On behaviors and convolutional codes

被引:80
作者
Rosenthal, J
Schumacher, JM
York, EV
机构
[1] CWI, NL-1090 GB AMSTERDAM, NETHERLANDS
[2] TILBURG UNIV, DEPT ECON, NL-5000 LE TILBURG, NETHERLANDS
基金
美国国家科学基金会;
关键词
convolutional codes; behaviors; duality; first-order representations; code constructions;
D O I
10.1109/18.556682
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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 will define a convolutional code as the dual of a complete linear behavior in the sense of Willems. 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.
引用
收藏
页码:1881 / 1891
页数:11
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