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On the structure of linear recurrent error-control codes

Published online by Cambridge University Press:  15 August 2002

Michel Fliess
Michel Fliess*
Affiliation:
Centre de Mathématiques et Leurs Applications, École Normale Supérieure de Cachan, 61 avenue du Président Wilson, 94235 Cachan, France; [email protected]. Laboratoire GAGE, École polytechnique, 91128 Palaiseau, France.
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Abstract

We are extending to linear recurrent codes, i.e., to time-varying convolutional codes, most of the classic structural properties of fixed convolutional codes. We are also proposing a new connection between fixed convolutional codes and linear block codes. These results are obtained thanks to a module-theoretic framework which has been previously developed for linear control.

Keywords

Convolutional codeslinear recurrent codesblock codestransducersencodersfeedback decodinglinear systemscontrollabilityobservabilityinput-output inversionmodules.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 703 - 713
Copyright
© EDP Sciences, SMAI, 2002

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