Geodesic
An algebraic construction of discrete wavelet transforms
Applications of Mathematics, Tome 38 (1993) no. 3, pp. 169-193.

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Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices which can be built up from small matrix blocks satisfying certain conditions. A generalization of the finite support Daubechies wavelets is discussed and some special cases promising more rapid signal reduction are derived.
DOI : 10.21136/AM.1993.104545
Classification : 15A04, 42C15, 65F25, 65F30, 65T99
Keywords: orthogonal transform; wavelet; pyramidal algorithm; discrete wavelets; banded orthogonal matrices; orthogonal wavelets; signal reduction 
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Kautský, Jaroslav. An algebraic construction of discrete wavelet transforms. Applications of Mathematics, Tome 38 (1993) no. 3, pp. 169-193. doi : 10.21136/AM.1993.104545. http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104545/

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