Two-dimensional digital filters without overflow oscillations and instability due to finite word length
- 1 January 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 40 (9) , 2311-2317
- https://doi.org/10.1109/78.157230
Abstract
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 resultKeywords
This publication has 23 references indexed in Scilit:
- A unified study on the roundoff noise in 2-D state space digital filtersIEEE Transactions on Circuits and Systems, 1986
- Stability and the matrix Lyapunov equation for discrete 2-dimensional systemsIEEE Transactions on Circuits and Systems, 1986
- A new realizability condition for limit cycle-free state-space digital filters employing saturation arithmeticIEEE Transactions on Circuits and Systems, 1985
- On the absence of limit cycles in a class of state-space digital filters which contains minimum noise realizationsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
- Limit cycles in state-space structures for digital filtersIEEE Transactions on Circuits and Systems, 1979
- Digital filter realizations without overflow oscillationsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1978
- A bound on limit cycles in digital filters which exploits a particular structural property of the quantizationIEEE Transactions on Circuits and Systems, 1977
- A discrete state-space model for linear image processingIEEE Transactions on Automatic Control, 1975
- Two-Dimensional Digital Filtering and its Error AnalysisIEEE Transactions on Computers, 1974
- Limit-cycle oscillations in digital filtersIEEE Transactions on Circuit Theory, 1971