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M帶正交子波包理論

張建康 保錚 焦李成

張建康, 保錚, 焦李成. M帶正交子波包理論[J]. 電子與信息學報, 1998, 20(1): 1-6.
引用本文: 張建康, 保錚, 焦李成. M帶正交子波包理論[J]. 電子與信息學報, 1998, 20(1): 1-6.
Zhang Jiankang, Bao Zheng, Jiao Licheng . THEORY OF M-BAND WAVELET PACKETS[J]. Journal of Electronics & Information Technology, 1998, 20(1): 1-6.
Citation: Zhang Jiankang, Bao Zheng, Jiao Licheng . THEORY OF M-BAND WAVELET PACKETS[J]. Journal of Electronics & Information Technology, 1998, 20(1): 1-6.

M帶正交子波包理論

THEORY OF M-BAND WAVELET PACKETS

  • 摘要: M帶正交子波基由于所具有的優(yōu)良特性得到了廣泛關(guān)注。2帶子波包具有劃分較高頻率倍頻程的能力,可用于改善子波對時間-頻率局部化的性能,推廣了信號的適用范圍。本文用類似于從2帶正交子波基擴展到2帶子波包的概念,建立了M帶子波包的的理論框架,并把有關(guān)2帶子波包的定義、概念和性質(zhì)推廣到一般的M帶子波包,給出了相應(yīng)的證明。
  • Coifman R R, Wickerhauser M. Entropy-based algorithms for best[2]Information Theory, 1992, IT-38(2): 713-718.[3]Gopinath R A, Burrus C S. Wavelet filter banks. in C.K.Chui, Ed.,[4]and Applications. New York: Academic, 1992, 603-654.[5]Heller P, Resikoff H W, Wells R O. Wavelet matrices and the representation of discrete functions: in C. K. Chui, Ed., Wavelets--A Tutorial in Theory and Applications. New York: Academic 1992,15-51.[6]Zou H, Tewfik A H. Discrete orthogonal M-band wavelet decomposition. in Proc.ICCSSP,San Francisco, CA: 1992, IV-605-IV-608.[7]Alkin O, Caglar H. Design of efficient M-band coders with linear-phase and perfect reconstruction properties. IEEE Trans. on Signal Processing, 1995, SP-43(7): 1579-1590.[8]Tewfik A H. Wavelet domain bearing estimation in unknown correlated noise IEEE ICASSP, 1994, IV-109-IV-112.[9]Daubechies I, Orthonormal bases of compactly supported wavelets. Comm[J].Pure Applied Math.1988, 41(3):909-996[10]Cohen A,et al. Biorthogonal bases of compactly supported wavelets. Comm. Pure Applied Math.,[11]92, 45(2): 485-560.[12]Lawton W M. Necessary and sufficient conditions for constructing orthonormal wavelets bases. J.[13]Math. Physics,1991,32 (1): 57-61.[14]Steffen P, et al. Theory of regular M-band wavelet bases, IEEE Trans. on SP, 1993, SP-41(12): 3497-3510.[15]Herley C, et al. Tiling of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms. IEEE Trans. on SP, 1993, 41(12): SP-3341-3359.
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  • 文章訪問數(shù):  1969
  • HTML全文瀏覽量:  84
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出版歷程
  • 收稿日期:  1996-06-20
  • 修回日期:  1997-04-17
  • 刊出日期:  1998-01-19

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