Optimal model for 4-band biorthogonal wavelets bases for fast calculation

  title={Optimal model for 4-band biorthogonal wavelets bases for fast calculation},
  author={Qingyun Zou and Guoqiu Wang},
  booktitle={Journal of inequalities and applications},
A class of 4-band symmetric biorthogonal wavelet bases has been constructed, in which any wavelet system the high-pass filters can be determined by exchanging position and changing the sign of the two low-pass filters. Thus, the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reversed for application requirement. Some concrete examples with high vanishing moments are also given, the properties of the transformation matrix are studied and the optimal… CONTINUE READING

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Matrix extension with symmetry and construction of biorthogonal multiwavelets with any integer dilation

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