caa a22 4500 463202910 CHVBK 20180405153117.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00200-007-0054-9 doi (NATIONALLICENCE)springer-10.1007/s00200-007-0054-9 Regensburger Georg Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstraße 69, 4040, Linz, Austria aut Parametrizing compactly supported orthonormal wavelets by discrete moments [Elektronische Daten] [Georg Regensburger] We discuss parametrizations of filter coefficients of scaling functions and compactly supported orthonormal wavelets with several vanishing moments. We introduce the first discrete moments of the filter coefficients as parameters. The discrete moments can be expressed in terms of the continuous moments of the related scaling function. To solve the resulting polynomial equations we use symbolic computation and in particular Gröbner bases. The cases of four to ten filter coefficients are discussed and explicit parametrizations are given. Springer-Verlag, 2007 Orthonormal wavelets nationallicence Parametrization nationallicence Filter coefficients nationallicence Moments nationallicence Gröbner bases nationallicence Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/6(2007-12-01), 583-601 0938-1279 18:6<583 2007 18 200 https://doi.org/10.1007/s00200-007-0054-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-007-0054-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Regensburger Georg Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstraße 69, 4040, Linz, Austria aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/6(2007-12-01), 583-601 0938-1279 18:6<583 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer