TY - GEN
T1 - Wavelets
T2 - 1998 International Conference on Microwave and Millimeter Wave Technology, ICMMT 1998
AU - Pan, George
N1 - Funding Information:
I X . Ac I< N ow L E D G M E NTS This research was supported in part with funds from DARPA/ESTO under grant N00014-91-J- 4030 from the Office of Naval Research and Boeing Aerospace Co. under contract 133-P771. The authors wish to thank Dr. ,I. Murphy, DARPA/ESTO, Dr. Barry Gilbert, Mayo Foundation, Dr. L. Kabacoff, ONR. Dr. P. Young, Boeing, for support and helpful discussions, Mr. Jianyuan Du and Mr. Mikhail Toupikov, Arizona State University for the assistance.
Publisher Copyright:
© 1998 IEEE.
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
KW - Fast wavelet transform (FWT)
KW - Method of moments (MOM)
KW - Multiresolution analysis (MRA)
KW - Radar crosssection
KW - Wavelet
KW - p-n junction
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U2 - 10.1109/ICMMT.1998.768218
DO - 10.1109/ICMMT.1998.768218
M3 - Conference contribution
AN - SCOPUS:33645168100
T3 - ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings
SP - 23
EP - 35
BT - ICMMT 1998 - 1998 International Conference on Microwave and Millimeter Wave Technology, Proceedings
A2 - Liao, Fu-Jiang
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 18 August 1998 through 20 August 1998
ER -