1993•SIAM Journal on Mathematical AnalysisRequires access
On the Instability of Arbitrary Biorthogonal Wavelet Packets
Albert Cohen, Ingrid C. Daubechies
Open publisher page 82 citations
Abstract
Starting from a multiresolution analysis and the corresponding orthonormal wavelet basis, Coifman and Meyer have constructed wavelet packets, a library from which many different orthonormal bases can be picked. This paper proves that when the same procedure is applied to biorthogonal wavelet bases, not all the resulting wavelet packets lead to Riesz bases for $L^2 (\mathbb{R})$.