Compactly supported orthonormal complex wavelets with dilation 4 and symmetry

Bin Han; Hui Ji

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Compactly supported orthonormal complex wavelets with dilation 4 and symmetry

机译：具有扩张4和对称性的紧支撑正交小波

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摘要

In this paper, we provide a family of compactly supported orthonormal complex wavelets with dilation 4 such that their generating wavelet functions have symmetry and the shortest possible supports with respect to their increasing orders of vanishing moments.

机译：在本文中，我们提供了一个具有扩张4的紧支撑正交正交小波族，使得它们的生成子波函数具有对称性，并且对于消失矩的增加阶数，其支持尽可能短。

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《Applied and Computational Harmonic Analysis》 |2009年第3期|422-431|共10页
作者
Bin Han; Hui Ji;
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作者单位

Department of Mathematical and Statistical Sciences, University of Alberta. Edmonton, Alberta, Canada T6C 2G1;

Department of Mathematics, National University of Singapore, Science Drive 2, Singapore, 117543;

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正文语种 eng
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关键词
orthonormal complex wavelets; symmetry; dilation factor; vanishing moments;

机译：正交复小波对称;膨胀因子消失的时刻;

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1. Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix [J] . Bin Han Journal of Computational and Applied Mathematics . 2003,第1期

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2. A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3 [J] . Yang Shouzhi, Shen Yanfeng, Li Youfa 数学物理学报（英文版） . 2012,第004期

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3. Parametrizing compactly supported orthonormal wavelets by discrete moments [J] . Georg Regensburger Applicable Algebra in Engineering, Communication and Computing . 2007,第6期

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7. Compactly supported orthonormal complex wavelets with dilation 4 and symmetry [O] . Han Bin, Ji Hui 2009

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8. Computing connection coefficients of compactly supported wavelets on bounded intervals [R] . Romine, C. H. , Peyton, B. W. 1997

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Compactly supported orthonormal complex wavelets with dilation 4 and symmetry

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