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Title: Minimal realizations of syndrome formers of a special class of 2D codes
Author: Fornasini, Ettore
Pinho, Telma
Pinto, Raquel
Rocha, Paula
Keywords: Encoders and syndrome forms
2D composition codes
2D state-space models
Issue Date: 2015
Publisher: Springer International Publishing
Abstract: In this paper we consider a special class of 2D convolutional codes (composition codes) with encoders G(d1;d2) that can be decomposed as the product of two 1D encoders, i.e., G(d1;d2) = G2(d2)G1(d1). In case that G1(d1) and G2(d2) are prime we provide constructions of syndrome formers of the code, directly from G1(d1) and G2(d2). Moreover we investigate the minimality of 2D state-space realization by means of a separable Roesser model of syndrome formers of composition codes, where G2(d2) is a quasi-systematic encoder.
DOI: 10.1007/978-3-319-17296-5_19
ISBN: 978-3-319-17295-8
ISSN: 2364-950X
Appears in Collections:CIDMA - Capítulo de livro
SCG - Capítulo de livro

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