DocumentCode
776912
Title
Periodic, Strict, and Quasi-Invariance in Linear Systems
Author
Cariolaro, G. ; De Pellegrini, F. ; Cellini, V.
Author_Institution
Dept. of Inf. Eng., Padova Univ.
Volume
54
Issue
4
fYear
2007
fDate
4/1/2007 12:00:00 AM
Firstpage
333
Lastpage
337
Abstract
This brief deals with shift invariance in linear systems (LSs), using a group theoretical approach. The group approach is necessary to obtain general definitions, which can be applied to continuous-time, discrete-time, multirate and also multidimensional LSs. Thus, a unique definition is given for periodic invariance and strict invariance (SI) and also for quasi-invariance (QI), a new concept, intermediate between periodic and SI. The importance of QI relies upon the fact that it is comprehensive of practically all multirate LSs
Keywords
continuous time systems; discrete time systems; group theory; invariance; linear systems; multidimensional systems; signal processing; group theoretical approach; linear systems; multirate systems; periodic invariance; shift invariance; strict invariance; Additives; Circuits; Filters; Helium; Kernel; Life members; Linear systems; Multidimensional systems; Signal representations; Linear systems (LSs); multirate systems; shift invariance (SI);
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2006.890408
Filename
4155052
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