DocumentCode :
1193828
Title :
Realization of two´s complement overflow limit cycle free state-space digital filters: A frequency-domain viewpoint
Author :
Singh, Vimal
Volume :
33
Issue :
10
fYear :
1986
fDate :
10/1/1986 12:00:00 AM
Firstpage :
1042
Lastpage :
1044
Abstract :
The "state-space" criterion (namely, D- A^{T} DA > O, D a positive diagonal matrix) due to Mills, Mullis, and Roberts [1] for the absence of overflow oscillations in state-space digital filters designed with two\´s complement arithmetic is well-known [2]-[4]. A frequency-domain formulation of this criterion is presented herein. It is shown that the criterion in this frequency form was implicity known in the literature prior to the appearance of the state-space criterion.
Keywords :
Digital filter wordlength effects; Asymptotic stability; Circuits and systems; Digital arithmetic; Digital filters; Feedback; Finite wordlength effects; Frequency; Limit-cycles; Milling machines; Stability criteria;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1986.1085849
Filename :
1085849
Link To Document :
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