采用Homotopy方法构造Coifman
首发时间:2006-06-29
摘要:The Coifman wavelet (Coiflet) has better symmetry and better regularity than the Daubechies wavelet, because it has more vanishing moments for the scaling function. The Coiflet has proven to be a popular and effective basis in the signal and image processings. Daubechies first constructed the Coiflets. Tian and Wells constructed ones by different methods later. Wei proposed the generalized Coifman criterion. They used Newton’s method. According to Bezout’s theorem, the Coiflet solutions are a finite set for a given order of vanishing moments. The Coiflets given by Daubechies,Tian,Wells and Wei are only some particular solutions for each order. For various order and offset, we have constructed a number of Coiflets,of which eight filter coefficients and plots are given. The homotopy method is used instead of Newton’s method. The homotogy method is more effective.
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Coifman Wavelet Construction Using Homotopy Method
Abstract:The Coifman wavelet (Coiflet) has better symmetry and better regularity than the Daubechies wavelet, because it has more vanishing moments for the scaling function. The Coiflet has proven to be a popular and effective basis in the signal and image processings. Daubechies first constructed the Coiflets. Tian and Wells constructed ones by different methods later. Wei proposed the generalized Coifman criterion. They used Newton’s method. According to Bezout’s theorem, the Coiflet solutions are a finite set for a given order of vanishing moments. The Coiflets given by Daubechies,Tian,Wells and Wei are only some particular solutions for each order. For various order and offset, we have constructed a number of Coiflets,of which eight filter coefficients and plots are given. The homotopy method is used instead of Newton’s method. The homotogy method is more effective.
Keywords: Coifman wavelet, Homotopy method,
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