A stability criterion for biorthogonal wavelet bases and their related subband coding scheme (Q1210428)
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scientific article; zbMATH DE number 179218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A stability criterion for biorthogonal wavelet bases and their related subband coding scheme |
scientific article; zbMATH DE number 179218 |
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A stability criterion for biorthogonal wavelet bases and their related subband coding scheme (English)
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8 August 1993
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It is shown that in the consideration of bi-orthogonal (and non- orthogonal) wavelets, a pair of dual filters does not necessarily lead to a pair of stable bi-orthogonal wavelet bases. The objective of this paper is to derive a stability criterion in terms of the action under a so- called transition operator and its dual. The criterion is that the spectra of both operators lie inside the unit circle.
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dual filters
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bi-orthogonal wavelet bases
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stability criterion
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