UM
Multiresolution signal decomposition and approximation based on support vector machines
Shang Z.1; Tang Y.Y.1; Fang B.1; Wen J.1; Ong Y.Z.2
2008-07-01
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN02196913
Volume6Issue:4Pages:593-607
AbstractThe fusion of wavelet technique and support vector machines (SVMs) has become an intensive study in recent years. Considering that the wavelet technique is the theoretical foundation of multiresolution analysis (MRA), it is valuable for us to investigate the problem of whether a good performance could be obtained if we combine the MRA with SVMs for signal approximation. Based on the fact that the feature space of SVM and the scale subspace in MRA can be viewed as the same Reproducing Kernel Hilbert Spaces (RKHS), a new algorithm named multiresolution signal decomposition and approximation based on SVM is proposed. The proposed algorithm which approximates the signals hierarchically at different resolutions, possesses better approximation of smoothness for signal than conventional MRA due to using the approximation criterion of the SVM. Experiments illustrate that our algorithm has better approximation of performance than the MRA when being applied to stationary and non-stationary signals. © World Scientific Publishing Company.
KeywordMultiresolution analysis Non-stationary signals Reproducing kernel Signal approximation Support vector machines
DOI10.1142/S0219691308002513
URLView the original
Language英語
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Cited Times [WOS]:5   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Chongqing University
2.Hebei University of Technology
Recommended Citation
GB/T 7714
Shang Z.,Tang Y.Y.,Fang B.,et al. Multiresolution signal decomposition and approximation based on support vector machines[J]. International Journal of Wavelets, Multiresolution and Information Processing,2008,6(4):593-607.
APA Shang Z.,Tang Y.Y.,Fang B.,Wen J.,&Ong Y.Z..(2008).Multiresolution signal decomposition and approximation based on support vector machines.International Journal of Wavelets, Multiresolution and Information Processing,6(4),593-607.
MLA Shang Z.,et al."Multiresolution signal decomposition and approximation based on support vector machines".International Journal of Wavelets, Multiresolution and Information Processing 6.4(2008):593-607.
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