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

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MR Zbl
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.
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 
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
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