Symbolic computation for moments and filter coefficients of scaling functions

DOI10.1007/S00026-005-0253-7zbMath1077.42030OpenAlexW2118924678MaRDI QIDQ2576469

Otmar Scherzer, Georg Regensburger

Publication date: 13 December 2005

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-005-0253-7

zbMATH Keywords

momentswaveletsGröbner basesdata compressionBell polynomialsscaling functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Symbolic computation and algebraic computation (68W30) Factorials, binomial coefficients, combinatorial functions (05A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60)

Related Items (3)

On the exact values of coefficients of coiflets ⋮ Shift unitary transform for constructing two-dimensional wavelet filters ⋮ Parametrizing compactly supported orthonormal wavelets by discrete moments

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