期刊文献+

光通信系统中基于伽罗华域乘群的QC-LDPC码的一种新颖构造方法 被引量:8

A novel construction method of QC-LDPC codes based on Galois field multiplicative group
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摘要 基于Galois域GF(q)乘群,提出了一种构造简单且编码容易实现的新颖准循环低密度奇偶校验(QC-LDPC)码构造方法,可灵活地调整码长、码率,且编译码复杂度低。用本文方法构造了适用于光通信系统的非规则QC-LDPC(3843,3603)码,仿真表明,与已广泛用于光通信系统中的经典RS(255,239)码相比,用本文方法构造的码具有更好的纠错性能,且其性能优于用SCG方法构造的LDPC码和规则的QC-LDPC(4221,3956)码,适合用于高速长距离光通信系统。 A novel construction method with the advantages of simple construction and easy implementation encoding for quasi-cyclic low-density parity-check(QC-LDPC) codes based on Galois field (GF(q)) multiplicative group is proposed. This algorithm can flexibly adjust code length and code rate Furthermore, the complexity of the encoding and decoding is low. An irregular QC-LDPC(3843,3603) code suitable for optical communication Systems is constructed by applying the proposed construction method. The simulation results show that the error-correction performance of the QC-LDPC(3843,3603) code is better than that of the classic RS(255,239) code, the LDPC code constructed by the SCG construction method,and the regular QC-LDPC(4221,3956) code. So the QC-LDPC(3843,3603) code is suitable for the high-speed long-haul optical communication systems.
出处 《光电子.激光》 EI CAS CSCD 北大核心 2012年第7期1304-1308,共5页 Journal of Optoelectronics·Laser
基金 国家自然科学基金(61071117 61003256) 重庆市自然科学基金(2010BB2409) 重庆市教委(KJ110519)资助项目
关键词 准循环低密度奇偶校验(QC—LDPC)码 Galois域(GF(q)) 误码率(BER) quasi-cyclic low-density parity-check (QC-LDPC) codes Galois field (GF(q)) bit error rate (BER)
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参考文献16

  • 1Gallager R G. Low density parity check codes[J]. IEEE Transactions on Informat'on Theory, 1962,8(3) : 21-28.
  • 2Fossorier M P C. Quasi cyclic low-density parity-check codes from circulant permutation matrices [J]. IEEE Transaction on Information Theory, 2004, 50 ( 8 ) : 1788- 1793.
  • 3Kou Y, Lin S, Fossorier M Low-density parity-check codes based on finite geometries;A rediscovery and new results[J] IEEE Transaction on Information Theory,2001, 47(7) :2711-2736.
  • 4Lan Lan, Lingqi Zeng, Ying Y. Tai, et al. Construction of quasi-cyclic LDPC codes for AWGN and binary erasure channels;a finite field approach[J]. IEEE Trans. Inform. Theory, 2007,53 (7) : 2429-2458.
  • 5Djordjevic I B, Arabaci M, Minkov L L. Next generation fec for high-capacity communication in optical transport net- works [J]. Journal of Lightwave Technology, 2009, 27 (16) :3518-3530.
  • 6Xu Chen,Francis C M. Lau. Construction of high-rate QC- LDPC codes[A]. 2011 IEEE International Conference on Advanced Technologies for Communications [ C]. 2011, 24-27.
  • 7Kamiya N, Shioiri S. Concatenated QC-LDPC and SPC codes for 100 GBPS ultra long-haul optical transmission systems[J]. 2010 conference on OFC/NFOEC[C]. 2010, 1-3.
  • 8Ivan B Djordjevic, Lei Xu, Ting Wang, et al. Large girth low-density parity-check codes for long-haul high-speed optical communications [A]. 2008 Conference on OFC/ NFOEO[C]. 2008,1-3.
  • 9Yoshikuni Miyata, Kazuo Kubo, Hideo Yoshida, et al. Pro- posal for frame structure of optical channel transport unit employing LDPC codes for 100 Gb/s FEC[A]. Optical Fi- ber Oommunication, 2009. OFC[C]. 2009,1-3.
  • 10袁建国,叶文伟,毛幼菊.光通信系统中基于LDPC码的SFEC码型研究[J].光电子.激光,2009,20(11):1450-1453. 被引量:10

二级参考文献10

  • 1Gallager R G.Lowdensity parity check codes[].IEEE Transactions onInformation Theory.1962
  • 2DjordjevicI B,Sankaranarayanan S,Chilappagari S K,et al.Low-density parity-check codes for40-gb/s optical transmission systems[].IEEEJournal of Selected Topics in QuantumElectronics.2006
  • 3DjordjevicI B,Vasic B V,Sankaranarayanan S.Regular andirregular low-density parity-checkcodesfor ultra-longhaul high-speedoptical communications:construction and performance analysis[].Proceeding of OFC.2004
  • 4Davey MC,MacKay DJ C.Lowdensity parity checkcodes overGF(q)[].Proceedings of theIEEEInformation Theory Workshop.1998
  • 5Daniel Hsli,Erik Svensson.Low-density Parity-checkcodesfor mag-netic recording[]..2000
  • 6.Forward error correction for high bit rate DWDM submarine systems[].ITU-T G.
  • 7Mackay DJC,Neal RM.Near Shannon limit performance of low density parity check codes[].Electronics Letters.1996
  • 8MacKay DJC.Good error-correcting codes based on very sparse matrices[].IEEE Transactions on Information Theory.1999
  • 9I. B. Djordjevic,,B. Vasic.Nonbinary LDPC Codes for Optical Communication Systems[].IEEE Photonics Technology Letters.2005
  • 10Jinhyun Youn,,Jang H,Kyoungsoo Kim,Jichai Jeong.BER performance due to irregularity ofrow-weight distribution of the parity-check matrix in irregular LDPC codes for 10gb/s optical signals[].Journal of Lightwave Technology.2005

共引文献9

同被引文献90

  • 1袁建国,叶文伟,毛幼菊.光通信系统中基于LDPC码的SFEC码型研究[J].光电子.激光,2009,20(11):1450-1453. 被引量:10
  • 2RobertMGagliardi ShermanKarp.光通信技术与应用[M].北京:电子工业出版社,1998..
  • 3MacKay D J C. Good error-correcting codes based on very sparse matrices[J]. IEEE Transaction on Information Theory, 1999,45(2) : 399-431.
  • 4MacKay D J C,Neal R M. Near shannon limit performance of low density parity check codes[J]. Electronic Letters, 1996,32(18) :1645-1646.
  • 5Lan L,Zeng L Q,Tai Y Y,et al. Construction of quasi-cy- clic LDPC codes for AWGN and binary erasure channels, a finite field approach[J]. IEEE Transaction on Informa- tion Theory, 2007,53(7) : 2429-2458.
  • 6Fossorier M P C. Quasi cyclic low-density parity-check codes from circulant permutation matrices [J]. IEEE Transaction on Information Theory, 2004, 50 (8) : 1788- 1793.
  • 7Myung S, Yang K. A combining method of quasi-cyclic LDPC codes by the chinese remainder theory[J]. IEEE Commun. Lett. , 2005,9(9) : 823-825.
  • 8Fujisawa M,Sakata S. A class of quasi-cyclic regular LD- PC codes from cyclic difference families with girth 8[A]. In Proc. IEEE Int. Symp. Information Theory[C]. 2005, 2290-2294.
  • 9LI Zong-wang, CHEN Lei, ZENG Ling-qi, et al. Efficient encoding of Quasi-cyclic low-density parity-check codes [J]. IEEE Trans. Commun. ,2006,54(1) :71-81.
  • 10Richardson T, Urbanke R. Efficient encoding of low-densi- ty parity-check codes[J]. IEEE Trans. Inf. Theory, 2001, 47(2) :638-656.

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