Analysis of error floors of LDPC codes under LP decoding over the BSC

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2009, Pages 379-383

  Chilappagari, Shashi Kiran ^a   Vasic, Bane ^a   Stepanov, Mikhail ^b   Chertkov, Michael ^c  

^a UNIVERSITY OF ARIZONA   (United States)

^b The University of Arizona   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY SYMMETRIC CHANNEL; CODEWORD; DIFFERENT SIZES; EFFICIENT ALGORITHM; ERROR FLOOR; ERROR-FLOOR REGION; INSTANTONS; LDPC CODES; LINEAR PROGRAMMING DECODING; LOW-DENSITY PARITY-CHECK CODES; LP DECODING; RANDOM INPUT; SEARCH ALGORITHMS; SEMI-ANALYTICAL METHODS; SUPPORT VECTOR; TRANSITION PROBABILITIES;

COMMUNICATION CHANNELS (INFORMATION THEORY); DECODING; ERROR STATISTICS; FLOORS; LEARNING ALGORITHMS; LINEARIZATION;

SET THEORY;

EID: 70449470759     PISSN: 21578102     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2009.5205739     Document Type: Conference Paper

References (16)

1. R. G. Gallager, Low Density Parity Check Codes. Cambridge, MA: M.I.T. Press , 1963.
2. T. J. Richardson and R. Urbanke, "The capacity oflow-density paritycheck codes under message-passing decoding," IEEE Trans. Inform. Theory, vol. 47, no. 2, pp. 599-618, Feb. 2001.
3. J. Feldman, M. Wainwright, and D. Karger, "Using linear programming to decode binary linear codes," Information Theory, IEEE Transactions on, vol. 5 1, no. 3, pp. 954-972, March 2005 .
4. T. J. Richa rdson , " Error floors of LDPC codes," in 41st Annual Allerton Conf on Communications, Control and Computing, 2003, pp. 1426-1435. [Online]. Available : http://www.hpl.hp.com/personal/Pascal-Vontobel/ pseudocodewords/papers
5. S. K. Chilappagari, S. Sankaranarayanan, and B. Vasic, "Error floors of LDPC codes on the binary symmetric channel," in International Conference on Communications, vol. 3, June 11-15 2006, pp. 1089-1094.
6. M. Chertkov, "Reducing the error floor," Information Theory Workshop, 2007. ITW '07. IEEE, pp. 230-235, Sept. 2007 .
7. M. Chertkov and M. Stepanov, "An efficient pseudocodeword search algorithm for linear programming decoding of LDPC codes," Information Theory, IEEE Transactions on, vol. 54, no. 4, pp. 1514-1520, April 2008 .
8. S. K. Chilappagari, M. Chertkov, and B. Vasic, "Provably efficient instanton search algorithm for LP decoding of LDPC codes over the BSC," 2008 , submitted to IEEE Trans. Iriform. Theory. [Online]. Available: http://arxiv.org/abs/0808.2515
9. R. Koetter and P. O. Vontobel, "Graph covers and iterative decoding of finite-length codes," in Proc. of the 3rd Intern. Conf. on Turbo Codes and Related Topics, Sept. 1-5 2003, pp. 75-82.
10. P. O. Vontobel and R. Koetter, "Graph-cover decoding and finite length analysis of message-passing iterative decoding of LDPC codes," Dec. 2005 . [Online] . Available: http://arxiv.org/abs/cs.IT/0512078
11. C. Kelley and D. Sridhara, "Pscudocodewords of Tanner graphs," Information Theory, IEEE Transactions on, vol. 53, no. 11 , pp. 4013-4038, Nov. 2007 .
12. G. D. Forney, R. Koetter, F. R. Kschischang, and A. Reznik, "On the effective weights of pseudocodewords for codes defined on graphs with cycles," in In Codes, systems and graphical models. Springer, 2001, pp. 101-112.
13. M. G. Stepanov, V. Chemyak, M. Chertkov, and B. Vasic, " Diagnosis of weaknesses in modem error correction codes: A physics approach," Phys. Rev. Lett., vol. 95, p. 228701, Nov. 2005 .
14. M. Ivkovic, S. K. Chilappagari, and B. Vasic, " Eliminating trapping sets in low-density parity -check codes by using Tanner graph covers," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3763-3768, 2008 . [Online]. Available : http://dx.doi.org/IO.1109/TIT.2008.926319
15. R. M. Tanner, D. Sridhara, and T. Fuja, "A class of group structured LDPC codes," in ISCTA, 2001. [Online]. Available : http://www.soe.ucsc.edu/̃tanner/isctaGrpStrLDPC.pdf
16. D. J. C. Mackay, "Encyclopedia of sparse graph codes ." [Online]. Available : http://www.inference.phy.cam.ac.uk/mackay/codes/data.html