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正交插值多子波理论和构造 被引量:2

Design of Interpolating Orthogonal Multiwavelet
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摘要 该文根据多子波采样定理,构造了正交插值多子波,从而可直接用信号的采样值作为初始值,使离散多子波变换的预滤波算子简化为单位算子。 This paper presents the construction of compactly supported, interpolating orthogonal multiwavelet based on wavelet sampling theorem.With the new interpolation orthogonal multiwavelet base, wavelet coefficients in the multiresolution representation can be directly obtained from a sampled signal. Thus the initialization of the discrete wavelet transform (prefiltering) can be simplified to the identity operator.
出处 《电子与信息学报》 EI CSCD 北大核心 2004年第11期1728-1732,共5页 Journal of Electronics & Information Technology
基金 国家自然科学基金(60133010和60372050)
关键词 多子波 多尺度函数 采样定理 预滤波 Multiwavelet, Multiscaling function, Sampling theorem, Prefilter
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参考文献9

  • 1Walter G G. A sampling theorem for wavelet subspaces. IEEE Trans. on Information Theory,1992, 38(2): 881-884.
  • 2Aldroubi A, Unser M. Families of wavelet transforms in connection with Shannon's sampling theory and the Gabor transform, In C. K. Chui, editor, Wavelets: A tutorial in theory and applications, New York: Academic Press, 1992: 509-528.
  • 3Aldroubi A, Unser M. Families of multiresolution and wavelet spaces with optimal properties.Numer. Funct. Anal. Optim., 1993, 14(5): 417-446.
  • 4Aldroubi A, Unser M. Sampling procedures in function spaces and asymptotic equivilence with Shannon's sampling theory, Numer. Funct. Anal. Optim., 1994, 15(1): 1-21.
  • 5Unser M, Zerubia J. A generalized sampling theory without bandlimiting constraints. IEEE Trans. on Circuits and Systems Ⅱ, 1998, 45(8): 959-969.
  • 6Sweldens W, Piessens R. Wavelet sampling techniques, In 1993 Proceedings of the Statistical Computing Section, American Statistical Association, 1993: 20-29.
  • 7Zhou D X. Interpolatory orthogonal multiwavelets and refinable functions. IEEE Trans. on Signal Processing, 2002, 50(3): 520-527.
  • 8Xia X G, Suter B W. Vector-valued wavelets and vector filter banks. IEEE Trans. on Signal Processing, 1996, 44(3): 508-518.
  • 9Xia X G, Zhang Z. On sampling theorem, wavelets and wavelet transform. IEEE Trans. on Signal Processing, 1993, 41(12): 3524-3535.

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