Stability of recursive time-varying digital filters by state vector transformation

Journal article
(Original article)


Publication Details

Author(s): Rabenstein R, Czarnach R
Journal: Signal Processing
Publisher: Elsevier
Publication year: 1985
Volume: 8
Journal issue: 2
Pages range: 75-92
ISSN: 0165-1684


Abstract


The stability of recursive time-variant digital filters depends on the variable filter coefficients as well as on the chosen state-space structure. A condition for the behaviour of the state vector is given, that guarantees asymptotic stability in the sense of Lyapunov. Some structures do always yield this behaviour. However, all other structures produce the same output signal with a suitable transformation of the state vector with every coefficient change. This transformation can be implemented without increase of the computational complexity when the filter coefficients are altered. This will be demonstrated by an example for a structure with the minimum number of multipliers. © 1985.



FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Rabenstein, R., & Czarnach, R. (1985). Stability of recursive time-varying digital filters by state vector transformation. Signal Processing, 8(2), 75-92. https://dx.doi.org/10.1016/0165-1684(85)90090-8

MLA:
Rabenstein, Rudolf, and Roland Czarnach. "Stability of recursive time-varying digital filters by state vector transformation." Signal Processing 8.2 (1985): 75-92.

BibTeX: 

Last updated on 2018-31-12 at 13:50