Abstract

In long-haul dense wavelength-division multiplexing (DWDM) systems with periodic dispersion compensation and amplification, system performance is adversely affected by severe physical impairments due to fiber losses, dispersion and nonlinearity. Fiber modeling is a prerequisite for the development of physical impairment mitigation techniques to improve system performance. The distance between two interacting symbols in time and wavelength, i.e., the range of influence (RoI) of each physical impairment, plays an important role in the development of these mitigation techniques. In this paper, we use the Volterra series transfer function (VSTF) method to define impairment characteristic coefficients that capture intersymbol interference (ISI), self phase modulation (SPM), intrachannel cross phase modulation (IXPM), intrachannel four wave mixing (IFWM), cross phase modulation (XPM) and four wave mixing (FWM), to characterize the impact of these impairments individually on the system output. We then investigate the impact of system parameters, namely, duty cycle, spectral efficiency, frequency chirp, and span length, on the RoI for long-haul DWDM systems.

© 2012 IEEE

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  1. G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, 2010).
  2. E. Basch, R. Egorov, S. Gringeri, S. Elby, "Architectural tradeoffs for reconfigurable dense wavelength-division multiplexing systems," IEEE J. Sel. Topics Quantum Electron. 12, 615-626 (2006).
  3. A. Gnauck, R. Tkach, A. Chraplyvy, T. Li, "High-capacity optical transmission systems," J. Lightw. Technol. 26, 1032-1045 (2008).
  4. M. Wu, W. Way, "Fiber nonlinearity limitations in ultra-dense WDM systems," J. Lightw. Technol. 22, 1483-1498 (2004).
  5. H. Song, M. Brandt-Pearce, "A 2-D discrete-time model of physical impairments in wavelength-division multiplexing systems," J. Lightw. Technol. 30, 713-726 (2012).
  6. H. Song, M. Brandt-Pearce, "Range of influence of physical impairments in wavelength-division multiplexed systems," Proc. IEEE Global Commun. Conf. (2011) pp. 1-6.
  7. T. Mizuochi, "Recent progress in forward error correction and its interplay with transmission impairments," IEEE J. Quantum Electron. 12, 544-554 (2006).
  8. N. Kashyap, P. Siegel, A. Vardy, "Coding for the optical channel: the ghost-pulse constraint," IEEE Trans. Inf. Theory 52, 64-77 (2006).
  9. H. G. Batshon, I. B. Djordjevic, B. V. Vasic, "An improved technique for suppression of intrachannel four-wave mixing in 40-Gb/s optical transmission systems," IEEE Photon. Technol. Lett. 19, 67-69 (2007).
  10. I. B. Djordjevic, B. Vasic, "Constrained coding techniques for the suppression of intrachannel nonlinear effects in high-speed optical transmission," J. Lightw. Technol. 24, 411 (2006).
  11. I. Papagiannakis, G. Bosco, D. Fonseca, D. Klonidis, P. Poggiolini, W. Rosenkranz, A. Teixeira, I. Tomkos, C. Xia, Towards Digital Optical Networks (Springer, 2009) pp. 23-47.
  12. H. Song, M. Brandt-Pearce, T. Xie, S. G. Wilson, "Combined constrained code and LDPC code for long-haul fiber-optic communication systems," Proc. IEEE Global Commun. Conf. (2012) pp. 1-6.
  13. H. Song, M. Brandt-Pearce, "Model-centric nonlinear equalizer for coherent long-haul fiber-optic communication systems," IEEE Int. Conf. Commun. (2013).
  14. K. Peddanarappagari, M. Brandt-Pearce, "Volterra series transfer function of single-mode fibers," J. Lightw. Technol. 15, 2232-2241 (1997).
  15. H. Song, M. Brandt-Pearce, "A discrete-time polynomial model of single channel long-haul fiber-optic communication systems," Proc. IEEE Int. Conf. Commun. (2011) pp. 1-6.
  16. B. Xu, M. Brandt-Pearce, "Comparison of FWM- and XPM-induced crosstalk using the Volterra series transfer function method," J. Lightw. Technol. 21, 40-53 (2003).
  17. Y. Cai, D. Foursa, J.-X. Cai, C. Davidson, O. Sinkin, A. Pilipetskii, M. Nissov, N. Bergano, "Experimental study on broadband nonlinear phase wandering in coherent detection long-haul transmissions," Proc. Opt. Fiber Commun. Conf. (2010) pp. 1-3.
  18. R.-J. Essiambre, G. Raybon, B. Mikkelsen, Optical Fiber Telecommunications IV-B: Systems and Impairments (Academic, 2002).

2012

H. Song, M. Brandt-Pearce, "A 2-D discrete-time model of physical impairments in wavelength-division multiplexing systems," J. Lightw. Technol. 30, 713-726 (2012).

2008

A. Gnauck, R. Tkach, A. Chraplyvy, T. Li, "High-capacity optical transmission systems," J. Lightw. Technol. 26, 1032-1045 (2008).

2007

H. G. Batshon, I. B. Djordjevic, B. V. Vasic, "An improved technique for suppression of intrachannel four-wave mixing in 40-Gb/s optical transmission systems," IEEE Photon. Technol. Lett. 19, 67-69 (2007).

2006

I. B. Djordjevic, B. Vasic, "Constrained coding techniques for the suppression of intrachannel nonlinear effects in high-speed optical transmission," J. Lightw. Technol. 24, 411 (2006).

E. Basch, R. Egorov, S. Gringeri, S. Elby, "Architectural tradeoffs for reconfigurable dense wavelength-division multiplexing systems," IEEE J. Sel. Topics Quantum Electron. 12, 615-626 (2006).

T. Mizuochi, "Recent progress in forward error correction and its interplay with transmission impairments," IEEE J. Quantum Electron. 12, 544-554 (2006).

N. Kashyap, P. Siegel, A. Vardy, "Coding for the optical channel: the ghost-pulse constraint," IEEE Trans. Inf. Theory 52, 64-77 (2006).

2004

M. Wu, W. Way, "Fiber nonlinearity limitations in ultra-dense WDM systems," J. Lightw. Technol. 22, 1483-1498 (2004).

2003

B. Xu, M. Brandt-Pearce, "Comparison of FWM- and XPM-induced crosstalk using the Volterra series transfer function method," J. Lightw. Technol. 21, 40-53 (2003).

1997

K. Peddanarappagari, M. Brandt-Pearce, "Volterra series transfer function of single-mode fibers," J. Lightw. Technol. 15, 2232-2241 (1997).

IEEE J. Sel. Topics Quantum Electron.

E. Basch, R. Egorov, S. Gringeri, S. Elby, "Architectural tradeoffs for reconfigurable dense wavelength-division multiplexing systems," IEEE J. Sel. Topics Quantum Electron. 12, 615-626 (2006).

IEEE J. Quantum Electron.

T. Mizuochi, "Recent progress in forward error correction and its interplay with transmission impairments," IEEE J. Quantum Electron. 12, 544-554 (2006).

IEEE Photon. Technol. Lett.

H. G. Batshon, I. B. Djordjevic, B. V. Vasic, "An improved technique for suppression of intrachannel four-wave mixing in 40-Gb/s optical transmission systems," IEEE Photon. Technol. Lett. 19, 67-69 (2007).

IEEE Trans. Inf. Theory

N. Kashyap, P. Siegel, A. Vardy, "Coding for the optical channel: the ghost-pulse constraint," IEEE Trans. Inf. Theory 52, 64-77 (2006).

J. Lightw. Technol.

K. Peddanarappagari, M. Brandt-Pearce, "Volterra series transfer function of single-mode fibers," J. Lightw. Technol. 15, 2232-2241 (1997).

B. Xu, M. Brandt-Pearce, "Comparison of FWM- and XPM-induced crosstalk using the Volterra series transfer function method," J. Lightw. Technol. 21, 40-53 (2003).

I. B. Djordjevic, B. Vasic, "Constrained coding techniques for the suppression of intrachannel nonlinear effects in high-speed optical transmission," J. Lightw. Technol. 24, 411 (2006).

A. Gnauck, R. Tkach, A. Chraplyvy, T. Li, "High-capacity optical transmission systems," J. Lightw. Technol. 26, 1032-1045 (2008).

M. Wu, W. Way, "Fiber nonlinearity limitations in ultra-dense WDM systems," J. Lightw. Technol. 22, 1483-1498 (2004).

H. Song, M. Brandt-Pearce, "A 2-D discrete-time model of physical impairments in wavelength-division multiplexing systems," J. Lightw. Technol. 30, 713-726 (2012).

Other

H. Song, M. Brandt-Pearce, "Range of influence of physical impairments in wavelength-division multiplexed systems," Proc. IEEE Global Commun. Conf. (2011) pp. 1-6.

I. Papagiannakis, G. Bosco, D. Fonseca, D. Klonidis, P. Poggiolini, W. Rosenkranz, A. Teixeira, I. Tomkos, C. Xia, Towards Digital Optical Networks (Springer, 2009) pp. 23-47.

H. Song, M. Brandt-Pearce, T. Xie, S. G. Wilson, "Combined constrained code and LDPC code for long-haul fiber-optic communication systems," Proc. IEEE Global Commun. Conf. (2012) pp. 1-6.

H. Song, M. Brandt-Pearce, "Model-centric nonlinear equalizer for coherent long-haul fiber-optic communication systems," IEEE Int. Conf. Commun. (2013).

Y. Cai, D. Foursa, J.-X. Cai, C. Davidson, O. Sinkin, A. Pilipetskii, M. Nissov, N. Bergano, "Experimental study on broadband nonlinear phase wandering in coherent detection long-haul transmissions," Proc. Opt. Fiber Commun. Conf. (2010) pp. 1-3.

R.-J. Essiambre, G. Raybon, B. Mikkelsen, Optical Fiber Telecommunications IV-B: Systems and Impairments (Academic, 2002).

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, 2010).

H. Song, M. Brandt-Pearce, "A discrete-time polynomial model of single channel long-haul fiber-optic communication systems," Proc. IEEE Int. Conf. Commun. (2011) pp. 1-6.

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