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Heuristic Searching Algorithm for Design Structurally Perfect Reconstruction Low Complex Filter Banks

  • Zhe Liu
  • Guangming Shi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4222)

Abstract

Filter banks are found many applications for images and signal processing. A lower complex filter banks are desired for their effective implementation. In this paper, we address a problem how to design low complex filter banks. A perfect restructure (PR) filter banks can be factorized by lifting steps and the procedure of factorization are described as multi-fork tree-structure. A heuristic-searching algorithm was proposed for finding the optimization PR filter banks with low dynamical coefficients. The given examples show the proposed method is effective.

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References

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    Chan, S.C., et al.: Multiplierless perfect reconstruction modulated filter banks with sum-of-powers-of-two coefficients. IEEE SP Letters 8(6), 163–166 (2001)CrossRefGoogle Scholar
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    Ying-Jui, C., et al.: Theory and factorization for a class of structurally regular biorthogonal filter banks. IEEE Trans. on SP 54(2), 691–700 (2006)CrossRefGoogle Scholar
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    Daubechies, I.C., et al.: Factoring Wavelet transform into lifting steps. J. Fourier Analy Application, 247–269 (1998)Google Scholar
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    Shi, G.M., et al.: Design of structurally PR two-channel FIR filter banks with linear phase. Chinese Journal of Electronics 11(2), 1–4 (2002)Google Scholar
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    Vaidyanathan, P.P.: Multirate systems and filter banks. Prentice-Hall, Englewood Cliffs (1993)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Zhe Liu
    • 1
  • Guangming Shi
    • 2
  1. 1.School of ScienceNorthwestern Polytechnical UniversityXi’anChina
  2. 2.School of Electronic EngineeringXidian UniversityXi’anChina

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