NDLI: Coifman wavelets in 3-D scattering from very rough random surfaces

Content Provider	IEEE Xplore Digital Library
Author	Pan, G.W. Ke Wang Cochran, D.
Copyright Year	1963
Abstract	The Coifman wavelets are employed to perform Galerkin's procedure in the method of moments (MoM). The Coiflets are continuous, smooth, overlapping, yet orthogonal, which permit significant reduction of the sampling rate and dramatic compression of the matrix size with respect to the pulse based MoM. In addition, the wavelet based impedance matrix is sparse. More importantly, the vanishing moments of the Coiflets of order L=4 provide us with high precision O(h/sup 5/) one-point quadrature, which knocks down the computational effort in filling the matrix entries from O(n/sup 2/) to O(n). Our approach is different from the conventional wavelet technique, which employs wavelets to sparsify an existing impedance matrix under similarity transformation with computational cost in O(n/sup 2/). Excellent agreement between this Coifman wavelet method and the previous publications is observed.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	3096
Ending Page	3103
Page Count	8
File Size	1032335
File Format	PDF
ISSN	0018926X
Volume Number	52
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Scattering Surface waves Rough surfaces Surface roughness Sparse matrices Moment methods Impedance Sampling methods Pulse compression methods Filling wavelets Green's function magnetic field integral equation rough surface
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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