Abstract

Intrachannel nonlinearity is considered a major distortion in high-capacity transmission systems particular for the case without inline optical chromatic dispersion compensation. In this paper, a low-complexity intrachannel nonlinear compensator operating at the symbol rate is proposed based on the nonlinear perturbation predistortion for the dual-polarization quadrature phase-shift keying (DP-QPSK) systems. Compared with the widely studied backpropagation algorithm, the proposed algorithm achieves comparable performance with significantly reduced complexity and halved sampling speed in digital signal processing and digital-to-analog converters. The proposed algorithm is demonstrated in a 43 Gb/s DP-QPSK transmission experiment over 1500 km. In addition to the experimental demonstration, numerical simulation verifies that the proposed algorithm is quite robust by tolerating significant uncertainties of link parameters and span-by-span inhomogeneity in the links.

© 2011 IEEE

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  1. E. Ip, A. P. T. Lau, D. J. F. Barros, J. M. Kahn, "Coherent detection in optical fiber systems," Opt. Exp. 16, 753-791 (2008).
  2. A. Bononi, P. Serena, N. Rossi, "Nonlinear limits in single- and dual-polarization transmission," IEEE Photon. Soc. Summer Top. Meeting Playa del CarmenMexico (2010) Paper TuA3.3.
  3. Z. Tao, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "A simplified model for nonlinear cross-phase modulation in hybrid optical coherent system," Opt. Exp. 17, 13860-13868 (2009).
  4. Z. Tao, W. Yan, L. Liu, L. Li, S. Oda, T. Hoshida, J. C. Rasmussen, "Simple fiber model for determination of XPM effects," J. Lightw. Technol. 29, 974-986 (2011).
  5. L. Li, Z. Tao, L. Liu, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "XPM tolerant adaptive carrier phase recovery for coherent receiver based on phase noise statistics monitoring," Eur. Conf. Opt. Commun. ViennaAustria (2009) Paper P3.16.
  6. L. Li, Z. Tao, L. Liu, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "Nonlinear polarization crosstalk canceller for dual-polarization digital coherent receivers," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. San DiegoCA (2010) Paper OWE3.
  7. W. Yan, Z. Tao, L. Li, S. Oda, T. Hoshida, J. C. Rasmussen, "Multi-stage carrier phase recovery and nonlinear polarization crosstalk canceller for XPM mitigation," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. Los AngelesCA (2011) Paper OWW5.
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  10. X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, G. Li, "Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing," Opt. Exp. 16, 880-888 (2008).
  11. C. Xie, R. Essiambre, "Electronic nonlinearity compensation in 112-Gb/s PDM-QPSK optical coherent transmission systems," Eur. Conf. Opt. Commun. TorinoItaly (2010) Paper Mo.1.C.1.
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  13. L. B. Du, A. J. Lowery, "Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems," Opt. Exp. 18, 17075-17088 (2010).
  14. L. Li, Z. Tao, L. Dou, W. Yan, S. Oda, T. Tanimura, T. Hoshida, J. C. Rasmussen, "Implementation efficient nonlinear equalizer based on correlated digital backpropagation,," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. Los AngelesCA (2011) Paper OWW3.
  15. Y. Gao, F. Zhang, J. Li, L. Liu, Z. Chen, L. Zhu, L. Li, A. Xu, "Experimental demonstration of nonlinear electrical equalizer to mitigate intra-channel nonlinearities in coherent QPSK systems," Eur. Conf. Opt. Commun. ViennaAustria (2009) Paper 9.4.7.
  16. L. Dou, Z. Tao, L. Liu, T. Hoshida, J. C. Rasmussen, "Electronic pre-distortion operating at 1 sample/symbol with accurate bias control for CD compensation," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. San DiegoCA (2010) Paper OThT4.
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  22. C. R. Menyuk, B. S. Marks, "Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems," J. Lightw. Technol. 24, 2806-2826 (2006).
  23. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, 1972).
  24. S. Kumar, J. C. Mauro, S. Raghavan, D. Q. Chowdhury, "Intrachannel nonlinear penalties in dispersion-managed transmission systems," IEEE J. Sel. Topics Quantum Electron. 8, 626-631 (2002).

2011 (1)

Z. Tao, W. Yan, L. Liu, L. Li, S. Oda, T. Hoshida, J. C. Rasmussen, "Simple fiber model for determination of XPM effects," J. Lightw. Technol. 29, 974-986 (2011).

2010 (1)

L. B. Du, A. J. Lowery, "Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems," Opt. Exp. 18, 17075-17088 (2010).

2009 (1)

Z. Tao, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "A simplified model for nonlinear cross-phase modulation in hybrid optical coherent system," Opt. Exp. 17, 13860-13868 (2009).

2008 (4)

E. Ip, A. P. T. Lau, D. J. F. Barros, J. M. Kahn, "Coherent detection in optical fiber systems," Opt. Exp. 16, 753-791 (2008).

E. Ip, J. M. Kahn, "Compensation of dispersion and nonlinear impairments using digital backpropagation," J. Lightw. Technol. 26, 3416-3425 (2008).

K. Kikuchi, "Electronic post-compensation for nonlinear phase fluctuations in a 1000-km 20-Gbit/s optical quadrature phase-shift keying transmission system using the digital coherent receiver," Opt. Exp. 16, 889-896 (2008).

X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, G. Li, "Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing," Opt. Exp. 16, 880-888 (2008).

2006 (3)

C. Weber, J. K. Fischer, C. A. Bunge, K. Petermann, "Electronic precompensation of intrachannel nonlinearities at 40 Gb/s," IEEE Photon. Technol. Lett. 18, 1759-1761 (2006).

K. Roberts, C. Li, L. Strawczynski, M. O'Sullivan, I. Hardcastle, "Electronic precompensation of optical nonlinearity," IEEE Photon. Technol. Lett. 18, 403-405 (2006).

C. R. Menyuk, B. S. Marks, "Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems," J. Lightw. Technol. 24, 2806-2826 (2006).

2002 (1)

S. Kumar, J. C. Mauro, S. Raghavan, D. Q. Chowdhury, "Intrachannel nonlinear penalties in dispersion-managed transmission systems," IEEE J. Sel. Topics Quantum Electron. 8, 626-631 (2002).

2000 (1)

A. Meccozi, C. B. Clausen, M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 392-394 (2000).

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

S. Kumar, J. C. Mauro, S. Raghavan, D. Q. Chowdhury, "Intrachannel nonlinear penalties in dispersion-managed transmission systems," IEEE J. Sel. Topics Quantum Electron. 8, 626-631 (2002).

IEEE Photon. Technol. Lett. (3)

A. Meccozi, C. B. Clausen, M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 392-394 (2000).

C. Weber, J. K. Fischer, C. A. Bunge, K. Petermann, "Electronic precompensation of intrachannel nonlinearities at 40 Gb/s," IEEE Photon. Technol. Lett. 18, 1759-1761 (2006).

K. Roberts, C. Li, L. Strawczynski, M. O'Sullivan, I. Hardcastle, "Electronic precompensation of optical nonlinearity," IEEE Photon. Technol. Lett. 18, 403-405 (2006).

J. Lightw. Technol. (3)

Z. Tao, W. Yan, L. Liu, L. Li, S. Oda, T. Hoshida, J. C. Rasmussen, "Simple fiber model for determination of XPM effects," J. Lightw. Technol. 29, 974-986 (2011).

E. Ip, J. M. Kahn, "Compensation of dispersion and nonlinear impairments using digital backpropagation," J. Lightw. Technol. 26, 3416-3425 (2008).

C. R. Menyuk, B. S. Marks, "Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems," J. Lightw. Technol. 24, 2806-2826 (2006).

Opt. Exp. (5)

E. Ip, A. P. T. Lau, D. J. F. Barros, J. M. Kahn, "Coherent detection in optical fiber systems," Opt. Exp. 16, 753-791 (2008).

Z. Tao, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "A simplified model for nonlinear cross-phase modulation in hybrid optical coherent system," Opt. Exp. 17, 13860-13868 (2009).

K. Kikuchi, "Electronic post-compensation for nonlinear phase fluctuations in a 1000-km 20-Gbit/s optical quadrature phase-shift keying transmission system using the digital coherent receiver," Opt. Exp. 16, 889-896 (2008).

X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, G. Li, "Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing," Opt. Exp. 16, 880-888 (2008).

L. B. Du, A. J. Lowery, "Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems," Opt. Exp. 18, 17075-17088 (2010).

Other (12)

L. Li, Z. Tao, L. Dou, W. Yan, S. Oda, T. Tanimura, T. Hoshida, J. C. Rasmussen, "Implementation efficient nonlinear equalizer based on correlated digital backpropagation,," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. Los AngelesCA (2011) Paper OWW3.

Y. Gao, F. Zhang, J. Li, L. Liu, Z. Chen, L. Zhu, L. Li, A. Xu, "Experimental demonstration of nonlinear electrical equalizer to mitigate intra-channel nonlinearities in coherent QPSK systems," Eur. Conf. Opt. Commun. ViennaAustria (2009) Paper 9.4.7.

L. Dou, Z. Tao, L. Liu, T. Hoshida, J. C. Rasmussen, "Electronic pre-distortion operating at 1 sample/symbol with accurate bias control for CD compensation," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. San DiegoCA (2010) Paper OThT4.

P. J. Winzer, R. J. Essiambre, "Electronic pre-distortion for advanced modulation formats," Eur. Conf. Opt. Commun. GlasgowScotland (2005) Paper Tu4.2.2.

L. Dou, Z. Tao, L. Li, W. Yan, T. Tanimura, T. Hoshida, J. C. Rasmussen, "A low complexity pre-distortion method for intra-channel nonlinearity," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. Los AngelesCA (2011) Paper OThF5.

C. Xie, R. Essiambre, "Electronic nonlinearity compensation in 112-Gb/s PDM-QPSK optical coherent transmission systems," Eur. Conf. Opt. Commun. TorinoItaly (2010) Paper Mo.1.C.1.

S. Oda, T. Tanimura, T. Hoshida, C. Ohshima, H. Nakashima, Z. Tao, J. C. Rasmussen, "112 Gb/s DP-QPSK transmission using a novel nonlinear compensator in digital coherent receiver," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. San DiegoCA (2009) Paper OThR6.

L. Li, Z. Tao, L. Liu, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "XPM tolerant adaptive carrier phase recovery for coherent receiver based on phase noise statistics monitoring," Eur. Conf. Opt. Commun. ViennaAustria (2009) Paper P3.16.

L. Li, Z. Tao, L. Liu, W. Yan, S. Oda, T. Hoshida, J. C. Rasmussen, "Nonlinear polarization crosstalk canceller for dual-polarization digital coherent receivers," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. San DiegoCA (2010) Paper OWE3.

W. Yan, Z. Tao, L. Li, S. Oda, T. Hoshida, J. C. Rasmussen, "Multi-stage carrier phase recovery and nonlinear polarization crosstalk canceller for XPM mitigation," Opt. Fiber Commun. Conf./Collocated Natl. Fiber Opt. Eng. Conf. Los AngelesCA (2011) Paper OWW5.

A. Bononi, P. Serena, N. Rossi, "Nonlinear limits in single- and dual-polarization transmission," IEEE Photon. Soc. Summer Top. Meeting Playa del CarmenMexico (2010) Paper TuA3.3.

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, 1972).

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