Low-density parity-check codes for 40-Gb/s optical transmission systems

IEEE Journal on Selected Topics in Quantum Electronics

Volumn 12, Issue 4, 2006, Pages 555-562

  Djordjevic, Ivan B ^a,b   Sankaranarayanan, Sundararajan ^a,b,c   Chilappagari, Shashi Kiran ^a,b   Vasic, Bane ^a,b  

^a IEEE   (United States)

^b University of Arizona   (United States)

^c SEAGATE TECHNOLOGY   (United States)

Author keywords

Error floor; Low density parity check (LDPC) codes; Optical communications; Turbo product codes

Indexed keywords

ERROR FLOOR; LOW-DENSITY PARITY-CHECK (LDPC) CODES; TURBO PRODUCT CODES;

ALGORITHMS; APPROXIMATION THEORY; CARRIER COMMUNICATION; DECODING; ERROR ANALYSIS; TURBO CODES;

OPTICAL COMMUNICATION;

EID: 33747245074     PISSN: 1077260X     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTQE.2006.876182     Document Type: Article

References (38)

1. R. H. Morelos-Zaragoza, The Art of Error Correcting Coding. Boston, MA: Wiley, 2002.
2. O. A. Sab, "FEC techniques in submarine transmission systems," in Proc. Optical Fiber Communication Conf., 2001, vol. 2, pp. TuF1-1-TuF1-3.
3. R. M. Pyndiah, "Near-optimum decoding of product codes: Block turbo codes," IEEE Trans. Commun., vol. 46, no. 8, pp. 1003-1010, Aug. 1998.
4. O. A. Sab and V. Lemarie, "Block turbo code performances for long-haul DWDM optical transmission systems," in Proc. OFC 2001, vol. 3, pp. 280-282.
5. T. Mizuochi et al., "Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems," IEEE J. Sel. Topics Quantum Electron., vol. 10, no. 2, pp. 376-386, Mar./Apr. 2004.
6. _, "Next generation FEC for optical transmission systems," in Proc. OFC 2003, vol. 2, pp. 527-528.
7. I. B. Djordjevic, O. Milenkovic, and B. Vasic, "Generalized low-density parity-check codes for optical communication systems," J. Lightw. Technol., vol. 23, no. 5, pp. 1939-1946, May 2005.
8. B. Vasic, I. B. Djordjevic, and R. Kostuk, "Low-density parity check codes and iterative decoding for long haul optical communication systems," J. Lightw. Technol., vol. 21, no. 2, pp. 438-446, Feb. 2003.
9. I. B. Djordjevic et al., "Projective plane iteratively decodable block codes for WDM high-speed long-haul transmission systems," J. Lightw. Technol., vol. 22, no. 3, pp. 695-702, Mar. 2004.
10. O. Milenkovic, I. B. Djordjevic, and B. Vasic, "Block-circulant low-density parity-check codes for optical communication systems," IEEE/LEOS J. Sel. Topics Quantum Electron., vol. 10, no. 2, pp. 294-299, Mar./Apr. 2004.
11. B. Vasic and I. B. Djordjevic, "Low-density parity check codes for long haul optical communications systems," IEEE Photon. Technol. Lett., vol. 14, no. 8, pp. 1208-1210, Aug. 2002.
12. S.-Y. Chung et al., "On the design of low-density parity-check codes within 0.0045 dB of the shannon limit," IEEE Commun. Lett., vol. 5, no. 2, pp. 58-60, Feb. 2001.
13. M. C. Davey and D. J. C. MacKay, "Low-density parity check codes over GF(q)," IEEE Commun. Lett., vol. 2, no. 6, pp. 165-167, Jun. 1998.
14. H. Wymeersch et al., "Log-domain decoding of LDPC codes over GF(q)," in Proc. IEEE Int. Conf. Commun. 2004, vol. 2, pp. 772-776.
15. I. B. Djordjevic and B. Vasic, "Nonbinary LDPC codes for optical communication systems," IEEE Photon. Technol. Lett., vol. 17, no. 10, pp. 2224-2226, Oct. 2005.
16. H. Xiao-Yu et al., "Efficient implementations of the sum-product algorithm for decoding of LDPC codes," in Proc. IEEE Global Telecommunications Conf. (Globecom'01) Nov. 25-29, 2001, vol. 2, pp. 1036-1036E.
17. D. Chase, "A class of algorithms for decoding of block codes with channel measurements information," IEEE Trans. Inf. Theory, vol. IT-18, no. 1, pp. 170-182, Jan. 1972.
18. S. A. Hirst, B. Honary, and G. Markarian, "Fast Chase algorithm with an application in turbo decoding," IEEE Trans. Commun., vol. 49, no. 10, pp. 1693-1699, Oct. 2001.
19. W. E. Ryan, "Concatenated convolutional codes and iterative decoding," in Wiley Encyclopedia in Telecommunications, J. G. Proakis, Ed. New York: Wiley, 2003.
20. G. Montorsi and S. Benedetto, "Design of fixed-point iterative decoders for concatenated codes with interleavers," IEEE J. Sel. Areas Commun., vol. 19, no. 5, pp. 871-882, May 2001.
21. B. Vasic, V. Rao, I. B. Djordjevic, R. Kostuk, and I. Gabitov, "Ghost pulse reduction in 40-Gb/s systems using line coding," IEEE Photon. Technol. Lett., vol. 16, no. 7, pp. 1784-1786, Jul. 2004.
22. I. B. Djordjevic, S. K. Chilappagari, and B. Vasic, "Suppression of intrachannel nonlinear effects using pseudo-ternary constrained codes," J. Lightw. Technol, vol. 24, no. 2, pp. 769-774, Feb. 2006.
23. P. Elias, "Error-free coding," IRE Trans. Inf. Theory, vol. IT-4, pp. 29-37, Sep. 1954.
24. L. R. Bahl, J. Cocke, F. Jelinek, and J. Raviv, "Optimal decoding of linear codes for minimizing symbol error rate," IEEE Trans. Inf. Theory, vol. IT-20, no. 2, pp. 284-287, Mar. 1974.
25. A. H. Gnauck and P. J. Wintzer, "Optical phase-shift keyed transmission," J. Lightw. Technol., vol. 23, no. 1, pp. 115-130, Jan. 2005.
26. M. Mansour, "Implementation of LDPC decoders," presented at the IEEE Communication Theory Workshop, Park City, UT, Jun. 13-15, 2005.
27. T. Richardson, "Error floors of LDPC codes," in Proc. 41st Allerton Conf. Commun., Control and Comput., Monticello, IL, Oct. 2003, pp. 1426-1435.
28. V. Chernyak. (2005, Jan. 10-12). Local theory of BER for LDPC codes: instantons on a tree LANL Workshop on Applications of Statistical Physics to Coding Theory, Santa Fe, New Mexico. [Online]. Available: http://cnls.lanl.gov/ ~chertkov/FEC_agenda.htm
29. R. G. Gallager, Low Density Parity Check Codes. Cambridge, MA: MIT Press, 1963.
30. S. K. Chilappagari, S. Sankaranarayanan, and B. Vasic, "Error floors of LDPC codes on binary symmetric channel," presented at the IEEE Int. Conf. Commun., (ICC 2006), Istanbul, Turkey, Jun. 11-15, 2006.
31. B. Vasic, S. K. Chilappagari, and S. Sankaranarayanan, "Error floors of LDPC codes on binary symmetric channel," presented at the IEEE Communication Theory Workshop, Park City, UT, Jun. 13-15, 2005.
32. P. Humblet and M. Azioglou, "On the bit error rate of lightwave systems with optical amplifiers," J. Lightw. Technol., vol. 9, no. 11, pp. 1576-1582, Nov. 1991.
33. I. B. Djordjevic and B. Vasic, "Receiver modeling for optically amplified communication systems," Int. J. Electron. Commun. (AEÜ), vol. 57, no. 6, pp. 381-390, 2003.
34. _, "Constrained coding techniques for suppression of intrachannel nonlinear effects in high-speed optical transmission," J. Lightw. Technol., vol. 24, no. 1, pp. 411-419, Jan. 2006.
35. S. Lin and D. J. Costello, Error Control Coding: Fundamentals and Applications. Englewood Cliffs, NJ: Prentice-Hall, 1983.
36. D. Declercq and M. P. Fossorier, "Decoding algorithms for LDPC codes over GF(q)," in IEEE Trans. Commun., submitted for publication.
37. q)," in Proc. ITW'03, Paris, France, Mar. 31-Apr. 4, 31-4, 2003, pp. 70-73.
38. G. P. Agrawal, Nonlinear Fiber Optics. San Diego, CA: Academic, 2001.