Rabenstein R, Czarnach R (1985)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1985
Publisher: Elsevier
Book Volume: 8
Pages Range: 75-92
Journal Issue: 2
DOI: 10.1016/0165-1684(85)90090-8
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.
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.
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