Loop group factorization of biorthogonal wavelet bases (Q2702373)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Loop group factorization of biorthogonal wavelet bases |
scientific article |
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24 July 2001
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biorthogonal wavelets
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loop group
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factorization
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polyphase matrix
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decomposition of biorthogonal filters
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Loop group factorization of biorthogonal wavelet bases (English)
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Biorthogonal wavelets give rise to perfect reconstruction filters which are very useful in data compression. The authors propose a method of factorization of the corresponding polyphase matrix in factors of low computational complexity. The polyphase matrix is interpreted as a loop in \(\text{GL}(2,\mathbb{C})\). The main result of this paper is a simple algorithm for the decomposition of biorthogonal filters with finite impulse response into elementary filters.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].
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0.7756429314613342
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0.7688769698143005
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