On the Space of Orthonormal Wavelets: Additional Constraints to Ensure Two Vanishing Moments

@article{Paiva2009OnTS,
  title={On the Space of Orthonormal Wavelets: Additional Constraints to Ensure Two Vanishing Moments},
  author={Henrique Mohallem Paiva and Marcelo Nascimento Martins and Roberto Kawakami Harrop Galv{\~a}o and Juliana Pereira Paiva},
  journal={IEEE Signal Processing Letters},
  year={2009},
  volume={16},
  pages={101-104}
}
This letter extends the formulation developed by Sherlock and Monro for parameterization of orthonormal wavelet filter banks. Additional constraints are proposed to ensure that the resulting wavelets have at least two vanishing moments. The remaining degrees of freedom are re-parameterized in a convenient form, which results in a convex set of feasible parameter values. An example involving wavelet adaptation in the context of signal compression is presented for illustration. In this case, the… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 15 references

On the space of orthonormal wavelets

IEEE Trans. Signal Processing • 1998
View 8 Excerpts
Highly Influenced

Design of Regular Wavelets Using a Three-Step Lifting Scheme

IEEE Transactions on Signal Processing • 2007
View 1 Excerpt

On Two-Channel Filter Banks With Directional Vanishing Moments

IEEE Transactions on Image Processing • 2007
View 1 Excerpt

Wavelets and Subband Coding

Martin Vetterli, Jelena Kova
2007
View 1 Excerpt

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