High rate non-systematic LDPC codes for nonuniform sources

Turbo Codes and Related Topics; 6th International ITG-Conference on Source and Channel Coding (TURBOCODING), 2006 4th International Symposium on

Volumn , Issue , 2006, Pages

  Shamir, Gil I ^a   Wang, Li ^a   Boutros, Joseph J ^b  

^a UNIVERSITY OF UTAH   (United States)

^b TELECOM PARISTECH   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CODING; ENCODING (SYMBOLS); FORWARD ERROR CORRECTION; INVERSE PROBLEMS; MATRIX ALGEBRA; REDUNDANCY; SATELLITE COMMUNICATION SYSTEMS; TURBO CODES;

CHANNEL ENCODING; HIGH RATE CODES; HIGH RATE CODING; LOW-DENSITY PARITY-CHECK (LDPC) CODES; NONUNIFORM SOURCES; REDUNDANT DATA; SOURCE REDUNDANCY; SPARSE MATRICES;

CODES (SYMBOLS);

EID: 84994735257     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. A. Alloum, J. J. Boutros, G. I. Shamir, L. Wang, "Non-systematic LDPC codes via scrambling and splitting", in Proceedings of The 43rd Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, U.S.A., Sept. 28-30, 2005.
2. A. Banerjee, F. Vatta, B. Scanavino, D. J. Costello, Jr., "Nonsys-tematic turbo codes, " IEEE Trans. Communications, to appear.
3. R. G. Gallager, "Low-density parity-check codes, " IEEE Trans. Inform. Theory, pp. 21-28, Jan. 1962.
4. R. G. Gallager, Low Density Parity Check Codes, MIT Press, 1963.
5. J. Garcia-Frias and J. D. Villasenor, "Joint turbo decoding and estimation of hidden Markov sources, " IEEE Journal on Selected Areas in Communications, vol. 19, no. 9, pp. 1671-1679, Sept 2001.
6. J. Garcia-Frias and W. Zhong, "Approaching Shannon performance by iterative decoding of linear codes with low-density generator martix, " IEEE Communications Letters, vol. 7, no. 6, pp. 266-268, June 2003.
7. J. Hagenauer, "Source-controlled channel decoding, " IEEE Trans. on Comm., vol. 43, no. 9, pp. 2449-2457, Sept. 1995.
8. I. Kanter and D. Saad, "Error-correcting codes that nearly saturate Shannon's bound, " Physics Review Letters, vol. 83, pp. 26602663, June 1999.
9. D. J. C. Mackay and R. M. Neal, "Good codes based on very sparse matrices, " in Cryptography and Coding, 5th IMA Conference, no. 1025 in lecture Notes in Computer Science, pp. 100-111, Berlin, Springer, 1995.
10. D. J. C. MacKay, "Good error-correcting codes based on very sparse matrices, "IEEE Trans. on Information Theory, vol. 45, no. 2, pp. 399-431, Mar. 1999.
11. D. J. C. MacKay, "Evaluation of Gallager codes for short block length and high rate applications, " in Codes, Systems and Graphical Models, ed. by B. Marcus and J. Rosenthal, vol. 123 of IMA Volumes in Mathematics and its Applications, pp. 113130, New-York: Springer Veriag, 2000.
12. S. Shamai, and S. Verdli, "The empirical distribution of good codes, " IEEE Trans. Inform. Theory, vol. 43, pp. 836-846, May 1997.
13. G. I. Shamir and J. J. Boutros, "Non systematic low-density parity-check codes for nonuniform sources, " in Proceedings of IEEE International Symposium on Information Theory, Adelaide, Australia, pp. 1898-1902, Sept. 2005.
14. G. I. Shamir, and K. Xie, "Design of non-systematic turbo codes for universal source controlled channel decoding, " in Proc. of IEEE Information Theory Workshop on Coding and Complexity, Rotorua, New Zealand, Aug. 2005.
15. G. C. Zhu, F. Alajaji, J. Bajcsy, and P. Mitran, "Transmission of nonuniform memoryless sources via nonsystematic turbo codes, " IEEE Trans. Commun, vol. 52, no. 8, pp. 1344-1354, Aug., 2004.