TY - JOUR
T1 - Spatially coupled low-density parity-check codes on two-dimensional array erasure channel
AU - Hosoya, Gou
AU - Yashima, Hiroyuki
N1 - Funding Information:
This work is supported by JSPS KAKENHI (grant nos. 16K18108, 17K00020, and 17K06443). The authors wish to thank the reviewers for their thorough and conscientious reviewing which improve the quality of this study.
Publisher Copyright:
Copyright © 2018 The Institute of Electronics, Information and Communication Engineers.
PY - 2018/12
Y1 - 2018/12
N2 - In this study, spatially coupled low-density parity-check (SC-LDPC) codes on the two-dimensional array erasure (2DAE) channel are devised, including a method for generating new SC-LDPC codes with a restriction on the check node constraint. A density evolution analysis confirms the improvement in the threshold of the proposed two-dimensional SC-LDPC code ensembles over the one-dimensional SC-LDPC code ensembles. We showthat the BP threshold of the proposed codes can approach the corresponding maximum a posteriori (MAP) threshold of the original residual graph on the 2DAE channel. Moreover, we show that the rates of the residual graph of the two-dimensional LDPC block code ensemble are smaller than those of the one-dimensional LDPC block code ensemble. In other words, a high performance can be obtained by choosing the two-dimensional SC-LDPC codes.
AB - In this study, spatially coupled low-density parity-check (SC-LDPC) codes on the two-dimensional array erasure (2DAE) channel are devised, including a method for generating new SC-LDPC codes with a restriction on the check node constraint. A density evolution analysis confirms the improvement in the threshold of the proposed two-dimensional SC-LDPC code ensembles over the one-dimensional SC-LDPC code ensembles. We showthat the BP threshold of the proposed codes can approach the corresponding maximum a posteriori (MAP) threshold of the original residual graph on the 2DAE channel. Moreover, we show that the rates of the residual graph of the two-dimensional LDPC block code ensemble are smaller than those of the one-dimensional LDPC block code ensemble. In other words, a high performance can be obtained by choosing the two-dimensional SC-LDPC codes.
KW - Density evolution
KW - Low-density parity-check code
KW - Spatially coupled LDPC code
KW - Storage device
UR - http://www.scopus.com/inward/record.url?scp=85057495910&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85057495910&partnerID=8YFLogxK
U2 - 10.1587/transfun.E101.A.2008
DO - 10.1587/transfun.E101.A.2008
M3 - Article
AN - SCOPUS:85057495910
VL - E101A
SP - 2008
EP - 2017
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
SN - 0916-8508
IS - 12
ER -