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中心对称仿酉矩阵的研究 被引量:2

Research on Central-Symmetric Paraunitary
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摘要 我们通过对中心对称矩阵的讨论,给出了构造二元一次中心对称仿酉矩阵的充要条件,并给出了例子. In this paper, we discuss Central-Symmetric matrix at first, then we give the necessary and sufficient condition of constructing central-symmetric paraunitary matrix (each element is a bivariate polynomial of order one), and one example is also given.
出处 《数学的实践与认识》 CSCD 北大核心 2006年第3期288-291,共4页 Mathematics in Practice and Theory
关键词 二元一次多项式 中心对称矩阵 仿酉矩阵 bivariate polynomial of order one Central-Symmetric matrix paraunitary matrix
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参考文献4

  • 1Peng 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.
  • 2Peng S L, N dimensional finite wavelet filter[J]. Journal of Computational Marhematics, 2003, 21(5): 595-602.
  • 3Zhou J, Do M N, Kovacevic j. Special paraunitary matrices, cayley transform and multidimensional orthogonal filter banks[j]. IEEE Tran on Image Processing, 2006, 15(2): 511-519.
  • 4Wenjie He, Mingjun Lai. Example of bivariate nonseperable compactly supported orthonormal continuous wavelet[J]. Proceeding of SPIE, 1997, 3169: 303-314.

同被引文献17

  • 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
  • 2Peng 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.
  • 3Peng S L. N dimensional finite wavelet filter[ J]. Journal of computational marhematics, 2003,21 (5) :595 - 602.
  • 4Zhou J, Do M N, Kovacevic J. Special paraunitary matrices, eayley transform and multidimensional orthogonal filter banks [ J ]. IEEE Transactions on Image Processing, 2006,15 (2) : 511 - 519.
  • 5He Wenjie, Lai Mingjun, Example of bivariate nonseperable compactly supported orthonormal continuous wavelet [ J ]. IEEE Transactions on Image Processing IV, 2000,9 (5) : 949 - 953.
  • 6Danbechies I. Ten lectures on wavelets [ M ]. Siam Philadephia PA : Society for Industrial and Applied Mathematics, 1992.
  • 7Peng 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.
  • 8Peng S L. N dimensional finite wavelet filter[ J]. Journal of computational marhematics,2003,21 (5) :595-602.
  • 9He W J, Lai M J. Example of bivariate nonseperable compactly supported orthonormal continuous wavelet[ J]. IEEE Transactions on Image Processing,2000,9(5) :949-953.
  • 10Petukhov A. Construction of symmetric orthogonal bases of wavelets and tight frames with integer dilation factor[ J]. Appl Comput Harmon Anal,200d, 17 : 198-210.

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