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State Realizations of 2-Periodic Convolutional Codes: a switching system approach

Title
State Realizations of 2-Periodic Convolutional Codes: a switching system approach
Type
Article in International Conference Proceedings Book
Year
2021
Authors
E. Fornasini
(Author)
Other
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D. Napp
(Author)
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R. Pereira
(Author)
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R. Pinto
(Author)
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Maria Paula Malonek
(Author)
FEUP
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Conference proceedings International
Pages: 114-118
16th IFAC Symposium on Advanced Control of Chemical Processes (ADCHEM)
ELECTR NETWORK, JUN 13-16, 2021
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Authenticus ID: P-00V-5H8
Resumo (PT):
Abstract (EN): In this work we investigate the realization problem of periodic convolutional codes. As convolutional codes are discrete linear systems over a finite field we use systems theory techniques to address our problem. In particular, we aim at deriving and studying state-space realizations of 2-periodic convolutional codes. Although one cannot expect, in general, to obtain a periodic state-space realization of a periodic convolutional code by means of the individual realizations of each of the associated time-invariant codes, we show that one can implement the periodic system switching periodically the output in each state system. Comments on the minimality of this realization are given. Copyright (C) 2021 The Authors.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 5
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