Abstract

A problem of suppression of intrachannel nonlinearities through the use of constrained coding is considered. Three different techniques are proposed and compared with respect to their efficiency, namely 1) constrained coding; 2) combined constrained and error control coding; and 3) deliberate error insertion. Significant Q-factor improvement up to 16 dB depending on code rate and number of spans is demonstrated. A combined constrained-iterative forward error correction (FEC) scheme can operate in the presence of strong intrachannel nonlinearities when even advanced FEC schemes would be overwhelmed with errors. It provides a coding gain of 12.1 dB at a bit error rate (BER) of 10-9. Deliberate error insertion is an efficient approach to balance the encoder complexity and the achievable coding gain.

© 2006 IEEE

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  6. I. B. Djordjevic, S. K. Chilappagari and B. Vasic, "Suppression of intrachannel nonlinear effects using pseudo-ternary constrained codes", J. Lightw. Technol.,
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  16. V. Rao, I. B. Djordjevic and B. Vasic, "Application of modulation codes to ghost pulse suppression", in Proc. IEEE/LEOS Workshop Advanced Modulation Formats, Rio Grande, PR, 2004, pp. 29-30.
  17. I. B. Djordjevic and B. Vasic, "A ternary modulation code for suppression of intrachannel nonlinear effects in high-speed optical transmission", presented at the Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference on CD-ROM (Optical Society of America, Washington, DC), Anaheim, CA, Paper OThW2, 2005.
  18. B. Vasic and K. Pedagani, "Run-length-limited low-density parity-check codes based on deliberate error insertion", IEEE Trans. Magn., vol. 40, no. 3, pp. 1738-1743, May 2004.
  19. W. E. Ryan, "Concatenated convolutional codes and iterative decoding," in Wiley Encyclopedia in Telecommunications, J. G. Proakis, Ed. New York: Wiley, 2003.
  20. I. B. Djordjevic, S. Sankaranarayanan and B. Vasic, "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.
  21. 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.

Other (21)

R. J. Essiambre, et al. "Intra-channel cross-phase modulation and four-wave mixing in high-speed TDM systems", Electron. Lett., vol. 35, no. 18, pp. 1576-1578, Sep. 1999.

M. Forzati, et al. "Reduction of intrachannel four-wave mixing using the alternate-phase RZ modulation format", Photon. Technol. Lett., vol. 14, no. 9, pp. 1285-1287, Sep. 2002.

X. Liu, et al. "Suppression of interchannel four-wave-mixing-induced ghost pulses in high-speed transmissions by phase inversion between adjacent marker blocks", Opt. Lett., vol. 27, no. 13, pp. 1177-1179, Jul. 2002.

C. Xie, et al. "Suppression of intrachannel nonlinear effects with alternate-polarization formats", J. Lightw. Technol., vol. 22, no. 3, pp. 806-812, Mar. 2004.

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.

I. B. Djordjevic, S. K. Chilappagari and B. Vasic, "Suppression of intrachannel nonlinear effects using pseudo-ternary constrained codes", J. Lightw. Technol.,

N. Alic and Y. Fainman, "Data-dependent phase coding for suppression of ghost pulses in optical fibers", IEEE Photon. Technol. Lett., vol. 16, no. 4, pp. 1212-1214, Apr. 2004.

D. Lind and B. Marcus, Symbolic Dynamics and Coding, Cambridge, UK: Cambridge Univ. Press, 1995.

B. Marcus, P. Siegel and R. Roth, "An introduction to coding for constrained systems," in Handbook of Coding Theory, W. C. Huffman, and V. Pless, Eds. New York: Elsevier, 1998.

G. P. Agrawal, Nonlinear Fiber Optics, San Diego, CA: Academic, 2001.

A. Mecozzi, C. B. Clausen and M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission", IEEE Photon. Technol. Lett., vol. 12, no. 4, pp. 392-394, Apr. 2000.

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.

J. L. Fan and J. M. Cioffi, "Constrained coding techniques for soft iterative decoders", in Proc. Global Telecommunications (GLOBECOM), Rio de Janeireo, Brazil, 1999, pp. 723-727.

W. G. Bliss, "Circuitry for performing error correction calculations on baseband encoded data to eliminate error propagation", IBM Techn. Discl. Bul., vol. 23, pp. 4633-4634, 1981.

S. Sankaranarayanan and B. Vasic, "Message-passing algorithm," in Coding and Signal Processing for Magnetic Recording Systems, B. Vasic, Ed. Boca Raton, FL: CRC, 2005, pp. 10-1-10-18.

V. Rao, I. B. Djordjevic and B. Vasic, "Application of modulation codes to ghost pulse suppression", in Proc. IEEE/LEOS Workshop Advanced Modulation Formats, Rio Grande, PR, 2004, pp. 29-30.

I. B. Djordjevic and B. Vasic, "A ternary modulation code for suppression of intrachannel nonlinear effects in high-speed optical transmission", presented at the Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference on CD-ROM (Optical Society of America, Washington, DC), Anaheim, CA, Paper OThW2, 2005.

B. Vasic and K. Pedagani, "Run-length-limited low-density parity-check codes based on deliberate error insertion", IEEE Trans. Magn., vol. 40, no. 3, pp. 1738-1743, May 2004.

W. E. Ryan, "Concatenated convolutional codes and iterative decoding," in Wiley Encyclopedia in Telecommunications, J. G. Proakis, Ed. New York: Wiley, 2003.

I. B. Djordjevic, S. Sankaranarayanan and B. Vasic, "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.

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.

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