Abstract

In this paper, an integrated maximum a posteriori equalization and turbo product coding (IMAP-TPC) scheme for optical-fiber-communication systems (OFCS) is proposed. The scheme uses a probabilistic characterization of the electrical current in the presence of intersymbol interference (ISI) and noise to compensate their effects and improve the bit error rate. In the new IMAP-TPC scheme, TPC decoding is integrated with a symbol-by-symbol MAP detector. The MAP detector calculates the log-likelihood ratio of a received symbol using the conditional probability-density information and, hence, obtains a much more accurate reliability measure than the traditional measure used in the TPC decoder. The TPC was generated by serial concatenation of two Bose, Chaudhuri, and Hocquenghem codes with low overhead, which is a structure similar to a recently proposed hardware implementation of TPC decoder for optical systems. Simulation results with all-order polarization mode dispersion and amplified spontaneous emission noise demonstrate both the practicality and the effectiveness of the IMAP-TPC scheme for OFCS.

© 2006 IEEE

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  1. H. Bülow, "Electronic equalization of transmission impairments," Optical Fiber Communication Conf. (OFC) AnaheimCA (2002) TuF.
  2. T. Adali, "Signal processing for optical communications," Proc. 15th LEOS (2002) pp. 623-624.
  3. H. Bülow, G. Thielecke, "Electronic PMD mitigation—From linear equalization to maximum-likelihood detection," Optical Fiber Communication Conf. (OFC) AnaheimCA (2001) WAA3.
  4. W. Xi, T. Adali, J. Zweck, "A MAP equalizer for the optical communications channel," J. Lightw. Technol. 23, 3989-3996 (2005).
  5. F. Xiong, "Sequential decoding of convolutional codes in channels with intersymbol interference," IEEE Trans. Commun. 43, 828-836 (1995).
  6. G. D. Forney, "Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference," IEEE Trans. Inf. Theory IT-18, 363-378 (1972).
  7. R. Koetter, A. Singer, M. Tüchler, "Turbo equalization," Proc. IEEE Signal Mag. (2003) pp. 67-80.
  8. O. Agazzi, D. Crivelli, H. Carrer, "Maximum likelihood sequence estimation in the presence of chromatic and polarization mode dispersion in intensity modulation/direct detection optical channels," Proc. ICC (2004) pp. 2787-2793.
  9. R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, W. L. Kath, "Accurate calculation of eye diagrams and bit error rates in optical transmission systems using linearization," J. Lightw. Technol. 20, 389-400 (2002).
  10. D. Marcuse, C. R. Menyuk, P. K. A. Wai, "Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence," J. Lightw. Technol. 15, 1735-1746 (1997).
  11. T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, "Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems," J. Sel. Topics Quantum Electronics 10, 376-386 (2004).
  12. A. J. Viterbi, "Error bounds for convolutional codes and an asymptotically optimum decoding algorithm," IEEE Trans. Inf. Theory IT-13, 260-269 (1967).
  13. R. M. Pyndiah, "Near-optimum decoding of product codes: Block turbo codes," IEEE Trans. Commun. 46, 1003-1010 (1998).
  14. R. Morelos-Zaragoza, The Art of Error Correcting Coding (Wiley, 2002).
  15. W. Xi, T. Adali, Y. Cai, "Probability distribution estimation for an integrated coding and equalization scheme in optical communications," Proc. ICASSP pp. iii/961-iii/964.
  16. W. Xi, T. Adai, Integrated MAP equalization and turbo product coding for optical fiber communications systems (2006) ApplicationNo. 11/471, 717.

IEEE Trans. Commun.

F. Xiong, "Sequential decoding of convolutional codes in channels with intersymbol interference," IEEE Trans. Commun. 43, 828-836 (1995).

R. M. Pyndiah, "Near-optimum decoding of product codes: Block turbo codes," IEEE Trans. Commun. 46, 1003-1010 (1998).

IEEE Trans. Inf. Theory

A. J. Viterbi, "Error bounds for convolutional codes and an asymptotically optimum decoding algorithm," IEEE Trans. Inf. Theory IT-13, 260-269 (1967).

G. D. Forney, "Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference," IEEE Trans. Inf. Theory IT-18, 363-378 (1972).

J. Lightw. Technol.

R. Holzlöhner, V. S. Grigoryan, C. R. Menyuk, W. L. Kath, "Accurate calculation of eye diagrams and bit error rates in optical transmission systems using linearization," J. Lightw. Technol. 20, 389-400 (2002).

D. Marcuse, C. R. Menyuk, P. K. A. Wai, "Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence," J. Lightw. Technol. 15, 1735-1746 (1997).

W. Xi, T. Adali, J. Zweck, "A MAP equalizer for the optical communications channel," J. Lightw. Technol. 23, 3989-3996 (2005).

J. Sel. Topics Quantum Electronics

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, "Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems," J. Sel. Topics Quantum Electronics 10, 376-386 (2004).

Other

H. Bülow, "Electronic equalization of transmission impairments," Optical Fiber Communication Conf. (OFC) AnaheimCA (2002) TuF.

T. Adali, "Signal processing for optical communications," Proc. 15th LEOS (2002) pp. 623-624.

H. Bülow, G. Thielecke, "Electronic PMD mitigation—From linear equalization to maximum-likelihood detection," Optical Fiber Communication Conf. (OFC) AnaheimCA (2001) WAA3.

R. Koetter, A. Singer, M. Tüchler, "Turbo equalization," Proc. IEEE Signal Mag. (2003) pp. 67-80.

O. Agazzi, D. Crivelli, H. Carrer, "Maximum likelihood sequence estimation in the presence of chromatic and polarization mode dispersion in intensity modulation/direct detection optical channels," Proc. ICC (2004) pp. 2787-2793.

R. Morelos-Zaragoza, The Art of Error Correcting Coding (Wiley, 2002).

W. Xi, T. Adali, Y. Cai, "Probability distribution estimation for an integrated coding and equalization scheme in optical communications," Proc. ICASSP pp. iii/961-iii/964.

W. Xi, T. Adai, Integrated MAP equalization and turbo product coding for optical fiber communications systems (2006) ApplicationNo. 11/471, 717.

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