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

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).


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