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
Link To Document :
