Wavelets: A promising approach to linear and nonlinear modeling of electromagnetic problems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A topic of considerable current interest in applied mathematics is wavelets. The promises of wavelets are based upon their localization in both spatial and spectral domains, better convergence properties, their computational speed, and the two parameter invariance under analytic representations. Recently Wavelets have been used in signal processing and computer vision with great success. In electromagnetics (EM), orthonormal wavelets have been applied to the method of moments as basis and testing functions in the integral equations to replace the pulse, triangle, and PWS (piecewise sinusoidal) functions. Very sparse coefficient matrices have been obtained due to the vanishing moments, localization, and MRA (multiresolution analysis) of the wavelets. In the modeling of microwave active devices, the interpolating wavelets (IWL) were employed to solve nonlinear equations with great success. In this paper we introduce the basic wavelet theory, summarize the wavelet properties and present the applications of wavelets to the lossy and dispersive transmission lines, EM wave scattering and semiconductor modeling problems.

Original languageEnglish (US)
Title of host publicationICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings
EditorsFu-Jiang Liao
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages23-35
Number of pages13
Volume1998-August
ISBN (Electronic)0780343085, 9780780343085
DOIs
StatePublished - Jan 1 1998
Event1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998 - Beijing, China
Duration: Aug 18 1998Aug 20 1998

Other

Other1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998
CountryChina
CityBeijing
Period8/18/988/20/98

Fingerprint

Electromagnetic wave scattering
electromagnetism
Multiresolution analysis
electromagnetic scattering
method of moments
computer vision
mathematics
wave scattering
Method of moments
Invariance
Nonlinear equations
triangles
Computer vision
transmission lines
nonlinear equations
Integral equations
integral equations
signal processing
invariance
Electric lines

Keywords

  • Fast wavelet transform (FWT)
  • Method of moments (MOM)
  • Multiresolution analysis (MRA)
  • p-n junction
  • Radar crosssection
  • Wavelet

ASJC Scopus subject areas

  • Instrumentation
  • Computer Networks and Communications

Cite this

Pan, G. (1998). Wavelets: A promising approach to linear and nonlinear modeling of electromagnetic problems. In F-J. Liao (Ed.), ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings (Vol. 1998-August, pp. 23-35). [768218] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMMT.1998.768218

Wavelets : A promising approach to linear and nonlinear modeling of electromagnetic problems. / Pan, George.

ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings. ed. / Fu-Jiang Liao. Vol. 1998-August Institute of Electrical and Electronics Engineers Inc., 1998. p. 23-35 768218.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Pan, G 1998, Wavelets: A promising approach to linear and nonlinear modeling of electromagnetic problems. in F-J Liao (ed.), ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings. vol. 1998-August, 768218, Institute of Electrical and Electronics Engineers Inc., pp. 23-35, 1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998, Beijing, China, 8/18/98. https://doi.org/10.1109/ICMMT.1998.768218
Pan G. Wavelets: A promising approach to linear and nonlinear modeling of electromagnetic problems. In Liao F-J, editor, ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings. Vol. 1998-August. Institute of Electrical and Electronics Engineers Inc. 1998. p. 23-35. 768218 https://doi.org/10.1109/ICMMT.1998.768218
Pan, George. / Wavelets : A promising approach to linear and nonlinear modeling of electromagnetic problems. ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings. editor / Fu-Jiang Liao. Vol. 1998-August Institute of Electrical and Electronics Engineers Inc., 1998. pp. 23-35
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