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Singular Linear Behaviors and Their AR-RepresentationsMathematics of Control, Signals and Systems, 14
- Publisher
- de Gruyter
- Copyright
- © Heldermann Verlag
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.2001.553
- Publisher site
- See Article on Publisher Site
Abstract
Frequency responses are introduced as objects that are much finer than transfer functions, and their investigation is carried out via convolutional codes. In particular, a canonical one-to-one correspondence is established between frequency responses and equivalence classes of AR-models. These new objects are important because the study of linear dynamical systems can to a great extent be reduced to the study of them.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Sep 1, 2001
Keywords: Transfer function; convolutional encoder; AR-model; convolutional code; frequency response; exact sequence; controllable