The Fornasini-Marchesini model with no overflow oscillations and its application to 2-D digital filter design
- 13 January 2003
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
Based on a two-dimensional (2-D) local state-space (LSS) model that was proposed by E. Fornasini and G. Marchesini (Math. Syst. Theory, vol.12, p.59-72, 1978), a new condition for 2-D discrete systems to be asymptotically stable is introduced. This condition is more general than that based on the Roesser LSS model and includes the latter as a special case. A necessary and sufficient condition for 2-D discrete systems to be asymptotically stable is given in detail, without loss of generality. A criterion that sufficiently guarantees the absence of overflow oscillations in the Fornasini-Marchesini model is shown. The asymptotic stability condition is incorporated in the 2-D filter design.Keywords
This publication has 7 references indexed in Scilit:
- Design of 2-D digital filters with an arbitrary response and no overflow oscillations based on a new stability conditionIEEE Transactions on Circuits and Systems, 1987
- Stability and the matrix Lyapunov equation for discrete 2-dimensional systemsIEEE Transactions on Circuits and Systems, 1986
- Comments on "Stability for Two-Dimensional Systems via a Lyapunov ApproachIEEE Transactions on Circuits and Systems, 1985
- Stability and overflow oscillations in 2-D state-space digital filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981
- Stability analysis of 2-D systemsIEEE Transactions on Circuits and Systems, 1980
- Two-dimensional digital filters with no overflow oscillationsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1979
- Doubly-indexed dynamical systems: State-space models and structural propertiesTheory of Computing Systems, 1978