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Multiresolution analysis

About: Multiresolution analysis is a research topic. Over the lifetime, 4032 publications have been published within this topic receiving 140743 citations. The topic is also known as: Multiresolution analysis, MRA.


Papers
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Journal ArticleDOI
TL;DR: Experimental results show that the enhanced image quality by using the wavelet-based enhancement algorithm is much better than the other existing methods for improving the minutiae detection.

122 citations

Journal ArticleDOI
TL;DR: In this article, a fast detection scheme for symmetrical fault during power swing for distance relay, which is based on extracting the high-frequency component energy of forward and backward traveling waves induced by faults, is presented.
Abstract: The power swing caused by various disturbances will affect distance relay behavior and may result in relay misoperation. This paper provides a fast detection scheme for symmetrical fault during power swing for distance relay, which is based on extracting the high-frequency component energy of forward and backward traveling waves induced by faults. The multiresolution analysis based on wavelet transform has the ability to decompose the analyzed signals into different frequency bands. The selection of mother wavelet and the number of levels of wavelet transform are carefully studied. The fault can be identified by feature extracting from the d1 component of Daubechies-8 (Db8) wavelet transform. The proposed approach is verified by using the IEEE reference model implemented by using the Alternate Transients Program and the test results have been presented in this paper. This proposed method can be used for distance relay operation blocking or monitoring.

122 citations

Journal ArticleDOI
TL;DR: Drawing on the rich theory of wavelets, a system identification scheme based on orthogonal wavelets is proposed and illustrated by applying the procedure to determine a speed-controller for an electric vehicle.
Abstract: Compactly supported orthogonal wavelets have certain properties that are useful for system identification and learning control. Drawing on the rich theory of wavelets, we propose a system identification scheme based on orthogonal wavelets. Better accuracy of estimation can be obtained by adding more terms to the wavelet based identifier, and these terms do not alter the coefficients of the existing terms. These terms can be selectively added depending upon the region of interest, for example we may require more terms in regions where the identified functions vary rapidly. We illustrate the concepts by applying the procedure to determine a speed-controller for an electric vehicle.

122 citations

Journal ArticleDOI
Wing Kam Liu1, Sukky Jun1, Dirk Thomas Sihling1, Yijung Chen1, Wei Hao1 
TL;DR: In this paper, the reproducing kernel particle method (RKPM) is used for multiresolution analysis based on the Reproducing Kernel Particle Model (RPM) for computational fluid dynamics.
Abstract: Multiresolution analysis based on the reproducing kernel particle method (RKPM) is developed for computational fluid dynamics. An algorithm incorporating multiple-scale adaptive refinement is introduced. The concept of using a wavelet solution as an error indicator is also presented. A few representative numerical examples are solved to illustrate the performance of this new meshless method.

121 citations

Book
27 Nov 2008
TL;DR: In this article, the authors introduce the concept of wavelet-Galerkin methods for elliptic boundary value problems and apply them in a variety of applications, e.g., the following:
Abstract: 1. Introduction 2. Mulitscale Approximation and Multiresolution 3. Elliptic Boundary Value Problems 4. Multiresolution Galerkin Methods 5. Wavelets 6. Wavelet-Galerkin Methods 7. Adaptive Wavelet Methods 8. Wavelets on General Domains 9. Some Applications APPENDICES REFERENCES INDEX

120 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202320
202252
202159
202070
201969
201879