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http://hdl.handle.net/10773/15001
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. |
URI: | http://hdl.handle.net/10773/15001 |
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 |
Files in This Item:
File | Description | Size | Format | |
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icmcta4_Final_Version.pdf | artigo | 139.79 kB | Adobe PDF |
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