR iterative method is employed to solve the resulting sparse matrix equations. Finally the method is used in the computation of the scattering of TM waves by an elliptic conducting cylinder.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
PublisherIEEE
Pages8-11
Number of pages4
Volume1
StatePublished - 1994
Externally publishedYes
EventProceedings of the IEEE Antennas and Propagation International Symposium. Part 3 (of 3) - Seattle, WA, USA
Duration: Jun 19 1994Jun 24 1994

Other

OtherProceedings of the IEEE Antennas and Propagation International Symposium. Part 3 (of 3)
CitySeattle, WA, USA
Period6/19/946/24/94

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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