Published March 1, 1987
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Journal Article
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An improved sufficient condition for absence of limit cycles in digital filters
- Creators
-
Vaidyanathan, P. P.
- Liu, V.
Chicago
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Abstract
It is known that if the state transition matrix A of a digital filter structure is such that D - A^{dagger}DA is positive definite for some diagonal matrix D of positive elements, then all zero-input limit cycles can be suppressed. This paper shows that positive semidefiniteness of D - A^{dagger}DA is in fact sufficient. As a result, it is now possible to explain the absence of limit cycles in Gray-Markel lattice structures based only on the state-space viewpoint.
Additional Information
© Copyright 1987 IEEE. Reprinted with permission. Manuscript received November 12, 1986. This work was supported in part by the NSF grant ECS 84-04245 and in part by Caltech's programs in advanced technology sponsored by Aerojet General, General Motors, GTE, and TRW.Files
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- Eprint ID
- 5895
- Resolver ID
- CaltechAUTHORS:VAIieeetcs87b
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