Two-dimensional digital filters without overflow oscillations and instability due to finite word length

Two-dimensional digital filters without overflow oscillations and instability due to finite word length

New criteria for the absence of finite word-length effects, such as overflow oscillations and instability, in two-dimensional digital filters are presented. The criteria are formulated using the state-space representations and are based on results concerning the 2D Lyapunov equation. Several example...

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Veröffentlicht in:IEEE transactions on signal processing 1992-09, Vol.40 (9), p.2311-2317
Hauptverfasser: Tzafestas, S.G., Kanellakis, A., Theodorou, N.J.
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic
Digital filters
Eigenvalues and eigenfunctions
Finite wordlength effects
Limit-cycles
Nonlinear equations
Nonlinear filters
Nonlinear systems
Sufficient conditions
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Zusammenfassung:New criteria for the absence of finite word-length effects, such as overflow oscillations and instability, in two-dimensional digital filters are presented. The criteria are formulated using the state-space representations and are based on results concerning the 2D Lyapunov equation. Several examples illustrate the theoretical results.< >
ISSN:1053-587X
1941-0476
DOI:10.1109/78.157230