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周期型多重二次半正交样条小波及对偶小波基
引用本文:朱少茗,舒适.周期型多重二次半正交样条小波及对偶小波基[J].湘潭大学自然科学学报,1999,21(4):28-32.
作者姓名:朱少茗  舒适
作者单位:湘潭大学数学系,湘潭,411105
摘    要:对周期型多重二次样条函数空间,给出了具有点消失矩性质的紧支集半正交小波基及对偶小波基,得到了相应的快速正交投影算法,最后给出了奇性检测性质.

关 键 词:周期型小波  多重半正交小波  奇性检测
修稿时间:1999年6月2日

On Semi - Orthogonal Wavelets Bases of Periodic Splines With Two- Deffct and Their Duals
Zhu Shaoming,Shu Shi.On Semi - Orthogonal Wavelets Bases of Periodic Splines With Two- Deffct and Their Duals[J].Natural Science Journal of Xiangtan University,1999,21(4):28-32.
Authors:Zhu Shaoming  Shu Shi
Abstract:In this paper, a multi-knots periodic spline space with three order is studied, and multi-knots semi-orthogonal spline bases of compactly supported wavelets with point vanishing moments properties can be constucted, and its dual bases also can be obtained. Then the fast scheme of function P mf is given. Finally, the property of sigularity detecting is obtained.
Keywords:periodic wavelet  multi-knots simi-orthogonal wavelets  sigularity detecting
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