Periodic state-space representations of periodic convolutional codes

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Diego Napp (Autor) Outra; Ricardo Pereira (Autor) Outra; Raquel Pinto (Autor) Outra; Paula Rocha (Autor) FEUP

Revista

Título: Cryptography and Communications

Vol. 11 Nº 4

Páginas: 585-595

ISSN: 1936-2447

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00P-GEM

DOI: 10.1007/s12095-018-0313-6

Abstract (EN): In this paper we study the representation of periodically time-varying convolutional codes by means of periodic input-state-output models. In particular, we focus on period two and investigate under which conditions a given two-periodic convolutional code (obtained by alternating two time-invariant encoders) can be represented by a periodic input-state-output system. We first show that one cannot expect, in general, to obtain a periodic input-state-output representation of a periodic convolutional code by means of the individual realizations of each of the associated time-invariant codes. We, however, provide sufficient conditions for this to hold in terms of the column degrees of the associated column reduced generator matrices. Moreover, we derive a sufficient condition to obtain a periodic state-space realization that is minimal. Finally, examples to illustrate the results are presented.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11