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Spatially Coupled Turbo Codes

Moloudi, Saeedeh LU ; Lentmaier, Michael LU and Graell i Amat, Alexandre (2014) International Symposium on Turbo Codes & Iterative Information Processing (ISTC), 2014
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 ap- proaches its maximum a posteriori threshold. This phenomenon is... (More)
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 ap- proaches its maximum a posteriori threshold. This phenomenon is especially significant for serially concatenated codes, whose uncoupled ensemble suffers from a poor BP threshold. (Less)
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International Symposium on Turbo Codes & Iterative Information Processing (ISTC), 2014
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English
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c0f840ef-5a50-405d-abd8-0c31e97dcd70 (old id 4644757)
date added to LUP
2014-09-12 12:13:35
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@misc{c0f840ef-5a50-405d-abd8-0c31e97dcd70,
  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 ap- proaches its maximum a posteriori threshold. This phenomenon is especially significant for serially concatenated codes, whose uncoupled ensemble suffers from a poor BP threshold.},
  author       = {Moloudi, Saeedeh and Lentmaier, Michael and Graell i Amat, Alexandre},
  language     = {eng},
  title        = {Spatially Coupled Turbo Codes},
  year         = {2014},
}