On the universality of LDPC code ensembles under belief propagation and ML decoding

2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010

Volumn , Issue , 2010, Pages 355-359

  Shuval, Boaz ^a   Sason, Igal ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Belief Propagation (BP); Bhattacharyya parameter (B parameter); Density Evolution (DE); Low density parity check (LDPC) codes

Indexed keywords

ACHIEVABLE RATE; ANALYTICAL RESULTS; B-PARAMETER; BELIEF PROPAGATION; CLOSED FORM; DENSITY EVOLUTION; LDPC CODES; LOW-DENSITY PARITY-CHECK CODES; MAXIMUM-LIKELIHOOD DECODING; MEMORYLESS BINARY-INPUT OUTPUT-SYMMETRIC CHANNELS; UNIVERSAL DESIGN;

BACKPROPAGATION; CODING ERRORS; DECODING; DESIGN; ENGINEERS; MAXIMUM LIKELIHOOD;

FREQUENCY SELECTIVE FADING;

EID: 78651230966     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/EEEI.2010.5662204     Document Type: Conference Paper

References (13)

1. S. Y. Chung, "On the Construction of Some Capacity-Approaching Coding Schemes," PhD dissertation, MIT, 2000.
2. M. Franceschini, G. Ferrari, and R. Raheli, "Does the performance of LDPC codes depend on the channel?," IEEE Trans. on Communications, vol. 54, pp. 2129-2132, December 2006.
3. R. G. Gallager, Low-Density Parity-Check Codes, Cambridge, MA, USA, MIT Press, 1963.
4. C. H. Hsu, "Design and Analysis of Capacity-Achieving Codes and Optimal Receivers with Low Complexity," PhD dissertation, University of Michigan, USA, 2006.
5. P. Oswald and A. Shokrollahi, "Capacity-achieving sequences for the erasure channel," IEEE Trans. on Information Theory, vol. 48, pp. 3017-3028, December 2002.
6. F. Peng, W. E. Ryan and R. D. Wesel, "Surrogate-channel design of universal LDPC codes," IEEE Communications Letters, vol. 10, pp. 480-482, June 2006.
7. T. Richardson, A. Shokrollahi and R. Urbanke, "Design of capacity-approaching low-density parity-check codes," IEEE Trans. on Information Theory, vol. 47, pp. 619-637, February 2001.
8. T. Richardson and R. Urbanke, Modern Coding Theory, Cambridge University Press, 2008.
9. A. Sanaei, M. Ramezani and M. Ardakani, "Identical-capacity channel decomposition for design of universal LDPC codes," IEEE Trans. on Communications, vol. 57, pp. 1972-1981, July 2009.
10. I. Sason and R. Urbanke, "Parity-check density versus performance of binary linear block codes over memoryless symmetric channels," IEEE Trans. on Information Theory, vol. 49, no. 7, pp. 1611-1635, July 2003.
11. I. Sason, "On universal properties of capacity-approaching LDPC code ensembles," IEEE Trans. on Information Theory, vol. 55, pp. 2956-2990, July 2009.
12. I. Sason and B. Shuval, "On universal LDPC code ensembles," Proc. of ISIT 2010, pp. 689-693, June 2010.
13. B. Shuval and I. Sason, "On universal LDPC code ensembles over memoryless symmetric channels," submitted to the IEEE Trans. on Information Theory, April 2010. Available per request.