Publication: On behaviors and convolutional codes
On behaviors and convolutional codes
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Rosenthal, J., Schumacher, J. M., & York, E. V. (1996). On behaviors and convolutional codes. IEEE Transactions on Information Theory, 42(6, par), 1881–1891. https://doi.org/10.1109/18.556682
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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.
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- Schumacher, J M
- York, Eric V
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Rosenthal, J., Schumacher, J. M., & York, E. V. (1996). On behaviors and convolutional codes. IEEE Transactions on Information Theory, 42(6, par), 1881–1891. https://doi.org/10.1109/18.556682
