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Rosenthal, J; Schumacher, J; York, E (1996). On behaviors and convolutional codes. IEEE Transactions on Information Theory, 42(6, par):1881-1891.
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 Willems (1979). 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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Information Systems
Physical Sciences > Computer Science Applications Social Sciences & Humanities > Library and Information Sciences |
| Uncontrolled Keywords: | algebraic construction, convolutional codes, finite field, generalized first-order descriptions, linear behavior, linear codes, linear system, matrix representations, module theory, systems theory |
| Language: | English |
| Date: | 1996 |
| Deposited On: | 17 Mar 2010 13:19 |
| Last Modified: | 03 Sep 2024 01:37 |
| Publisher: | IEEE |
| ISSN: | 0018-9448 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1109/18.556682 |
Rosenthal, J