TY - JOUR
T1 - Analysis of decoding error probability of spatially "Mt. Fuji" coupled LDPC codes inwaterfall region of the BEC
AU - NAKAHARA, Yuta
AU - Matsushima, Toshiyasu
N1 - Publisher Copyright:
© 2020 The Institute of Electronics, Information and Communication Engineers.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/12
Y1 - 2020/12
N2 - A spatially "Mt. Fuji"coupled (SFC) low-density paritycheck (LDPC) ensemble is a modified version of the spatially coupled (SC) LDPC ensemble. Its decoding error probability in the waterfall region has been studied only in an experimental manner. In this paper, we theoretically analyze it over the binary erasure channel by modifying the expected graph evolution (EGE) and covariance evolution (CE) that have been used to analyze the original SC-LDPC ensemble. In particular, we derive the initial condition modified for the SFC-LDPC ensemble. Then, unlike the SC-LDPC ensemble, the SFC-LDPC ensemble has a local minimum on the solution of the EGE and CE. Considering the property of it, we theoretically expect the waterfall curve of the SFC-LDPC ensemble is steeper than that of the SC-LDPC ensemble. In addition, we also confirm it by numerical experiments.
AB - A spatially "Mt. Fuji"coupled (SFC) low-density paritycheck (LDPC) ensemble is a modified version of the spatially coupled (SC) LDPC ensemble. Its decoding error probability in the waterfall region has been studied only in an experimental manner. In this paper, we theoretically analyze it over the binary erasure channel by modifying the expected graph evolution (EGE) and covariance evolution (CE) that have been used to analyze the original SC-LDPC ensemble. In particular, we derive the initial condition modified for the SFC-LDPC ensemble. Then, unlike the SC-LDPC ensemble, the SFC-LDPC ensemble has a local minimum on the solution of the EGE and CE. Considering the property of it, we theoretically expect the waterfall curve of the SFC-LDPC ensemble is steeper than that of the SC-LDPC ensemble. In addition, we also confirm it by numerical experiments.
KW - Covariance evolution
KW - Expected graph evolution
KW - Finite-length code performance
KW - Spatially coupled codes
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U2 - 10.1587/transfun.2020TAP0010
DO - 10.1587/transfun.2020TAP0010
M3 - Article
AN - SCOPUS:85098012184
SN - 0916-8508
VL - E103A
SP - 1337
EP - 1346
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IS - 12
ER -