@article {IOPORT.01004602, author = {Rosenthal, Joachim and Schumacher, J.M. and Von York, Eric}, title = {On behaviors and convolutional codes.}, year = {1996}, journal = {IEEE Transactions on Information Theory}, volume = {42}, number = {6}, issn = {0018-9448}, pages = {1881-1891}, publisher = {Institute of Electrical and Electronics Engineers (IEEE), New York, NY}, doi = {10.1109/18.556682}, abstract = {Summary: It is well known that a convolutional code is essentially a linear system defined over a finite field. In this paper we elaborate on this connection. We define a convolutional code as the dual of a complete linear behavior in the sense of {\it J. C. Willems} [Automatica 22, 561-580 (1986; Zbl 0604.62090; Dynamics reported, Vol. 2, 171-269 (1989; Zbl 0685.93002); IEEE Trans. Autom. Control 36, No. 3, 259-294 (1991; Zbl 0737.93004)]. Using ideas from systems theory, we describe a set of generalized first-order descriptions for convolutional codes. As an application of these ideas, we present a new algebraic construction for convolutional codes.}, identifier = {01004602}, }