Series concatenation of 2D convolutional codes by means of input-state-output representations
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Title: | Series concatenation of 2D convolutional codes by means of input-state-output representations |
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Authors: | Climent, Joan-Josep | Napp, Diego | Pinto, Raquel | Simões, Rita |
Research Group/s: | Grupo de Álgebra y Geometría (GAG) |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | 2D convolution codes | Series concatenation | Reachability | Observability |
Knowledge Area: | Álgebra |
Issue Date: | 25-Jan-2018 |
Publisher: | Taylor & Francis |
Citation: | International Journal of Control. 2018, 91(12): 2682-2691. doi:10.1080/00207179.2017.1410573 |
Abstract: | In this paper, we investigate the properties of two-dimensional (2D) convolutional codes which are obtained from series concatenation of two 2D convolutional codes. For this purpose, we confine ourselves to dealing with finite-support 2D convolutional codes and make use of the Fornasini–Marchesini input-state-output (ISO) model representations. Within these ISO representations, we study when the structural properties of modal reachability and modal observability of the two given ISO representations carry over to the resulting 2D convolutional code. Moreover, we provide necessary conditions for obtaining a systematic concatenated convolutional code. Finally, we present a lower bound on its free distance. |
Sponsor: | The work of the second, third and fourth authors was supported by Portuguese funds through the Center for Research and Development in Mathematics and Applications (CIDMA); The Portuguese Foundation for Science and Technology (FCT – Fundação para a Ciência e a Tecnologia) [grant number UID/MAT/04106/2013]. |
URI: | http://hdl.handle.net/10045/86869 |
ISSN: | 0020-7179 (Print) | 1366-5820 (Online) |
DOI: | 10.1080/00207179.2017.1410573 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © 2018 Informa UK Limited, trading as Taylor & Francis Group |
Peer Review: | si |
Publisher version: | https://doi.org/10.1080/00207179.2017.1410573 |
Appears in Collections: | INV - GAG - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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2018_Climent_etal_IntJControl_final.pdf | Versión final (acceso restringido) | 648,77 kB | Adobe PDF | Open Request a copy |
2018_Climent_etal_IntJControl_accepted.pdf | Accepted Manuscript (acceso abierto) | 357,69 kB | Adobe PDF | Open Preview |
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