Vaidyanathan, P. P. and Liu, V. (1987) An improved sufficient condition for absence of limit cycles in digital filters. IEEE Transactions on Circuits and Systems, 34 (3). pp. 319-322. ISSN 0098-4094. https://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs87b
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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.
| Item Type: | Article | ||||||
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| 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. | ||||||
| Issue or Number: | 3 | ||||||
| Record Number: | CaltechAUTHORS:VAIieeetcs87b | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs87b | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 5895 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 07 Nov 2006 | ||||||
| Last Modified: | 09 Mar 2020 13:19 |
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