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Spatially Coupled Turbo Codes

By Saeedeh Moloudi, Michael Lentmaier and Alexandre Graell i Amat

Abstract

In this paper, we introduce the concept of spatially coupled turbo codes (SC-TCs), as the turbo codes counterpart of spatially coupled low-density parity-check codes. We describe spatial coupling for both Berrou et al. and Benedetto et al. parallel and serially concatenated codes. For the binary erasure channel, we derive the exact density evolution (DE) equations of SC-TCs by using the method proposed by Kurkoski et al. to compute the decoding erasure probability of convolutional encoders. Using DE, we then analyze the asymptotic behavior of SC-TCs. We observe that the belief propagation (BP) threshold of SC-TCs improves with respect to that of the uncoupled ensemble and approaches its maximum a posteriori threshold. This phenomenon is especially significant for serially concatenated codes, whose uncoupled ensemble suffers from a poor BP threshold

Topics: Electrical Engineering, Electronic Engineering, Information Engineering
Publisher: 'Institute of Electrical and Electronics Engineers (IEEE)'
Year: 2014
DOI identifier: 10.1109/ISTC.2014.6955090
OAI identifier: oai:research.chalmers.se:200797
Provided by: Chalmers Research
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