Title :
New filter banks and more regular wavelets
Author :
Drouiche, Karim ; Kateb, Djalil
Author_Institution :
CNRS, Univ. de Cergy Pontoise, France
fDate :
8/1/1999 12:00:00 AM
Abstract :
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
Keywords :
channel bank filters; data compression; low-pass filters; polynomial approximation; speech coding; speech synthesis; wavelet transforms; L2 approximation; Sobolev regularity; coefficients; compression; filter banks; ideal filter; speech analysis; synthesis; wavelet; Channel bank filters; Filter bank; Performance analysis; Polynomials; Signal analysis; Signal processing; Signal synthesis; Speech analysis; Speech synthesis; Wavelet analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
