Abstract

In this paper, we propose low-complexity, high-performance soft-equalization techniques for mitigating polarization mode dispersion (PMD) and chromatic dispersion (CD) in fiber optic communication systems employing multilevel modulation and coherent detection. Using deterministic sampling and tree search, the two proposed algorithms offer near-optimal performance at a much lower complexity than the maximum-likelihood sequence detection (MLSD). Moreover, the a posteriori symbol probabilities at the output can be employed effectively as a soft-input–soft-output demodulator in a turbo-type receiver in a channel-coded system to successively improve the receiver performance. Computer simulation results are provided to demonstrate the effectiveness of the proposed equalizers in high-speed fiber optic channels.

© 2009 IEEE

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  1. M. Secondini, "Optical equalization: System modeling and performance evaluation," J. Lightw. Technol. 24, 4013-4021 (2006).
  2. O. Agazzi, M. Hueda, H. Carrer, D. Crivelli, "Maximum-likelihood sequence estimation in dispersive optical channels," J. Lightw. Technol. 23, 749-762 (2005).
  3. G. Katz, D. Sadot, J. Tabrikian, "Electrical dispersion compensation equalizers in optical direct- and coherent-detection systems," IEEE Trans. Commun. 54, 2045-2050 (2006).
  4. A. Galarossa, L. Palmieri, A. Pizzinat, "Optimized spinning design for low PMD fibers: An analytical approach," J. Lightw. Technol. 19, 1502-1512 (2001).
  5. F. Ouellette, J. Cliche, S. Gagnon, "All-fiber devices for compensation based on chirped distributed resonant coupling," J. Lightw. Technol. 12, 1728-1738 (1994).
  6. J. Kahn, K. Ho, "Spectral efficiency limits and modulation/detection techniques for DWDM systems," IEEE J. Sel. Top. Quantum Electron. 10, 259-272 (2004).
  7. J. Winters, R. D. Gitlin, "Electrical signal processing techniques in long-haul fiber-optic systems," IEEE Trans. Commun. 38, 1439-1453 (1990).
  8. J. Winters, R. D. Gitlin, S. Kasturia, "Reducing the effects of transmission impairments in digital fiber optic systems," IEEE Commun. Mag. 31, 68-76 (1993).
  9. M. G. Taylor, "Coherent detection method using DSP for demodulation of signal and subsequent equalization of propagation impairments," IEEE Photon. Technol. Lett. 16, 674-676 (2004).
  10. M. Secondini, E. Forestieri, G. Prati, "Adaptive minimum MSE controlled PLC optical equalizer for chromatic dispersion compensation," J. Lightw. Technol. 21, 2322-2331 (2003).
  11. D. E. Crivelli, H. S. Carrer, M. R. Hueda, "Adaptive digital equalization in the presence of chromatic dispersion, PMD, and phase noise in coherent fiber optic systems," Proc. GLOBECOM (2004) pp. 2545-2551.
  12. H. F. Haunstein, W. Sauer-Greff, A. Dittrich, K. Sticht, R. Urbansky, "Principles for electronic equalization of polarization-mode dispersion," J. Lightw. Technol. 22, 1169-1182 (2004).
  13. T. Foggi, E. Forestieri, G. Golavolpe, G. Prati, "Maximum-likelihood sequence detection with closed-form metrics in OOK optical systems impaired by GVD and PMD," J. Lightw. Technol. 24, 3073-3084 (2006).
  14. M. Seimetz, "Performance of coherent optical Square-16-QAM-systems based on IQ-transmitters and homodyne receivers with digital phase estimation," Proc. Nat. Fiber Opt. Eng. Conf. (2006).
  15. D. S. Ly-Gagnon, S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation," J. Lightw. Technol. 24, 12-21 (2006).
  16. J. Wang, J. M. Kahn, "Performance of electrical equalizers in optically amplified OOK and DPSK systems," IEEE Photon. Technol. Lett. 16, 1397-1399 (2004).
  17. A. F. Elrefaie, R. E. Wagner, D. A. Atlas, D. G. Daut, "Chromatic dispersion limitations in coherent lightwave transmission systems," J. Lightw. Technol. LT-6, 704-709 (1988).
  18. J. Wang, J. Kahn, "Impact of chromatic and polarization-mode dispersion on DPSK systems using interferometric demodulation and direct detection," J. Lightw. Technol. 22, 362-371 (2004).
  19. B. Dong, X. Wang, "Sampling-based soft equalization for frequency-selective MIMO channels," IEEE Trans. Commun. 53, 278-288 (2005).
  20. P. Aggarwal, N. Prasad, X. Wang, "An enhanced deterministic sequential Monte Carlo method for near-optimal MIMO demodulation with QAM constellations," IEEE Trans. Signal Process. 55, 2395-2406 (2007).
  21. D. Chase, "A class of algorithms for decoding block codes with channel measurement information," IEEE Trans. Inf. Theory IT-18, 170-182 (1972).
  22. D. W. Waters, J. R. Barry, "The Chase family of detection algorithms for multiple-input multiple-output channels," Proc. IEEE GLOBECOM (2004) pp. 2635-2639.

2007 (1)

P. Aggarwal, N. Prasad, X. Wang, "An enhanced deterministic sequential Monte Carlo method for near-optimal MIMO demodulation with QAM constellations," IEEE Trans. Signal Process. 55, 2395-2406 (2007).

2006 (4)

M. Secondini, "Optical equalization: System modeling and performance evaluation," J. Lightw. Technol. 24, 4013-4021 (2006).

G. Katz, D. Sadot, J. Tabrikian, "Electrical dispersion compensation equalizers in optical direct- and coherent-detection systems," IEEE Trans. Commun. 54, 2045-2050 (2006).

T. Foggi, E. Forestieri, G. Golavolpe, G. Prati, "Maximum-likelihood sequence detection with closed-form metrics in OOK optical systems impaired by GVD and PMD," J. Lightw. Technol. 24, 3073-3084 (2006).

D. S. Ly-Gagnon, S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation," J. Lightw. Technol. 24, 12-21 (2006).

2005 (2)

B. Dong, X. Wang, "Sampling-based soft equalization for frequency-selective MIMO channels," IEEE Trans. Commun. 53, 278-288 (2005).

O. Agazzi, M. Hueda, H. Carrer, D. Crivelli, "Maximum-likelihood sequence estimation in dispersive optical channels," J. Lightw. Technol. 23, 749-762 (2005).

2004 (5)

J. Kahn, K. Ho, "Spectral efficiency limits and modulation/detection techniques for DWDM systems," IEEE J. Sel. Top. Quantum Electron. 10, 259-272 (2004).

M. G. Taylor, "Coherent detection method using DSP for demodulation of signal and subsequent equalization of propagation impairments," IEEE Photon. Technol. Lett. 16, 674-676 (2004).

J. Wang, J. Kahn, "Impact of chromatic and polarization-mode dispersion on DPSK systems using interferometric demodulation and direct detection," J. Lightw. Technol. 22, 362-371 (2004).

H. F. Haunstein, W. Sauer-Greff, A. Dittrich, K. Sticht, R. Urbansky, "Principles for electronic equalization of polarization-mode dispersion," J. Lightw. Technol. 22, 1169-1182 (2004).

J. Wang, J. M. Kahn, "Performance of electrical equalizers in optically amplified OOK and DPSK systems," IEEE Photon. Technol. Lett. 16, 1397-1399 (2004).

2003 (1)

M. Secondini, E. Forestieri, G. Prati, "Adaptive minimum MSE controlled PLC optical equalizer for chromatic dispersion compensation," J. Lightw. Technol. 21, 2322-2331 (2003).

2001 (1)

A. Galarossa, L. Palmieri, A. Pizzinat, "Optimized spinning design for low PMD fibers: An analytical approach," J. Lightw. Technol. 19, 1502-1512 (2001).

1994 (1)

F. Ouellette, J. Cliche, S. Gagnon, "All-fiber devices for compensation based on chirped distributed resonant coupling," J. Lightw. Technol. 12, 1728-1738 (1994).

1993 (1)

J. Winters, R. D. Gitlin, S. Kasturia, "Reducing the effects of transmission impairments in digital fiber optic systems," IEEE Commun. Mag. 31, 68-76 (1993).

1990 (1)

J. Winters, R. D. Gitlin, "Electrical signal processing techniques in long-haul fiber-optic systems," IEEE Trans. Commun. 38, 1439-1453 (1990).

1988 (1)

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, D. G. Daut, "Chromatic dispersion limitations in coherent lightwave transmission systems," J. Lightw. Technol. LT-6, 704-709 (1988).

1972 (1)

D. Chase, "A class of algorithms for decoding block codes with channel measurement information," IEEE Trans. Inf. Theory IT-18, 170-182 (1972).

IEEE Commun. Mag. (1)

J. Winters, R. D. Gitlin, S. Kasturia, "Reducing the effects of transmission impairments in digital fiber optic systems," IEEE Commun. Mag. 31, 68-76 (1993).

IEEE J. Sel. Top. Quantum Electron. (1)

J. Kahn, K. Ho, "Spectral efficiency limits and modulation/detection techniques for DWDM systems," IEEE J. Sel. Top. Quantum Electron. 10, 259-272 (2004).

IEEE Photon. Technol. Lett. (2)

J. Wang, J. M. Kahn, "Performance of electrical equalizers in optically amplified OOK and DPSK systems," IEEE Photon. Technol. Lett. 16, 1397-1399 (2004).

M. G. Taylor, "Coherent detection method using DSP for demodulation of signal and subsequent equalization of propagation impairments," IEEE Photon. Technol. Lett. 16, 674-676 (2004).

IEEE Trans. Commun. (3)

G. Katz, D. Sadot, J. Tabrikian, "Electrical dispersion compensation equalizers in optical direct- and coherent-detection systems," IEEE Trans. Commun. 54, 2045-2050 (2006).

B. Dong, X. Wang, "Sampling-based soft equalization for frequency-selective MIMO channels," IEEE Trans. Commun. 53, 278-288 (2005).

J. Winters, R. D. Gitlin, "Electrical signal processing techniques in long-haul fiber-optic systems," IEEE Trans. Commun. 38, 1439-1453 (1990).

IEEE Trans. Inf. Theory (1)

D. Chase, "A class of algorithms for decoding block codes with channel measurement information," IEEE Trans. Inf. Theory IT-18, 170-182 (1972).

IEEE Trans. Signal Process. (1)

P. Aggarwal, N. Prasad, X. Wang, "An enhanced deterministic sequential Monte Carlo method for near-optimal MIMO demodulation with QAM constellations," IEEE Trans. Signal Process. 55, 2395-2406 (2007).

J. Lightw. Technol. (10)

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, D. G. Daut, "Chromatic dispersion limitations in coherent lightwave transmission systems," J. Lightw. Technol. LT-6, 704-709 (1988).

J. Wang, J. Kahn, "Impact of chromatic and polarization-mode dispersion on DPSK systems using interferometric demodulation and direct detection," J. Lightw. Technol. 22, 362-371 (2004).

H. F. Haunstein, W. Sauer-Greff, A. Dittrich, K. Sticht, R. Urbansky, "Principles for electronic equalization of polarization-mode dispersion," J. Lightw. Technol. 22, 1169-1182 (2004).

T. Foggi, E. Forestieri, G. Golavolpe, G. Prati, "Maximum-likelihood sequence detection with closed-form metrics in OOK optical systems impaired by GVD and PMD," J. Lightw. Technol. 24, 3073-3084 (2006).

A. Galarossa, L. Palmieri, A. Pizzinat, "Optimized spinning design for low PMD fibers: An analytical approach," J. Lightw. Technol. 19, 1502-1512 (2001).

F. Ouellette, J. Cliche, S. Gagnon, "All-fiber devices for compensation based on chirped distributed resonant coupling," J. Lightw. Technol. 12, 1728-1738 (1994).

M. Secondini, "Optical equalization: System modeling and performance evaluation," J. Lightw. Technol. 24, 4013-4021 (2006).

O. Agazzi, M. Hueda, H. Carrer, D. Crivelli, "Maximum-likelihood sequence estimation in dispersive optical channels," J. Lightw. Technol. 23, 749-762 (2005).

M. Secondini, E. Forestieri, G. Prati, "Adaptive minimum MSE controlled PLC optical equalizer for chromatic dispersion compensation," J. Lightw. Technol. 21, 2322-2331 (2003).

D. S. Ly-Gagnon, S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation," J. Lightw. Technol. 24, 12-21 (2006).

Other (3)

D. W. Waters, J. R. Barry, "The Chase family of detection algorithms for multiple-input multiple-output channels," Proc. IEEE GLOBECOM (2004) pp. 2635-2639.

D. E. Crivelli, H. S. Carrer, M. R. Hueda, "Adaptive digital equalization in the presence of chromatic dispersion, PMD, and phase noise in coherent fiber optic systems," Proc. GLOBECOM (2004) pp. 2545-2551.

M. Seimetz, "Performance of coherent optical Square-16-QAM-systems based on IQ-transmitters and homodyne receivers with digital phase estimation," Proc. Nat. Fiber Opt. Eng. Conf. (2006).

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