A class of structured LDPC codes with large girth

A class of structured LDPC codes-turbo-structured LDPC (TS-LDPC) codes-composed of two subtrees connected by an interleaver is introduced in this paper. TS-LDPC codes with good girth properties are easy to design: careful design of the interleaver component prevents short cycles in its Tanner graph. A methodology to design TS-LDPC codes with arbitrary column weight j/spl ges/2 and arbitrary girth is also presented. In addition, a complexity reduced decoding algorithm is described. Simulation results demonstrate the good performance of TS-LDPC codes when compared to random LDPC codes of the similar size and rate.

[1]  X. Jin Factor graphs and the Sum-Product Algorithm , 2002 .

[2]  Jin Lu,et al.  Turbo like decoding of LDPC codes , 2003, Digest of INTERMAG 2003. International Magnetics Conference (Cat. No.03CH37401).

[3]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.

[4]  J. Moura,et al.  Structured low-density parity-check codes , 2004, IEEE Signal Processing Magazine.

[5]  R. M. Tanner Spectral graphs for quasi-cyclic LDPC codes , 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252).

[6]  Robert G. Gallager,et al.  Low-density parity-check codes , 1962, IRE Trans. Inf. Theory.

[7]  D.J.C. MacKay,et al.  Good error-correcting codes based on very sparse matrices , 1997, Proceedings of IEEE International Symposium on Information Theory.

[8]  Michael Horstein,et al.  Review of 'Low-Density Parity-Check Codes' (Gallager, R. G.; 1963) , 1964, IEEE Transactions on Information Theory.

[9]  Robert Michael Tanner,et al.  A recursive approach to low complexity codes , 1981, IEEE Trans. Inf. Theory.

[10]  José M. F. Moura,et al.  Turbo design for LDPC codes with large girth , 2003, 2003 4th IEEE Workshop on Signal Processing Advances in Wireless Communications - SPAWC 2003 (IEEE Cat. No.03EX689).

[11]  Li Ping,et al.  Concatenated tree codes: A low-complexity, high-performance approach , 2001, IEEE Trans. Inf. Theory.