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滤波长度为5的双正交多尺度分析的构造 被引量：5

CONSTRUCTION OF MRAS WITH FILTER LENGTH 5
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摘要 In this paper, a general construction of biorthonormal multiresolution analyses with length 5 is studied. Both the existence of unique symmetric biorthonormal MRAs and the inexistence of antisymmetric ones are also proved. The regularity of the scale functions is analyzed and some examples are given at last. In this paper, a general construction of biorthonormal multiresolution analyses with length 5 is studied. Both the existence of unique symmetric biorthonormal MRAs and the inexistence of antisymmetric ones are also proved. The regularity of the scale functions is analyzed and some examples are given at last.
作者 黄达人 刘九芬 李峰
机构地区 中山大学科学计算与计算机应用系
出处 《计算数学》 CSCD 北大核心 2002年第2期177-178,共2页 Mathematica Numerica Sinica
基金 国家自然科学基金重点项目(No.69735020) 国家自然科学基金(19871095) 广东省自然科学基金(990227)
关键词 滤波长度 双正交多尺度分析 多尺度分析 尺度函数 双正交小滤基 小波分析 Multiresolution Analysis, Scaling Function, Biorthonor- mal Wavlet Base
分类号 O241.86 [理学—计算数学]
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参考文献12

  • 1[1]Daubechies I. Orthonomal Bases of Compactly Supported Wavelets, Comm. Pure Appl.Math., 41 (1998), 909-996.
  • 2[2]Daubechies I. Ten Lectures on Wavelets. Society for Industrial and Applied Mathemathics,Philadelphia, 1992.
  • 3[3]Mallat S. Multiresoution Approximations and Wavelet Orthonomal Basis of L2 (R), Trans.Amer. Soc., 315 (1989), 69-87.
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  • 10[10]Lihua Yang and Feng Li. Construction of MRAs with Length 3. Lecture Notes in Scientific Computation, International Culture Publishing Inc. 2000.

同被引文献18

  • 1杨兴明,张培仁,陈锐锋.B样条小波基在信号去噪中应用与性能分析[J].现代雷达,2006,28(7):62-66. 被引量：4
  • 2StephaneMallat著 杨力华 戴道清 黄文良等译.信号处理的小波导论[M].北京：机械工业出版社,2002..
  • 3Mallat S. Multiresoution approximations and wavelet orthonomal basis of L2 (R)[J]. Transaction of American Mathematics Society, 1989, 315: 69-87.
  • 4Lemarie P G. Prohection operators in multiresolution analysis[J]. ProcSymin Appl Math, 1993, 47: 59-76.
  • 5Lawton W. Necessary and sufficient conditions for constructing orthogonal wavelet bases[J]. Journal of Math Phys, 1991, 32: 57-61.
  • 6Yang Lihua, Li Feng. Construction of MRAs with length 3[C]//Proc of Scientific Computer Applications, Lecture Notes in Scientific Computation. Beijing: International Culture Publishing Inc, 2000.
  • 7Donoho D L. De-noising by soft-threshholding [J]. IEEE Transactions on Information Theory, 1995, 41 (3): 613-627.
  • 8MEERWALD P, UHL A. Watermark security via wavelet parametrization//IEEE Int Conf on Image Processing[C].2001, 3 : 1027 - 1030.
  • 9LIN E T, DELP E J. A review of fragile image watermarks///Proc of the Multimedia and Security Workshop[ C]. 1999, 25.
  • 10DAUBECHIES I. Ten lectures on wavelets. Society for Industrial and Applied Mathematics[ M], nontpelier: Capital City Press, 1992.

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计算数学
2002年 第2期

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