Multidimensional perfect reconstruction filter banks: An approach of algebraic geometry

DOI10.1007/s11045-008-0060-5zbMath1175.94035OpenAlexW2086841797MaRDI QIDQ835722

Lei Zhang, Anamitra Makur

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1007/s11045-008-0060-5

zbMATH Keywords

Gröbner basislifting schemefilter banksfactorizationresultantcommon zerosperfect reconstructionlinear phase

Mathematics Subject Classification ID

Geometric methods (93B27) Sampled-data control/observation systems (93C57) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Computational aspects in algebraic geometry (14Q99)

Related Items (1)

A study on new right/left inverses of nonsquare polynomial matrices

Uses Software

• SINGULAR

Cites Work

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• Gröbner bases and multidimensional FIR multirate systems
• Comments on ``Multi-dimensional filter banks and wavelets -- a system theoretic perspective
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• Theory and design of two-dimensional filter banks: A review
• Multidimensional FIR filter bank design using Grobner bases
• McClellan transformations for two-dimensional digital filtering-Part I: Design
• SINGULAR
• Optimal design of synthesis filters in multidimensional perfect reconstruction FIR filter banks using Grobner bases
• Parametrized family of 2-D non-factorable FIR lossless systems and Gröbner bases
• Multi-dimensional filter banks and wavelets -- a system theoretic perspective

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