New criteria for the absence of limit cycles in two-dimensional digital filters

DOI10.1080/00207729008910489zbMath0708.93083OpenAlexW1979990212MaRDI QIDQ3491451

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Publication date: 1990

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729008910489

zbMATH Keywords

two-dimensional digital filters2-D Lyapunov equationzero input limit cycles

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55)

Cites Work

• Digital filter realizations without overflow oscillations
• Criteria for the absence of limit cycles in two-dimensional discrete systems
• Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
• Sufficient conditions for the nonexistence of limit cycles in two-dimensional digital filters
• A discrete state-space model for linear image processing
• Limit cycles in a two-dimensional first-order digital filter
• Minimum norm recursive digital filters that are free of overflow limit cycles
• A bound on limit cycles in digital filters which exploits a particular structural property of the quantization

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