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General Design of Wavelet High-Pass Filters from Reconstructional Symbol

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Book cover Wavelet Analysis and Its Applications (WAA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2251))

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Abstract

For given reconstructional low-pass filters, the general solutions of matrix equation \( \tilde M(\xi )M^* (\xi ) = I \) for the construction of orthogonal or biorthogonal wavelet filter banks are presented. Keywords: matrix equation, MRA, wavelets, filter.

This work was supported by the Foundation for University Key Teacher by the Ministry of Education of China, NSFC(19871095) and GPNSFC(990227).

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References

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Author information

Authors and Affiliations

  1. Department of Scientific Computing and Computer Applications, Zhongshan University, 510275, Guangzhou, P. R. China

    Lihua Yang & Qiuhui Chen

  2. Department of Computer Science, Hong Kong Baptist University, HongKong

    Yuan Y. Tang

Authors
  1. Lihua Yang
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  2. Qiuhui Chen
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  3. Yuan Y. Tang
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong

    Yuan Y. Tang , Pong C. Yuen  & Chun-hung Li ,  & 

  2. Department of Mathematics, Washington University, Cupples I, Campus Box 1146, 63130, St. Louis, Missouri, USA

    Victor Wickerhauser

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© 2001 Springer-Verlag Berlin Heidelberg

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Yang, L., Chen, Q., Tang, Y.Y. (2001). General Design of Wavelet High-Pass Filters from Reconstructional Symbol. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_40

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  • DOI: https://doi.org/10.1007/3-540-45333-4_40

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43034-6

  • Online ISBN: 978-3-540-45333-8

  • eBook Packages: Springer Book Archive

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