Gröbner bases and multidimensional FIR multirate systems

DOI10.1023/A:1008299221759zbMath0869.93024OpenAlexW2056560377MaRDI QIDQ678233

Martin Vetterli, Hyungju Park, Ton A. C. M. Kalker

Publication date: 8 September 1997

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008299221759

zbMATH Keywords

Gröbner basesnD systemsfiltersmultivariable polynomial

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Digital control/observation systems (93C62) Algebraic methods (93B25)

Related Items (14)

Multidimensional perfect reconstruction filter banks: An approach of algebraic geometry ⋮ Applications of Gröbner bases to signal and image processing: a survey ⋮ Elementary factorisation of box spline subdivision ⋮ Symbolic computation and signal processing ⋮ Gröbner bases and wavelet design ⋮ Parametrizing compactly supported orthonormal wavelets by discrete moments ⋮ An algorithm for unimodular completion over Laurent polynomial rings ⋮ Groebner basis methods for multichannel sampling with unknown offsets ⋮ Smooth wavelet tight frames with zero moments ⋮ A generalization of Serre's conjecture and some related issues ⋮ The method of virtual components in the multivariate setting ⋮ Factorizations for \(n\)D polynomial matrices ⋮ Multi-dimensional filter banks and wavelets -- a system theoretic perspective ⋮ Multivariate generalized sampling in shift-invariant spaces and its approximation properties

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