Discrete orthogonal M-band wavelet decompositions
- 1 January 1992
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 37 (15206149) , 605-608 vol.4
- https://doi.org/10.1109/icassp.1992.226325
Abstract
The authors generalize the discrete orthogonal two-band (or dyadic) wavelet decomposition to the M-band case. Specifically, it is shown that any finite energy signal can be explained in terms of the dilates and translates of M-1 M-band wavelets. The advantage of such decompositions is that they are much more compact than two-band wavelet decompositions. This compactness is important both in coding applications and for the development of fast signal processing algorithms. A complete characterization of discrete orthogonal M-band wavelets is given, including a recipe for constructing such wavelets.<>Keywords
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