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1、Multiresolution Analysis(多分辨率分析)Peng Silong2008 03 PW: Peng301,1987, S. Mallat, and Y. Meyer,Professor of Applied Mathematics, Ecole Polytechnique, Centre de Mathmatiques Appliques Professor at the Courant Institute of Mathematical Science New York University was born jn Paris, France. He graduated
2、from Ecole Polytechnique, Paris, in 1984 and from Ecole Nationale Superieure des Telecommunications, Paris, in 1985. He received the Ph.D. degree in electrical engineering from the University of Pennsylvania, Philadelphia. PA, m 1988.,Two papers,A theory for multiresolution signal decomposition : th
3、e wavelet representation, IEEE Transaction on Pattern Analysis and Machine Intelligence, vol. 11, p. 674-693, July 1989. pdf, (引用8466次) Multiresolution approximation and wavelet orthonormal bases of L2, Transaction of the American Mathematical Society, vol. 315, p. 69-87, Sept. 1989 (引用1461 次),Befor
4、e MRA,Yves Meyer Meyer wavelet, 1986, (Ondelettes et oprateurs 小波与算子,译本),P. J. Burt and E. H. Adelson.,The Laplacian pyramid as a compact image code, 1983 ,IEEE TRANSACTIONS ON COMMUNICATIONS (引用2497次),Ingrid Daubechies,Ingrid DAUBECHIESOrthonormal bases of compactly supported wavelets, Comm. Pure &
5、amp; Appl. Math., 41 (7), pp. 909-996, 1988 (4845次),Some results,Some problems,Some examples,Haar system Meyer system,Biorthogonal wavelet,MRA vs filter bank,MRA : continuous function Filter bank: discrete signal,Example of Cascade,See matlab wavelet toolbox wavefun,Expansion coefficients vs sampling data,