Abstract

The Volterra series transfer function (VSTF), in which the input–output relationship of a nonlinear system is represented by a series of nonlinear kernel functions, is an elegant tool to model nonlinear systems. The inverse of a nonlinear system can be constructed by analyzing VSTF. We propose a new electronic nonlinearity compensation scheme based on inverse VSTF. We show 1 dB improvement in Q-factor with a 256 Gb/s polarization-division-multiplexed 16-level quadratic amplitude modulation format, and 50% reduction in complexity by lowering the processing rate.

© 2011 IEEE

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  1. E. Yamazaki, "Mitigation of nonlinearities in optical transmission systems," presented at the Opt. Fiber. Commun. Conf. Los AngelesCA (2011) OThF1.
  2. E. Ip, J. M. Kahn, "Compensation of dispersion and nonlinear impairments using digital back propagation," J. Lightw. Technol. 26, 3416-3425 (2008).
  3. Y. Gao, "Experimental demonstration of nonlinear electrical equalizer to mitigate intra-channel nonlinearities in coherent QPSK systems," Proc. 35th Eur. Conf. Opt. Commun. (2009) pp. 1-2.
  4. Y. Gao, "Intra-channel nonlinearities mitigation in pseudo-linear coherent QPSK transmission systems via nonlinear electrical equalizer," Opt. Commun. 282, 2421-2425 (2009).
  5. F. Zhang, "Experimental demonstration of intra-channel nonlinearity mitigation in coherent QPSK systems with nonlinear electrical equaliser," Electron. Lett. 46, 353-355 (2010).
  6. Z. Pan, "Volterra filtering for nonlinearity impairment mitigation in DP-16QAM and DP-QPSK fiber optic communication systems," Proc. Opt. Fiber. Commun. Conf. (2011) pp. 1-3.
  7. M. Nazarathy, "Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links," Opt. Exp. 16, 15777-15810 (2008).
  8. R. Weidenfeld, "Volterra nonlinear compensation of 100 G coherent OFDM with baud-rate ADC, tolerable complexity and low intra-channel FWM/XPM error propagation," Proc. Opt. Fiber. Commun. Conf. (2010) pp. 1-3.
  9. J. Reis, "Unveiling nonlinear effects in dense coherent optical WDM systems with Volterra series," Opt. Exp. 18, 8660-8670 (2010).
  10. N. Stojanovic, "MLSE-based nonlinearity mitigation for WDM 112 Gbit/s PDM-QPSK transmission with digital coherent receiver," Proc. Opt. Commun. Conf. (2011) pp. 1-3.
  11. K. V. Peddanarappagari, M. Brandt-Pearce, "Volterra series transfer function of single-mode fibers," J. Lightw. Technol. 15, 2232-2241 (1997).
  12. M. Schetzen, "Theory of pth-order inverse of nonlinear systems," IEEE Trans. Circuits Syst. cas-23, 285-291 (1976).
  13. C. R. Menyuk, "Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems," J. Lightw. Technol. 24, 2806-2826 (2006).
  14. Z. Tao, "Simple fiber model for determination of XPM effects," J. Lightw. Technol 29, 974-986 (2011).
  15. A. Vannucci, "The RP method: A new tool for the iterative solution of the nonlinear Schrodinger equation," J. Lightw. Technol. 20, 1102-1112 (2002).
  16. J. K. Fischer, "Equivalent single-span model for dispersion-managed fiber-optic transmission systems," J. Lightw. Technol. 27, 3425-3432 (2009).
  17. E. Ip, J. M. Kahn, "Digital equalization of chromatic dispersion and polarization mode dispersion," J. Lightw. Technol. 25, 2033-2043 (2007).
  18. D. Chang, "FPGA verification of single QC-LDPC code for 100 Gb/s optical systems without error floor down to BER of 10–15," Proc. Opt. Fiber Commun. Conf. (2011) pp. 1-3.
  19. T. Pfau, "Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for M-QAM constellations," J. Lightw. Technol. 27, 989-999 (2009).
  20. E. Ip, "Nonlinear compensation using frequency-shaped multi-subband backpropagation," presented at the Opt. Fiber. Commun. Conf. Los AngelesCA (2011) OThF4.
  21. "VPI systems," Photonic Modules: Reference Manual HolmdelNJ (2010).

2011 (1)

Z. Tao, "Simple fiber model for determination of XPM effects," J. Lightw. Technol 29, 974-986 (2011).

2010 (2)

J. Reis, "Unveiling nonlinear effects in dense coherent optical WDM systems with Volterra series," Opt. Exp. 18, 8660-8670 (2010).

F. Zhang, "Experimental demonstration of intra-channel nonlinearity mitigation in coherent QPSK systems with nonlinear electrical equaliser," Electron. Lett. 46, 353-355 (2010).

2009 (3)

Y. Gao, "Intra-channel nonlinearities mitigation in pseudo-linear coherent QPSK transmission systems via nonlinear electrical equalizer," Opt. Commun. 282, 2421-2425 (2009).

J. K. Fischer, "Equivalent single-span model for dispersion-managed fiber-optic transmission systems," J. Lightw. Technol. 27, 3425-3432 (2009).

T. Pfau, "Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for M-QAM constellations," J. Lightw. Technol. 27, 989-999 (2009).

2008 (2)

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

M. Nazarathy, "Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links," Opt. Exp. 16, 15777-15810 (2008).

2007 (1)

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

2006 (1)

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

2002 (1)

A. Vannucci, "The RP method: A new tool for the iterative solution of the nonlinear Schrodinger equation," J. Lightw. Technol. 20, 1102-1112 (2002).

1997 (1)

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

1976 (1)

M. Schetzen, "Theory of pth-order inverse of nonlinear systems," IEEE Trans. Circuits Syst. cas-23, 285-291 (1976).

Electron. Lett. (1)

F. Zhang, "Experimental demonstration of intra-channel nonlinearity mitigation in coherent QPSK systems with nonlinear electrical equaliser," Electron. Lett. 46, 353-355 (2010).

IEEE Trans. Circuits Syst. (1)

M. Schetzen, "Theory of pth-order inverse of nonlinear systems," IEEE Trans. Circuits Syst. cas-23, 285-291 (1976).

J. Lightw. Technol (1)

Z. Tao, "Simple fiber model for determination of XPM effects," J. Lightw. Technol 29, 974-986 (2011).

J. Lightw. Technol. (7)

A. Vannucci, "The RP method: A new tool for the iterative solution of the nonlinear Schrodinger equation," J. Lightw. Technol. 20, 1102-1112 (2002).

J. K. Fischer, "Equivalent single-span model for dispersion-managed fiber-optic transmission systems," J. Lightw. Technol. 27, 3425-3432 (2009).

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

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

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

T. Pfau, "Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for M-QAM constellations," J. Lightw. Technol. 27, 989-999 (2009).

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

Opt. Commun. (1)

Y. Gao, "Intra-channel nonlinearities mitigation in pseudo-linear coherent QPSK transmission systems via nonlinear electrical equalizer," Opt. Commun. 282, 2421-2425 (2009).

Opt. Exp. (2)

M. Nazarathy, "Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links," Opt. Exp. 16, 15777-15810 (2008).

J. Reis, "Unveiling nonlinear effects in dense coherent optical WDM systems with Volterra series," Opt. Exp. 18, 8660-8670 (2010).

Other (8)

N. Stojanovic, "MLSE-based nonlinearity mitigation for WDM 112 Gbit/s PDM-QPSK transmission with digital coherent receiver," Proc. Opt. Commun. Conf. (2011) pp. 1-3.

D. Chang, "FPGA verification of single QC-LDPC code for 100 Gb/s optical systems without error floor down to BER of 10–15," Proc. Opt. Fiber Commun. Conf. (2011) pp. 1-3.

R. Weidenfeld, "Volterra nonlinear compensation of 100 G coherent OFDM with baud-rate ADC, tolerable complexity and low intra-channel FWM/XPM error propagation," Proc. Opt. Fiber. Commun. Conf. (2010) pp. 1-3.

Z. Pan, "Volterra filtering for nonlinearity impairment mitigation in DP-16QAM and DP-QPSK fiber optic communication systems," Proc. Opt. Fiber. Commun. Conf. (2011) pp. 1-3.

E. Yamazaki, "Mitigation of nonlinearities in optical transmission systems," presented at the Opt. Fiber. Commun. Conf. Los AngelesCA (2011) OThF1.

Y. Gao, "Experimental demonstration of nonlinear electrical equalizer to mitigate intra-channel nonlinearities in coherent QPSK systems," Proc. 35th Eur. Conf. Opt. Commun. (2009) pp. 1-2.

E. Ip, "Nonlinear compensation using frequency-shaped multi-subband backpropagation," presented at the Opt. Fiber. Commun. Conf. Los AngelesCA (2011) OThF4.

"VPI systems," Photonic Modules: Reference Manual HolmdelNJ (2010).

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