orthogonal transform; wavelet; pyramidal algorithm; discrete wavelets; banded orthogonal matrices; orthogonal wavelets; signal reduction
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.
 S. Mallat: A theory for multiresolution signal decomposition: The wavelet representation
. IEEE Trans. Pattern Anal, and Machine Intell. 11 (1989), 674-693. DOI 10.1109/34.192463
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