ON BEHAVIORS AND CONVOLUTIONAL-CODES

Citation
J. Rosenthal et al., ON BEHAVIORS AND CONVOLUTIONAL-CODES, IEEE transactions on information theory, 42(6), 1996, pp. 1881-1891
Citations number
41
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
ISSN journal
00189448
Volume
42
Issue
6
Year of publication
1996
Part
1
Pages
1881 - 1891
Database
ISI
SICI code
0018-9448(1996)42:6<1881:OBAC>2.0.ZU;2-D
Abstract
It is well known that a convolutional code is essentially a linear sys tem defined over a finite field, In this paper we elaborate on this co nnection. We will define a convolutional code as the dual of a complet e linear behavior in the sense of Willems. Using ideas from systems th eory, we describe a set of generalized first-order descriptions for co nvolutional codes. As an application of these ideas, we present a new algebraic construction for convolutional codes.