DocumentCode
1182003
Title
Sufficient conditions for the nonexistence of limit cycles in two-dimensional digital filters
Author
El-Agizi, N.G. ; Fahmy, Moustafa M.
Volume
26
Issue
6
fYear
1979
fDate
6/1/1979 12:00:00 AM
Firstpage
402
Lastpage
406
Abstract
The stability of the two classes of two-dimensional digital filters defined by ![F1: x_{i+1,j+1} = Q_R[ax_{i+1,j}+bx_{i,j+1}+cx_{i,j}]](/images/tex/10741.gif)
and ![F2: x_{i+1,j+1} = Q_R[ax_{i+1,j}]+Q_R[bx_{i,j+1}]](/images/tex/10742.gif)
is studied. Here 
is the rounding operator, and fixed-point arithmetic is used. Sufficient conditions for the stability of 
and necessary and sufficient conditions for the stability of 
are derived. For the more general case of higher order two-dimensional (2-D) digital filters, sufficient conditions for the nonexistence of separable 2-D limit cycles are derived by extending the results of Claasen et al. [1].
and is studied. Here is the rounding operator, and fixed-point arithmetic is used. Sufficient conditions for the stability of and necessary and sufficient conditions for the stability of are derived. For the more general case of higher order two-dimensional (2-D) digital filters, sufficient conditions for the nonexistence of separable 2-D limit cycles are derived by extending the results of Claasen et al. [1].Keywords
Digital filter stability; Digital filter wordlength effects; Digital filters; Fixed-point digital filters; Multidimensional digital filters; Active filters; Circuit analysis; Cities and towns; Digital filters; Limit-cycles; Operational amplifiers; Optical amplifiers; Optical filters; Solid state circuits; Sufficient conditions;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1979.1084648
Filename
1084648
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