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Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions

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Abstract

Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When N = 2k−1 and N = 2k, the unified analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and some other well-known wavelet filters are tested by the proposed novel method which is very useful for wavelet theory research and many application areas such as pattern recognition.

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Authors and Affiliations

  1. International Centre for Wavelet Analysis and Its Applications, Logistical Engineering University, Chongqing, 400016, P R China

    Jian-ping Li & Zhong-hong Yan

  2. Department of Computer Science, Hong Kong Baptist University, Hong Kong, P R China

    Yuan-yan Tang

  3. Department of Applied Mathematics, Chengdu Electronic University of Science and Technology of China, Chengdu, 610054, P R China

    Wan-ping Zhang

Authors
  1. Jian-ping Li
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  2. Yuan-yan Tang
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  3. Zhong-hong Yan
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  4. Wan-ping Zhang
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Li, Jp., Tang, Yy., Yan, Zh. et al. Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions. Applied Mathematics and Mechanics 22, 569–585 (2001). https://doi.org/10.1023/A:1016379903756

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