MDP Periodically Time-Varying Convolutional Codes

  • Ricardo PereiraEmail author
  • Paula Rocha
  • Diego Napp
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 402)


In this paper we use some classical ideas from linear systems theory to analyse convolutional codes. In particular, we exploit input-state-output representations of periodic linear systems to study periodically time-varying convolutional codes. In this preliminary work we focus on the column distance of these codes and derive explicit necessary and sufficient conditions for an (n, 2, 1) periodically time-varying convolutional code to have Maximum Distance Profile (MDP).


Convolutional codes Periodically codes MDP codes 



This work was supported in part by the Portuguese Foundation for Science and Technology (FCT—Fundação para a Ciência e a Tecnologia), through CIDMA—Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2013.

This work was financially supported by: Project POCI-01-0145-FEDER-006933—SYSTEC—Research Center for Systems and Technologies—funded by FEDER funds through COMPETE2020—Programa Operational Competitividade e Internacionalização (POCI)—and by national funds through FCT—Fundação para a Ciência e a Tecnologia.


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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.CIDMA—Center for Research and Development in Mathematics and Applications, Department of MathematicsUniversity of AveiroAveiroPortugal
  2. 2.SYSTEC, Faculty of EngineeringUniversity of PortoPortoPortugal

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