期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

具有消失矩的新二元正交小波 被引量：3

New bivariate orthogonal wavelets with vanishing moments
原文传递
导出
摘要 研究了一类新二元紧支撑正交小波的构造方法,由此构造方法可得到一类新的二元张量积(可分的)小波和二元非张量积(不可分)小波,而且构造过程较为简单.在给出详细的构造方法的同时,讨论了这类新的二元小波所具有的消失矩性质,最后给出一些具体的例子对方法进行了验证. A new method of construction of bivariate compactly supported orthogonal wavelets is proposed.Some new bivariate separable and bivariate non-separable wavelets can be obtained by the constructing method and the method is so simple.Giving the detail of the constructing method,the vanishing moments properties of this new bivariate wavelets are also discussed. Some numerical examples are given at last to demonstrate our method.
作者 徐应祥 关履泰
机构地区 中山大学科学计算与计算机应用系 西北师范大学数学与信息科学学院
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第4期385-391,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 教育部高等学校博士点科研基金资助项目(200805581022)
关键词 正交小波 紧支撑 非张量积 尺度函数 共轭滤波器 orthogonal wavelet compactly supported non-tensor product scaling function conjugate filter
分类号 O174.2 [理学—基础数学]
  • 相关文献

参考文献10

  • 1DAUBECHIES I. Orthonormal bases of compactly supported wavelets [ J]. Comm Pure and Appl Math, 1988,41:909-996.
  • 2DAUBECHIES I. Lectures on wavelets[ M ]. Philadelphia:Society for Industrial and Applied Mathematics, 1992.
  • 3ANDREAS R. The wavelet transform on Sobolev spaces and its approximation properties [ J ]. Numer Math, 1991,58:875-894.
  • 4KAROUI A. A note on the design of nonseparable orthonormal wavelet bases of L2 ( R3 ) [ J ]. Applied Mathematics Letters, 2005,18 ( 3 ) :293 -298.
  • 5LI Y Z. On the holes of a class of bidimensional nonseparable wavelets [ J ]. Journal of Approximation Theory ,2003,125 (2) : 151-168.
  • 6HE W J, LAI M J. Construction of trivariate compactly supported biorthogonal box spline wavelets [ J ]. Journal of Approximation Theory ,2003,120 : 1-19.
  • 7SKOPINA M. On construction of multivariate wavelets with vanishing moments[ J]. Appl Comput Harmon Anal ,2006,20:375- 390.
  • 8黄永东,程正兴.三元正交小波的构造[J].应用数学,2006,19(1):176-182. 被引量：3
  • 9陈励,王学仁.回归函数断点的小波识别方法[J].云南大学学报（自然科学版）,2002,24(1):1-4. 被引量：3
  • 10陈清江,张同琦,程正兴,李学志.一类多重向量值双正交小波包的刻划[J].云南大学学报（自然科学版）,2006,28(6):472-477. 被引量：7

二级参考文献21

  • 1陈清江,程正兴,冯晓霞.高维多重双正交小波包[J].应用数学,2005,18(3):358-364. 被引量：21
  • 2[1]YIN Y Q. Detection of the number, locations and magnitudes of jumps[J ]. Commun Statist, 1998, C4: 445-455.
  • 3[2]WU J S, CHAU C K. Kernel type estimation of jump points and values of a regression function [ J ]. Ann Statist, 1993, 21(3): 1 545-1 566.
  • 4[3]BRILLINGER D R. Some uses of cumulants in wavelet analysis[J]. Nonparamatric Statistics, 1995, 10( 1 ): 1-22.
  • 5[4]WANY Y. Jump and sharp cursp detection by wavelets[J]. Biometrika, 1997, 82 (2): 385-397.Wavelets Detection of Jump Points in Regression Model
  • 6Blogay E,Wang Y. Aritraily smooth orthogonal nonseparable wavelets in R^2[J]. SIAM. J. Math. Anal.,1999,30(3) :678-697.
  • 7He W, Lai M J. Examples of bivariate nonseparable compactly supported continuous wavelets[J]. IEEE.Trans. Signal Process,2000,9(5):949-953.
  • 8Chen A, Daubechies I. Non separable bidimension wavelets bases[J]. Rev. Mat. Iberoameiciana, 1993,9(1) :51-137.
  • 9He W,Lai M J. Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrary high regularities[J]. Appl. Comp. Harmon. Anal. , 1999,6 (1) : 53 - 74.
  • 10Han B. Symmetric multivariate orthogonal refinable function[J]. Appl. Comp. Harmon. Anal. , 2004,17(3) :277-292.

共引文献10

同被引文献27

  • 1金琪,戴汝为.基于矩表示的小波不变量[J].模式识别与人工智能,1995,8(3):179-187. 被引量：14
  • 2杨守志,李尤发.具有高逼近阶和正则性的双向加细函数和双向小波[J].中国科学（A辑）,2007,37(7):779-795. 被引量：30
  • 3KINGSBURY N G.The dual-tree complex wavelet transform[J].IEEE Singnal Processing Magazine,2005,123-152.
  • 4KINGSBURY N G.A dual-tree complex wavelete transform with improved orthogonality and symmetry properties[D].In Proc.IEEE Int.Conf.Image Processing,Vancouver,BC,Canada,Sept.10-13,2000,vol.2,375-378.
  • 5BURCIN Ozmen.Complex linear-phase biorthogonal filterbanks with approximately analytic wavelets[J].Signal processing,2009,(89):599 -604.
  • 6KINGSBURY N G.Complex wavelets for shift invariant analysis and filtering of signals[J].Applied and Computational Harmonic Analysis,2001,10(3):34-253.
  • 7WANG Yanxue,HE Zhengjia,ZI Yanyang.Enhancement of signal denoising and multiple fault signatures detecting in rotating machinery using dual-tree complex wavelet transform[J].Mechanical Systems and Signal Processing,2009,(36):46-56.
  • 8Shannon CE.Communication in the prensence of noise[J].Proc IRE,1949,37(1):10-21.
  • 9Walter GG.A sampling theorem for wavelet subspaces[J].IEEE Trans Inform Theory,1992,38(4):881-884.
  • 10Janssen AJEM.The Zak transform and sampling theorems for wavelet subspaces[J].IEEE Trans Signal Processing,1993,41(12):3360-3365.

引证文献3

二级引证文献5

云南大学学报（自然科学版）
2010年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部