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New filter banks and more regular wavelets

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2 Author(s)
Drouiche, K. ; CNRS, Univ. de Cergy Pontoise, France ; Kateb, D.

One of the most interesting features of a wavelet is its Sobolev regularity. In this paper, we construct new wavelets that are more regular than the Daubechies wavelets for a given support width. We tabulate the coefficients of the new filters to make them easily accessible. We show that these filters outperform the Daubechies filters in the L2 approximation of the ideal filter. An application for speech analysis, synthesis, and compression is provided

Published in:

Signal Processing, IEEE Transactions on  (Volume:47 ,  Issue: 8 )