Group Codes and Behaviors
G. David Forney · Birkhäuser Basel eBooks · 1999
The close connections between convolutional coding theory and linear system theory are well known. A convolutional encoder is simply a discrete-time linear time-invariant (LTI) system over a finite field, always finite-dimensional, in general multivariable. These connections were exploited in the 1970’s to develop an algebraic structure theory of convolutional codes [5], the key elements of which turned out later to be useful in linear system theory [6, 14].