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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; fliess@cmla.ens-cachan.fr. Laboratoire GAGE, École polytechnique, 91128 Palaiseau, France.
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Abstract

We are extending to linear recurrent codes, i.e., totime-varying convolutional codes, most of the classic structuralproperties of fixed convolutional codes. We are also proposing anew connection between fixed convolutional codes and linear blockcodes. These results are obtained thanks to a module-theoreticframework which has been previously developed for linear control.

Keywords

Convolutional codeslinear recurrent codesblockcodestransducersencodersfeedback decodinglinear systemscontrollabilityobservabilityinput-output inversionmodules.

Information

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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