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A New Design Method of 9-7 Biorthogonal Filter Banks Based on Odd Harmonic Function

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Abstract

The floating-point implementation of a CDF-9-7 wavelet transform with irrational coefficients on a resource limited hardware platform is a challenging task. This paper presents a new design method of 9-7 biorthogonal wavelet filter bank (FB) based on classical Fourier theory, the so-called odd harmonic function (OHF) analysis. Three types of binary rational 9-7 biorthogonal wavelet FBs have been derived, considering vanishing moments in addition to the rationality of filter coefficients. The extensive experiments for the implementation of the new design on the SPIHT (Set Partitioning In Hierarchical Trees) platform have been conducted and the results show that the performance of the proposed new biorthogonal FBs is equal to, or in several cases outperforms the, CDF-9-7 FB.

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Authors and Affiliations

  1. College of Computer Science and Technology, Wuhan national Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Chen Jiazhong

  2. College of Computer and Information Engineering, Xinxiang University, Xinxiang, 453003, People’s Republic of China

    Gao Weixue

  3. College of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Ju Zengwei, Xia Tao, Ling Hefei & Chen Changnian

  4. China Mobile Hubei Branch, Wuhan, 430023, People’s Republic of China

    Wang Xian

Authors
  1. Chen Jiazhong
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  2. Gao Weixue
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  3. Ju Zengwei
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  4. Xia Tao
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  5. Ling Hefei
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  6. Chen Changnian
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  7. Wang Xian
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Correspondence to Chen Jiazhong.

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Jiazhong, C., Weixue, G., Zengwei, J. et al. A New Design Method of 9-7 Biorthogonal Filter Banks Based on Odd Harmonic Function. Circuits Syst Signal Process 31, 1245–1255 (2012). https://doi.org/10.1007/s00034-011-9372-z

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  • DOI: https://doi.org/10.1007/s00034-011-9372-z

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