Abstract

Optical fiber transmission is impacted by linear and nonlinear impairments. We study the use of digital backpropagation (BP) in conjunction with coherent detection to jointly mitigate dispersion and fiber nonlinearity. We propose a noniterative asymmetric split-step Fourier method (SSFM) for solving the inverse nonlinear Schrödinger equation (NLSE). Using simulation results for RZ-QPSK transmitted over terrestrial systems with inline amplification and dispersion compensation, we obtain heuristics for the step size and sampling rate requirements, as well as the optimal dispersion map.

© 2008 IEEE

PDF Article

References

  • View by:
  • |
  • |

  1. J. Winters, "Equalization in coherent lightwave systems using a fractionally spaced equalizer," J. Lightw. Technol. 8, 1487-1491 (1990).
  2. E. Ip, J. M. Kahn, "Digital equalization of chromatic dispersion and polarization mode dispersion," J. Lightw. Technol. 25, 2033-2043 (2007).
  3. S. J. Savory, G. Gavioli, R. I. Killey, P. Bayvel, "Electronic compensation of chromatic dispersion using a digital coherent receiver," Opt. Expr. 15, 2120-2126 (2007).
  4. M. G. Taylor, "Accurate digital phase estimation process for coherent detection using a parallel digital processor," Proc. European Conference on Optical Communication (ECOC 2005), GlasgowU.K. (2005) Paper Tu4.2.6.
  5. 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).
  6. K. Kikuchi, "Phase-diversity homodyne detection of multilevel optical modulation with digital carrier phase estimation," IEEE J. Sel. Topics Quantum Electron. 12, 563-570 (2006).
  7. E. Ip, J. M. Kahn, "Feedforward carrier recovery for coherent optical communications," J. Lightw. Technol. 25, 2675-2692 (2007).
  8. M. Shtaif, E. Eiselt, L. D. Garret, "Cross-phase modulation distortion measurements in multispan WDM systems," IEEE Photon. Technol. Lett. 12, 88-90 (2000).
  9. K. Roberts, C. Li, L. Strawczynski, M. O'Sullivan, I. Hardcastle, "Electronic precompensation of optical nonlinearity," IEEE Photon. Technol. Lett. 18, 403-405 (2006).
  10. A. Chowdhury, R.-J. Essiambre, "Optical phase conjugation and pseudolinear transmission," Opt. Lett. 29, 1105-1107 (2004).
  11. P. Minzioni, I. Cristani, V. Degiorgio, L. Marazzi, M. Martinelli, C. Langrock, M. M. Fejer, "Experimental demonstration of nonlinearity and dispersion compensation in an embedded link by optical phase conjugation," IEEE Photon. Technol. Lett. 18, 995-997 (2006).
  12. S. Kumar, L. Liu, "Reduction of nonlinear phase noise using optical phase conjugation in quasi-linear optical transmission," Opt. Expr. 15, 2166-2177 (2007).
  13. K.-P. Ho, J. M. Kahn, "Electronic compensation technique to mitigate nonlinear phase noise," J. Lightw. Technol. 22, 779-783 (2004).
  14. 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. Expr. 16, 881-888 (2008).
  15. W. Shieh, H. Bao, Y. Tang, "Coherent optical OFDM: Theory and design," Opt. Expr. 16, 841-859 (2008).
  16. K. Kikuchi, M. Fukase, S. Kim, "Electronic post-compensation for nonlinear phase noise in a 1000-km 20-Gb/s optical QPSK transmission system using the homodyne receiver with digital signal processing," Proc. Opt. Fiber Commun. Conf. (OFC' 07) Los AngelesCA (2007) Paper OTuA2.
  17. G. Charlet, N. Maaref, J. Renaudier, H. Mardoyan, P. Tran, S. Bigo, "Transmission of 40 Gb/s QPSK with coherent detection over ultra-long distance improved by nonlinearity mitigation," Proc. European Conference on Optical Communication (ECOC 2006) CannesFrance (2006) Paper Th4.3.4.
  18. A. P. T. Lau, J. M. Kahn, "Signal design and detection in presence of nonlinear phase noise," J. Lightw. Technol. 25, 3008-3016 (2007).
  19. E. Ip, A. P. T. Lau, D. J. Barros, J. M. Kahn, "Coherent detection in optical fiber systems," Opt. Expr. 16, 753-791 (2008).
  20. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).
  21. X. Liu, D. A. Fishman, "A fast and reliable algorithm for electronic preequalization of SPM and chromatic dispersion," Proc. Opt. Fiber Commun. Conf. (OFC' 06) Los AngelesCA (2006) Paper OThD4.
  22. O. Sinkin, R. Holzlöhner, J. Zweck, C. Menyuk, "Optimization of the split-step Fourier method in modeling optical-fiber communications systems," J. Lightw. Technol. 21, 61-68 (2003).

2008 (3)

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. Expr. 16, 881-888 (2008).

W. Shieh, H. Bao, Y. Tang, "Coherent optical OFDM: Theory and design," Opt. Expr. 16, 841-859 (2008).

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

2007 (5)

A. P. T. Lau, J. M. Kahn, "Signal design and detection in presence of nonlinear phase noise," J. Lightw. Technol. 25, 3008-3016 (2007).

S. Kumar, L. Liu, "Reduction of nonlinear phase noise using optical phase conjugation in quasi-linear optical transmission," Opt. Expr. 15, 2166-2177 (2007).

E. Ip, J. M. Kahn, "Digital equalization of chromatic dispersion and polarization mode dispersion," J. Lightw. Technol. 25, 2033-2043 (2007).

S. J. Savory, G. Gavioli, R. I. Killey, P. Bayvel, "Electronic compensation of chromatic dispersion using a digital coherent receiver," Opt. Expr. 15, 2120-2126 (2007).

E. Ip, J. M. Kahn, "Feedforward carrier recovery for coherent optical communications," J. Lightw. Technol. 25, 2675-2692 (2007).

2006 (4)

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

K. Kikuchi, "Phase-diversity homodyne detection of multilevel optical modulation with digital carrier phase estimation," IEEE J. Sel. Topics Quantum Electron. 12, 563-570 (2006).

P. Minzioni, I. Cristani, V. Degiorgio, L. Marazzi, M. Martinelli, C. Langrock, M. M. Fejer, "Experimental demonstration of nonlinearity and dispersion compensation in an embedded link by optical phase conjugation," IEEE Photon. Technol. Lett. 18, 995-997 (2006).

2004 (2)

K.-P. Ho, J. M. Kahn, "Electronic compensation technique to mitigate nonlinear phase noise," J. Lightw. Technol. 22, 779-783 (2004).

A. Chowdhury, R.-J. Essiambre, "Optical phase conjugation and pseudolinear transmission," Opt. Lett. 29, 1105-1107 (2004).

2003 (1)

O. Sinkin, R. Holzlöhner, J. Zweck, C. Menyuk, "Optimization of the split-step Fourier method in modeling optical-fiber communications systems," J. Lightw. Technol. 21, 61-68 (2003).

2000 (1)

M. Shtaif, E. Eiselt, L. D. Garret, "Cross-phase modulation distortion measurements in multispan WDM systems," IEEE Photon. Technol. Lett. 12, 88-90 (2000).

1990 (1)

J. Winters, "Equalization in coherent lightwave systems using a fractionally spaced equalizer," J. Lightw. Technol. 8, 1487-1491 (1990).

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

K. Kikuchi, "Phase-diversity homodyne detection of multilevel optical modulation with digital carrier phase estimation," IEEE J. Sel. Topics Quantum Electron. 12, 563-570 (2006).

IEEE Photon. Technol. Lett. (1)

M. Shtaif, E. Eiselt, L. D. Garret, "Cross-phase modulation distortion measurements in multispan WDM systems," IEEE Photon. Technol. Lett. 12, 88-90 (2000).

IEEE Photon. Technol. Lett. (2)

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

P. Minzioni, I. Cristani, V. Degiorgio, L. Marazzi, M. Martinelli, C. Langrock, M. M. Fejer, "Experimental demonstration of nonlinearity and dispersion compensation in an embedded link by optical phase conjugation," IEEE Photon. Technol. Lett. 18, 995-997 (2006).

J. Lightw. Technol. (3)

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).

O. Sinkin, R. Holzlöhner, J. Zweck, C. Menyuk, "Optimization of the split-step Fourier method in modeling optical-fiber communications systems," J. Lightw. Technol. 21, 61-68 (2003).

J. Winters, "Equalization in coherent lightwave systems using a fractionally spaced equalizer," J. Lightw. Technol. 8, 1487-1491 (1990).

J. Lightw. Technol. (4)

E. Ip, J. M. Kahn, "Digital equalization of chromatic dispersion and polarization mode dispersion," J. Lightw. Technol. 25, 2033-2043 (2007).

E. Ip, J. M. Kahn, "Feedforward carrier recovery for coherent optical communications," J. Lightw. Technol. 25, 2675-2692 (2007).

K.-P. Ho, J. M. Kahn, "Electronic compensation technique to mitigate nonlinear phase noise," J. Lightw. Technol. 22, 779-783 (2004).

A. P. T. Lau, J. M. Kahn, "Signal design and detection in presence of nonlinear phase noise," J. Lightw. Technol. 25, 3008-3016 (2007).

Opt. Expr. (1)

S. Kumar, L. Liu, "Reduction of nonlinear phase noise using optical phase conjugation in quasi-linear optical transmission," Opt. Expr. 15, 2166-2177 (2007).

Opt. Expr. (4)

E. Ip, A. P. T. Lau, D. J. Barros, J. M. Kahn, "Coherent detection in optical fiber systems," Opt. Expr. 16, 753-791 (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. Expr. 16, 881-888 (2008).

W. Shieh, H. Bao, Y. Tang, "Coherent optical OFDM: Theory and design," Opt. Expr. 16, 841-859 (2008).

S. J. Savory, G. Gavioli, R. I. Killey, P. Bayvel, "Electronic compensation of chromatic dispersion using a digital coherent receiver," Opt. Expr. 15, 2120-2126 (2007).

Opt. Lett. (1)

Other (5)

M. G. Taylor, "Accurate digital phase estimation process for coherent detection using a parallel digital processor," Proc. European Conference on Optical Communication (ECOC 2005), GlasgowU.K. (2005) Paper Tu4.2.6.

K. Kikuchi, M. Fukase, S. Kim, "Electronic post-compensation for nonlinear phase noise in a 1000-km 20-Gb/s optical QPSK transmission system using the homodyne receiver with digital signal processing," Proc. Opt. Fiber Commun. Conf. (OFC' 07) Los AngelesCA (2007) Paper OTuA2.

G. Charlet, N. Maaref, J. Renaudier, H. Mardoyan, P. Tran, S. Bigo, "Transmission of 40 Gb/s QPSK with coherent detection over ultra-long distance improved by nonlinearity mitigation," Proc. European Conference on Optical Communication (ECOC 2006) CannesFrance (2006) Paper Th4.3.4.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

X. Liu, D. A. Fishman, "A fast and reliable algorithm for electronic preequalization of SPM and chromatic dispersion," Proc. Opt. Fiber Commun. Conf. (OFC' 06) Los AngelesCA (2006) Paper OThD4.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.