Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2015

Autores

Fornasini, E (Autor) Outra; Pinho, T (Autor) Outra; Pinto, R (Autor) Outra; Rocha, P (Autor) FEUP

Ata de Conferência Internacional

Título: Coding Theory and Applications, 4th International Castle Meeting

Páginas: 185-193

4th International Castle Meeting Coding Theory and Applications (4ICMCTA)

Palmela Castle, PORTUGAL, SEP 15-18, 2014

Indexação

ISI Web of Knowledge - 1 Citação

Outras Informações

ID Authenticus: P-00K-RPX

DOI: 10.1007/978-3-319-17296-5_19

Abstract (EN): In this paper we consider a special class of 2D convolutional codes (composition codes) with encoders G(d(1), d(2)) that can be decomposed as the product of two 1D encoders, i.e., G(d(1), d(2)) = G(2)(d2)G(1)(d(1)). In case that G(1)(d(1)) and G(2)(d(2)) are prime we provide constructions of syndrome formers of the code, directly from G(1)(d(1)) and G(2)(d(2)). Moreover we investigate the minimality of 2D state-space realization by means of a separable Roesser model of syndrome formers of composition codes, where G(2)(d(2)) is a quasi-systematic encoder.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9