首页|State representations of convolutional codes over a finite ring
State representations of convolutional codes over a finite ring
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NSTL
Elsevier
In this paper we study finite support convolutional codes over Z(pr) by means of an input-state-output representation. We show that the set of finite weight input-state-output trajectories associated to this type of representations has the structure of a Z(pr)-submodule of Z(pr)(n) and therefore is a (finite support) convolutional code. Fundamental system-theoretical properties such as observability, reachability or minimality, are investigated in this context. (C) 2021 Published by Elsevier Inc.
Finite ringsRealization theoryConvolutionalMULTIDIMENSIONAL SYSTEMS
NSTL
Elsevier
