A set of necessary stability conditions for \(m\)-D nonlinear digital filters

DOI10.1007/BF01260337zbMath0833.93041OpenAlexW2002659140MaRDI QIDQ1898702

Peter H. Bauer

Publication date: 11 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf01260337

zbMATH Keywords

asymptotic stabilitypractical stability\(m\)-D digital systems

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Asymptotic stability in control theory (93D20) Digital control/observation systems (93C62)

Cites Work

• A stability analysis of two-dimensional nonlinear digital state-space filters
• Stability of digital filters implemented with two's complement truncation quantization
• Finite word-length effects in m-D digital filters with singularities on the stability boundary
• Two-dimensional digital filters without overflow oscillations and instability due to finite word length
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