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

• Type: Article in International Conference Proceedings Book
• Date: 2015

Authors

Fornasini, E (Author) Other; Pinho, T (Author) Other; Pinto, R (Author) Other; Rocha, P (Author) FEUP

Conference proceedings International

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

Pages: 185-193

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

Palmela Castle, PORTUGAL, SEP 15-18, 2014

Indexing

ISI Web of Knowledge - 1 Citation

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9