Spatially Coupled Turbo Codes: Principles and Finite Length Performance

Summary, in English

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.

• Author: Alexandre Graell i Amat; Saeedeh Moloudi; Michael Lentmaier
• Department/s: Department of Electrical and Information Technology; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publishing year: 2014
• Language: English
• Pages: 883-887
• Publication/Series: 11th International Symposium on Wireless Communications Systems, ISWCS 2014
• Full text: - 3 MB; Download statistics
• Links: http://dx.doi.org/10.1109/ISWCS.2014.6933478
• Document type: Conference paper
• Publisher: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Topic: Electrical Engineering, Electronic Engineering, Information Engineering
• Keywords: spatial coupling; turbo codes; serial concatenation; parallel concatenation; convolutional codes
• Conference name: The Eleventh International Symposium on Wireless Communication Systems (ISWCS)
• Conference date: 2014-08-26 - 2014-08-29
• Conference place: Barcelona, Spain
• Status: Published
• Research group: Telecommunication Theory
• ISBN/ISSN/Other: ISBN: 9781479958641