Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. (English) Zbl 0792.42019

Cohen, A.; Daubechies, Ingrid

SIAM J. Math. Anal. 24, No. 2, 520-527 (1993).

Summary: Standard orthonormal bases of wavelets with dilation factor 2 use wavelets with one octave bandwidth. Orthonormal bases with \({1\over 2}\) octave or even smaller bandwidth wavelets are constructed. These wavelets are special cases of the “wavelet packet” construction by R. Coifman and Y. Meyer [“Orthonormal wavelet packet bases”, Yale University, preprint (1990)].
(For Part II see the preceding review).

MSC:

42C40	Nontrigonometric harmonic analysis involving wavelets and other special systems
46A35	Summability and bases in topological vector spaces

Keywords:

multiresolution analysis; wavelet packet; frequency resolution; orthonormal bases; bandwidth