Quasi-cyclic LDPC codes using overlapping matrices and their layered decoders |
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| Affiliation: | 1. Samsung Electronics, Co., Ltd., Hwaseong, Gyeonggi-do 445-701, Republic of Korea;2. California Institute for Telecommunications and Information Technology, University of California, San Diego, La Jolla, CA 92093, USA;3. Department of Electrical and Computer Engineering, INMC, Seoul National University, Seoul 151-744, Republic of Korea;4. School of Information and Communication Engineering, Sungkyunkwan University, Gyeonggi-do 440-746, Republic of Korea;1. Key Laboratory of Pig Genetics and Breeding of Ministry of Agriculture & Key Laboratory of Agricultural Animal Genetics, Breeding and Reproduction of Ministry of Education, Huazhong Agricultural University, Wuhan 430070, PR China;2. Hubei Key Laboratory of Animal Embryo Engineering and Molecular Breeding, Hubei Academy of Agriculture Science, Wuhan 430064, PR China;1. School of Computer Science and Engineering, Southeast University, Nanjing 211189, China;2. College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China;1. College of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China;2. College of Electrical and Information Engineering, Hunan University, Changsha 410082, China;1. Department of Mechanical Engineering, Saveetha Engineering College, Chennai 602105, India;2. Department of Mechanical Engineering, CEG Anna University, Chennai 600025, India;1. Institute INAOE, Puebla, Mexico;2. National Polytechnic Institute, Mexico, DF, Mexico |
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| Abstract: | Quasi-cyclic (QC) low-density parity-check (LDPC) codes have the parity-check matrices consisting of circulant matrices. Since QC LDPC codes whose parity-check matrices consist of only circulant permutation matrices are difficult to support layered decoding and, at the same time, have a good degree distribution with respect to error correcting performance, adopting multi-weight circulant matrices to parity-check matrices is useful but it has not been much researched. In this paper, we propose a new code structure for QC LDPC codes with multi-weight circulant matrices by introducing overlapping matrices. This structure enables a system to operate on dual mode in an efficient manner, that is, a standard QC LDPC code is used when the channel is relatively good and an enhanced QC LDPC code adopting an overlapping matrix is used otherwise. We also propose a new dual mode parallel decoder which supports the layered decoding both for the standard QC LDPC codes and the enhanced QC LDPC codes. Simulation results show that QC LDPC codes with the proposed structure have considerably improved error correcting performance and decoding throughput. |
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| Keywords: | Decoder structure Layered decoding Multi-weight circulant matrices Overlapping matrix Quasi-cyclic (QC) low-density parity-check (LDPC) codes |
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