DocumentCode
1196509
Title
An improved sufficient condition for absence of limit cycles in digital filters
Author
Vaidyanathan, P.P. ; Liu, V.
Volume
34
Issue
3
fYear
1987
fDate
3/1/1987 12:00:00 AM
Firstpage
319
Lastpage
322
Abstract
It is known that if the state transition matrix A of a digital filter structure is such that 
is positive definite for some diagonal matrix 
of positive elements, then all zero-input limit cycles can be suppressed. This paper shows that positive semidefiniteness of 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.
is positive definite for some diagonal matrix of positive elements, then all zero-input limit cycles can be suppressed. This paper shows that positive semidefiniteness of 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.Keywords
IIR digital filter wordlength effects; Arithmetic; Circuits; Digital filters; Eigenvalues and eigenfunctions; Feedback loop; Lattices; Limit-cycles; Observability; Sufficient conditions;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1987.1086118
Filename
1086118
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