期刊文献+

一类二维小波正交共轭滤波器的设计 被引量:1

Construction of conjugate quadrature filter on bivariate wavelet
下载PDF
导出
摘要 高维小波分析是分析和处理多维信号的有力工具.构造正交尺度函数与小波函数关键是构造小波滤波器,张量积形式构造出的小波滤波器存在明显缺陷.给出了一种基于余弦函数构造二维小波正交共轭滤波器方法. High-dimensional wavelet analysis is a powerful tool to analyze and deal with multidimensional signal.The key of construction of orthogonal scaling function and wavelet function is construction of wavelet filters.There existed obvious fault constructing wavelet filters by tensor product.This paper offered a method constructing conjugate quadrature filter of bivariate wavelet based on cosine function.
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2011年第5期754-756,共3页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 黑龙江省自然科学基金(A200902) 黑龙江省博士后基金资助项目(10771046) 黑龙江省教育厅项目(11553060)
关键词 小波滤波器 正交尺度函数 余弦函数 wavelet filters orthogonal scaling function cosine function.
  • 相关文献

参考文献7

  • 1DAUBECHIES I. Lectures on wavelets [ M ]. Philadelphia Society Industrial and Applied Mathematics 1992.
  • 2DAUBECHIES I. Orthonormal basea of compactly supported wavelets [J]. Comm Pure Apply Math, 1998, 41 : 909 -996.
  • 3HAN B. Symmetry property and construction of wavelets with a general ilation matrix [J] Linear Algebra Apply, 2002, 35,207 - 225.
  • 4杨建伟,程正兴,郭秀兰.紧支撑二元正交小波滤波器的构造[J].应用数学学报,2004,27(2):246-253. 被引量:9
  • 5BELOGAY E, WANG Y. Arbitarily smooth orthogonal nonsepa- table wavelets in R2 [ J]. SIAMJ Math Anal, 1999, 315 : 69 - 87.
  • 6李林杉,彭思龙,邢春峰.二维正交小波滤波器的逼近[J].数学的实践与认识,2010,40(5):129-134. 被引量:1
  • 7龙瑞林.高维小波分析[M].北京:世界图书出版社,1995.

二级参考文献14

  • 1李林杉,彭思龙.基于仿酉矩阵的紧支撑二元正交小波滤波器组的构造[J].计算数学,2006,28(3):309-320. 被引量:4
  • 2He W J, Lai M J. Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities[J]. Applied comput, Harmonic Analysis, 1999, 6: 63-74.
  • 3Peng S L. Construction of two-dimensional compactly supported orthogonal wavelet filter with linear phase[J]. Acta Mathematica Sinica, English Sieries, 2002, 18(4): 1-8.
  • 4Mallat S. Multiresolution approximations and wavelet orthonormal basis of L2 (R)[J]. Trans, Amer math, Soe, 1989, 315: 69-87.
  • 5Zhou J, Do M N, and Kovacevic J. Special paraunitary matrices, cayley transform and multidimensional orthogonal filter banks[J]. IEEE Transactions on Image Processing, 2006, 15(2): 511-519.
  • 6Wang H J, Chen T, Peng S L. A novel method for desiging adaptive compaction orthogonal wavelet filter banks[A]. In : International Conference of Image Processing, Barcelona, 2003. 1041-1044.
  • 7Kovacevic J, Vetterli M A. Non Separable Two and Three Dimensional Wavelets. IEEE Trans Signal Process., 1995, 43(5): 1269-1272
  • 8Blogay E, Wang Y. Arbitraily Smooth Orthogonal Nonseparable Wavelets in R2. SIAM J. Math Anal., 1999, 30(3): 678-697
  • 9He W, Lai M J. Examples of Bivariate Nonseparable Compactly Supported Continuous Wavelets.IEEE Trans. Image Process., 2000, 9(5): 949-953
  • 10Grochenig K, Madych W. Haar Bases and Self-similar Tilings. IEEE Trans. Inform. Theory, 1992,38:556-568

共引文献8

同被引文献8

引证文献1

二级引证文献2

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