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.
fDate :
4/1/2007 12:00:00 AM
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);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.890408
