Asymptotic stability of fixed-point state-space digital filters with combinations of quantization and overflow nonlinearities

DOI10.1016/J.SIGPRO.2011.05.010zbMath1222.94020OpenAlexW2095177220MaRDI QIDQ634891

Haranath Kar

Publication date: 17 August 2011

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2011.05.010

zbMATH Keywords

nonlinear systemasymptotic stabilityLyapunov methoddigital filterfinite word-length effect

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (5)

Strict dissipativity and asymptotic stability of digital filters in direct form with saturation nonlinearity ⋮ A new realizability condition for fixed-point state-space interfered digital filters using any combination of overflow and quantization nonlinearities ⋮ Stability of interfered digital filters subjected to Markovian jumping parameters and time delay employing quantization/overflow nonlinearities ⋮ New ISS result for Lipschitz nonlinear interfered digital filters under various concatenations of quantization and overflow ⋮ A delay-dependent approach to stability of uncertain discrete-time state-delayed systems with generalized overflow nonlinearities

Uses Software

• LMI toolbox

Cites Work

• A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic
• Design criterion for zero-input asymptotic overflow-stability of recursive digital filters in the presence of quantization
• Digital filter realizations without overflow oscillations
• Stability analysis of fixed- point digital filters using computer generated Lyapunov functions- Part I: Direct form and coupled form filters
• The zero-input response of digital filters using saturation arithmetic
• Stability of digital filters implemented with two's complement truncation quantization
• Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
• Linear Matrix Inequalities in System and Control Theory
• A separation theorem for finite precision digital filters
• Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space $ $

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