Series concatenation of 2D convolutional codes by means of input-state-output representations. Issue 12 (2nd December 2018)

• Record Type: Journal Article
• Authors: Climent, Joan-Josep; Napp, Diego; Pinto, Raquel; Simões, Rita
• Is Part Of: International journal of control. Volume 91:Issue 12(2018)
• Page Start: 2682
• Page End: 2691
• Publication Date: 2018-12-02
• Subjects: 2D convolution codes -- series concatenation -- reachability -- observability; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2017.1410573
• Languages: English
• ISSNs: 0020-7179

Abstract

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.