Orthonormal Bases of Compactly Supported Wavelets III. Better Frequency Resolution

Abstract
Standard orthonormal bases of wavelets with dilation factor 2 use wavelets with one octave bandwidth. Orthonormal bases with 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 [Yale University, preprint, 1990].

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