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A class of compactly supported symmetric/antisymmetric B-spline wavelets

Progress in Natural Science:Materials International 2005年第2期15卷 31-36页

作者： YANG Shouzhi* and LOU Zengjian(Department of Mathematics, Shantou University, Shantou 515063, China) Dept. of Mathematics Shantou Univ. Shantou 515063 China

An algorithm for constructing a class of compactly supported symmetric/antisymmetric B-spline wavelets is presented. For any mth order and kth order cardinal B-spline Nm(x), Nk(x), if m+k is an even integer, the corresponding mth order B-spline wavelets ψkm(x) can be constructed, which are compactly supported symmetric/antisymmetric. In addition, if ψkm(x), m>1 is mth B-spline wavelet associated with two spline functions Nm(x) and Nk(x), then (ψkm(x))′(x) is m-1th B-spline wavelet associated with N m-1(x) and N k+1(x), i.e. (ψkm(x))′(x)=22ψ k+1 m-1(x). Similarly, ∫x0ψkm(t)dt, k>1 is m+1th B-spline wavelet associated with N m+1(x) and N k-1(x). Using this method, we recovered Chui and Wang’s spline wavelets. Since a class of B-spline wavelets are symmetric/antisymmetric, their linear phase property is assured. Several examples are also presented.

关键词： compactly supported B-spline function B-spline wavelet symmetric antisymmetric

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Influence of vibration on spatiotemporal structure of the pattern in dielectric barrier discharge

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Chinese Physics B 2019年第7期28卷 339-344页

作者： Rong Han Li-Fang Dong Jia-Yu Huang Hao-Yang Sun Bin-Bin Liu Yan-Lin Mi College of Physics Science and Technology Hebei University

The influence of vibration on the spatiotemporal structure of the pattern in dielectric barrier discharge is studied for the first *** spatiotemporal structure of the pattern investigated by an intensified charge-coupled device shows that it is an interleaving of three sublattices, whose discharge sequence is small rods–halos–large spots in each half-cycle of the applied *** result of the photomultiplier indicates that the small rods are composed of moving *** moving mode of the moving filaments is determined to be antisymmetric stretching vibration by analyzing a series of consecutive images taken by a high-speed video *** antisymmetric stretching vibration affects the distribution of wall charges and leads to the ***, large spots are discharged only at the centers of the squares consisting of vibrating *** vibration mechanism of the vibrating filaments is dependent on the electric field of wall charges.

关键词： antisymmetric stretching vibration pattern dielectric barrier discharge

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