A state space approach to periodic convolutional codes

In this paper we study periodically time-varying convolutional codes by means of input-state-output representations. Using these representations we investigate under which conditions a given time-invariant convolutional code can be transformed into an equivalent periodic time-varying one. The relati...

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Bibliographic Details
Main Author: Pereira, Ricardo (author)
Other Authors: Rocha, Paula (author), Napp, Diego (author)
Format: conferenceObject
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10773/18690
Country:Portugal
Oai:oai:ria.ua.pt:10773/18690
Description
Summary:In this paper we study periodically time-varying convolutional codes by means of input-state-output representations. Using these representations we investigate under which conditions a given time-invariant convolutional code can be transformed into an equivalent periodic time-varying one. The relation between these two classes of convolutional codes is studied for period 2. We illustrate the ideas presented in this paper by constructing a periodic time-varying convolutional code from a time-invariant one. The resulting periodic code has larger free distance than any time-invariant convolutional code with equivalent parameters.