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对称矩阵值函数空间的滤波器设计

The design of filter on symmetric matrix-valued function space
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摘要 利用矩阵值小波分析理论探讨对称矩阵值函数空间上的多分辨分析理论.另外,文章还给出了有限长对称矩阵值滤波器的设计. In this paper,we discuss the multi-resolution analysis on symmetric matrix-valued function space by using the theory of matrix-valued wavelet analysis.In addition,we derive several designs of finite length of symmetric matrix-valued filter.
出处 《广州大学学报(自然科学版)》 CAS 2012年第2期1-5,共5页 Journal of Guangzhou University:Natural Science Edition
基金 国家自然科学基金项目(10971039) 教育部博士点基金项目(200810780002)资助
关键词 尺度函数 小波函数 有限长滤波器 特征值 scaling function wavelet function finite length filter eigenvalue
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参考文献13

  • 1CHUI C K. An introduction to wavelets[M]. Boston, MA: Academic Press, 1992.
  • 2DAUBECHIES I. Ten lectures on wavelets [ M ]. CBMS-NSF Series in Appl Math, Vermont : SIAM Publ. Philadelphia, 1992.
  • 3FEICHTINGER H G, GROCHENING K H. Banach space related to integrable group representations and their atomic de- compositions[J]. J Funct Anal, 1989, 86: 307-340.
  • 4GOODMAN T N T, LEE S L. Wavelet of multiplicity r[J]. Trans Amer Math Soe, 1994, 342: 307-342.
  • 5GROSSMANN A, MORLET J. Decomposition of Hardy functions into square integrable wavelets of constant shape[J3. SI- AM J Math Anal, 1984, 15: 723-736.
  • 6HEIL C E, WALNUT D F. Continuous and discrete wavelet transforms[J]. SIAM Rev, 1989, 31 , 628-666.
  • 7MALLAT S. Multiresolution approximation and wavelet orthogonal bases of L2(R) [ J]. Trans Amer Math Soc, 1989, 315: 69-87.
  • 8WALDEN A T, SERROUKH A. Wavelet analysis of matrix-valued time-series[ J ]. Proc R Soe Lond, 2002, A458: 157- 179.
  • 9BAHRI M. Construction of quaternion-valued wavelets[J]. Matematika, 2010,26: 107-114.
  • 10HE Jian-xun, YU Bo. Wavelet analysis of quatemion-valued time-series[ J]. Intern J Wav, Muh Inf Proc, 2005, 3: 233- 246.

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