Multi-dimensional filter banks and wavelets -- a system theoretic perspective

DOI10.1016/S0016-0032(98)00006-4zbMath1010.94520OpenAlexW1964432101WikidataQ127797530 ScholiaQ127797530MaRDI QIDQ5959142

Sankar Basu

Publication date: 23 June 2002

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0016-0032(98)00006-4

zbMATH Keywords

surveyGröbner basismatrix completionsignal theoryopen problemsorthogonal waveletssystem theorymulti-dimensional filter bankwavelet design

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Analytic circuit theory (94C05)

Related Items (7)

Multidimensional perfect reconstruction filter banks: An approach of algebraic geometry ⋮ Applications of Gröbner bases to signal and image processing: a survey ⋮ The analysis and design of two-dimensional nearly-orthogonal symmetric wavelet filter banks ⋮ Comments on ``Multi-dimensional filter banks and wavelets -- a system theoretic perspective ⋮ High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes ⋮ A simple design method for the cosine-modulated filter banks using weighted constrained least square technique ⋮ Separable and nonseparable multiwavelets in multiple dimensions

Cites Work

• Gröbner bases and multidimensional FIR multirate systems
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• Convergence of multidimensional cascade algorithm
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• An algorithmic proof of Suslin's stability theorem for polynomial rings
• Construction of Malvar wavelets on hexagons
• A new technique to estimate the regularity of refinable functions
• Non-separable bidimensional wavelet bases
• The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
• State space representations of 2-D FIR lossless transfer matrices
• Wavelets and perfect reconstruction subband coding with causal stable IIR filters
• Multidimensional causal, stable, perfect reconstruction filter banks
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