Input-state-output representations of concatenated 2D convolutional codes

In this paper we investigate a novel model of concatenation of a pair of two-dimensional (2D) convolutional codes. We consider finite-support 2D convolutional codes and choose the so-called Fornasini-Marchesini input-state-output (ISO) model to represent these codes. More concretely, we interconnect...

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Bibliographic Details
Main Author: Simões, Rita (author)
Other Authors: Napp, Diego (author), Pinto, Raquel (author)
Format: conferenceObject
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/16185
Country:Portugal
Oai:oai:ria.ua.pt:10773/16185
Description
Summary:In this paper we investigate a novel model of concatenation of a pair of two-dimensional (2D) convolutional codes. We consider finite-support 2D convolutional codes and choose the so-called Fornasini-Marchesini input-state-output (ISO) model to represent these codes. More concretely, we interconnect in series two ISO representations of two 2D convolutional codes and derive the ISO representation of the ob- tained 2D convolutional code. We provide necessary condition for this representation to be minimal. Moreover, structural properties of modal reachability and modal observability of the resulting 2D convolutional codes are investigated.