吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (01): 244-249.

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Universal PEG algorithm based on Kronecker product of matrices for constructing QC-LDPC codes

LI Si-jia1, MAO Yu-quan1, CAO Xiang-yu1, PEI Xin1, YIN Zhong-hai2,3   

  1. 1. College of Information and Navigation, Air Force Engineering University, Xi'an 710077, China;
    2. Key Lab of Computer Network and Information Security of Ministry of Education, Xidian University, Xi'an 710071, China;
    3. College of Science, Air Force Engineering University, Xi'an 710051, China
  • Received:2012-02-20 Online:2013-01-01 Published:2013-01-01

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Abstract: A universal Progressive Edge Growth (PEG) algorithm with the Kronecker product is proposed for constructing Quasi-Cyclic Low-Density Parity-Check (QC-LDPC) codes. The Kronecker product is introduced for constructing the basic matrix. The check matrix of QC-LDPC codes is designed based on the demand of the node degree distribution. It is proved that the girth of the check matrix is larger than Girth-8. Simulation results indicate that the proposed algorithm performs well to maintain the low density and bite error rate characters of the constructed QC-LDPC coeds. It can be used for the design of regular and irregular QC-LDPC coeds.

Key words: communication, progressive edge-growth(PEG) algorithm, Kronecker product, quasi-cyclic low-density parity-check codes, basic matrix, degree distribution

CLC Number: 

  • TN911.22
[1] Gallager R G. Low-density parity-check codes[J]. IRE Transactions on Information Theory, 1962, 8(1): 21-28.

[2] Fan J L. Array codes as low-density parity-check codes//Proc 2nd Int Symp Turbo Codes and Related Topics, Brest, France, 2000:543-546.

[3] Tai Ying-yu, Lan Lan, Lin Shu, et al. Algebraic construction of quasi-cyclic LDPC codes for the AWGN and erasure channels[J]. IEEE Transactions on Communications, 2006, 54(10): 1765-1774.

[4] Kang Jing-yu, Huang Qin, Lin Shu, et al. Quasi-cyclic LDPC codes: an algebraic construction[J]. IEEE Transactions on Communications, 2010, 58(5): 1383-1396.

[5] Fossorier M P. Quasi-cyclic low-density parity check codes from circulate permutation matrices[J]. IEEE Transactions on Information Theory, 2004, 50(8): 1788-1792.

[6] Zeng Ling-qi, Lan Lan, Lin Shu, et al. Construction of nonbinary cyclic quasi-cyclic and regular LDPC codes: a finite geometry approach[J]. Transactions on Communications, 2008, 56(3):378-387.

[7] Huang Chun-ming, Huang Jen-fa, Yang Chao-chin. Construction of quasi-cyclic LDPC codes from quadratic congruences[J]. IEEE Communications Letters, 2008, 12(4): 313-314.

[8] Ren Pin-yi, Yuan Qiang, Wang Rui, et al. Low complexity construction for quasi-cyclic low-density parity-check codes by progressive-block growth[J]. Science China Information Sciences, 2011,54(2):371-380.

[9] Hu X Y, Eleftheriou E, Arnold D M. Progressive edge-growth tanner graphs//IEEE GLOBECOM, San Antonio, TX, USA, 2001: 995-1001.

[10] Hu X Y, Eleftheriou E, Arnold D M. Regular and irregular progressive edge-growth tanner graphs[J]. IEEE Transactions on Information Theory, 2005, 51(1): 386-398.

[11] Kong Ling-jun, Xiao Yang. Design of good QC-LDPC codes without small girth in the p-plane[J]. Journal of System Engineering and Electronic, 2011, 22(2): 183-187.

[12] Chen Zhen-gang, Bates Stephen. Construction of low-density parity-check convolutional codes through progressive edge-growth[J]. IEEE Communications Letters, 2005, 12(9):1058-1060.

[13] Sharon Eran, Litsyn Simon. Constructing LDPC codes by error minimization progressive edge growth[J]. IEEE Transactions on Communications, 2008, 56 (3):359-368.

[14] Kou Yu, Lin Shu, Fossorier Marc P C. Low density parity check codes based on finite geometries: a rediscovery and new results[J]. IEEE Transactions on Information Theory, 2001, 47(7): 2711-2736.
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