TY - JOUR
T1 - Orthogonal wavelets with applications in electromagnetics
AU - Pan, George
N1 - Funding Information:
Manuscript received July 10, 1995 Guangwen Pan is a Professor in the Electrical Engineering Department, Arizona State University, Tempe, AZ 85287-7206. This research was supported in part with funds from ARPA/NRaD under grant N66001-94-C-0051 and from ARPA/ESTO under grant N00014-91-5-4030 from the Office of Naval Research.
PY - 1996
Y1 - 1996
N2 - A topic of considerable current interest in applied mathematics is wavelets. The promises of wavelets arc 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 this paper we introduce the basic wavelet theory, summarize the wavelet properties and present the applications of orthogonal wavelets to the eddy current and EM wave scattering problems.
AB - A topic of considerable current interest in applied mathematics is wavelets. The promises of wavelets arc 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 this paper we introduce the basic wavelet theory, summarize the wavelet properties and present the applications of orthogonal wavelets to the eddy current and EM wave scattering problems.
KW - Fast wavelet transform (FWT)
KW - Method of moments (MoM)
KW - Multiresolution analysis (MRA)
KW - Radar cross-section
KW - Wavelet
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U2 - 10.1109/20.497404
DO - 10.1109/20.497404
M3 - Article
AN - SCOPUS:0030146504
SN - 0018-9464
VL - 32
SP - 975
EP - 983
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
IS - 3 PART 2
ER -