LI Jian-ping, TANG Yuan-yan, YAN Zhong-hong, ZHANG Wan-ping. Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions[J]. Applied Mathematics and Mechanics, 2001, 22(5): 504-518.
Citation: LI Jian-ping, TANG Yuan-yan, YAN Zhong-hong, ZHANG Wan-ping. Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions[J]. Applied Mathematics and Mechanics, 2001, 22(5): 504-518.

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

  • Received Date: 2000-05-19
  • Rev Recd Date: 2001-01-10
  • Publish Date: 2001-05-15
  • 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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