Spatially Coupled Turbo Codes: Principles and Finite Length Performance

Alexandre Graell i Amat, Saeedeh Moloudi, Michael Lentmaier

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

6 Citations (SciVal)
133 Downloads (Pure)


In this paper, we give an overview of spatially coupled turbo codes (SC-TCs), the spatial coupling of parallel and serially concatenated convolutional codes, recently introduced by the authors. For presentation purposes, we focus on spatially coupled serially concatenated codes (SC-SCCs). We review the main principles of SC-TCs and discuss their exact density evolution (DE) analysis on the binary erasure channel. We also consider the construction of a family of rate-compatible SC-SCCs with simple 4-state component encoders. For all considered code rates, threshold saturation of the belief propagation (BP) to the maximum a posteriori threshold of the uncoupled ensemble is demonstrated, and it is shown that the BP threshold approaches the Shannon limit as the coupling memory increases. Finally we give some simulation results for finite lengths.
Original languageEnglish
Title of host publication11th International Symposium on Wireless Communications Systems, ISWCS 2014
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
ISBN (Print)9781479958641
Publication statusPublished - 2014
EventThe Eleventh International Symposium on Wireless Communication Systems (ISWCS) - Barcelona, Spain
Duration: 2014 Aug 262014 Aug 29


ConferenceThe Eleventh International Symposium on Wireless Communication Systems (ISWCS)

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering


  • spatial coupling
  • turbo codes
  • serial concatenation
  • parallel concatenation
  • convolutional codes


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