Abstract

Nonlinear distortion caused by fiber nonlinearity is a major performance-limiting factor in advanced optical communication systems. We proposed a nonlinear electrical equalization scheme based on the Wiener–Hammerstein model. Compared with other popular nonlinear compensation techniques such as the Volterra model, the Wiener–Hammerstein model approach has a simpler structure and requires less calculation. Simulation results are presented to demonstrate the capability of a Wiener–Hammerstein model based electrical equalizer used in a coherent optical orthogonal frequency division multiplexing system. It is shown that the Wiener–Hammerstein model based equalizer can significantly reduce nonlinear distortion and can deliver a performance comparable to the Volterra model based equalizer.

© 2011 IEEE

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  1. R. Weidenfeld, M. Nazarathy, R. Noe, I. Shpantzer, "Volterra nonlinear compensation of 112 Gb/s ultra-long-haul coherent optical OFDM based on frequency-shaped decision feedback," Proc. Eur. Conf. Opt. Commun. (2009) pp. 1-2.
  2. M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems (Wiley, 1980).
  3. K. V. Peddanarappagari, M. Brandt-Pearce, "Volterra series transfer function of single-mode fibers," J. Lightw. Technol. 15, 2232-2241 (1997).
  4. K. V. Peddanarappagari, M. Brandt-Pearce, "Study of fiber nonlinearities in communication system using a volterra series transfer function approach," Proc. 31th Annu. Conf. Inf. Sci. Syst. (1997) pp. 752-775.
  5. L. N. Binh, "Linear and nonlinear transfer functions of single mode fiber for optical transmission systems," J. Opt. Soc. Am. A 26, 1564-1575 (2009).
  6. J. D. Reis, L. N. Costa, A. L. Teixeira, "Nonlinear effects prediction in ultra-dense WDM systems using volterra series," Proc. Opt. Fiber Commun. Conf./Collocated Nat. Fiber Opt. Eng. Conf. (2010) pp. 1-3.
  7. B. Xu, M. Brandt-Pearce, "Modified volterra series transfer function method," IEEE Photon. Technol. Lett. 14, 47-49 (2002).
  8. K. V. Peddanarappagari, M. Brandt-Pearce, "Volterra series approach for optimizing fiber-optic communications system designs," J. Lightw. Technol. 16, 2046-2055 (1998).
  9. Y. Gao, F. Zhang, L. Dou, Zh. Y. Chen, A. Sh. Xu, "Intra-channel nonlinearities mitigation in pseudo-linear coherent QPSK transmission system via nonlinear electrical equalizer," Opt. Commun. 282, 2421-2425 (2009).
  10. Ch. M. Xia, W. Rosenkranz, "Nonlinear electrical equalization for different modulation formats with optical filtering," J. Lightw. Technol. 25, 996-1001 (2007).
  11. X. Zhu, S. Kumar, S. Raghavan, Y. Mauro, S. Lobanov, "Nonlinear electronic dispersion compensation techniques for fiber-optic communication systems," Proc. Opt. Fiber Commun. Conf./Collocated Nat. Fiber Opt. Eng. Conf. (2008) pp. 1-3.
  12. J. Pan, C.-H. Cheng, "Nonlinear electrical compensation for the coherent optical OFDM system," J. Lightw. Technol. 29, 215-221 (2011).
  13. V. Hegde, C. Radhakrishnan, D. Krusienski, W. K. Jenkins, "Series-cascade nonlinear adaptive filters," Proc. 45th Midwest Symp. Circuits Syst. (2002) pp. 219-222.
  14. P. Cramat, Y. Rolain, "Broad-band measurement and identification of a Wiener–Hammerstein model for an RF amplifier," Proc. 60th ARFTG Conf. Digest (2002) pp. 49-57.
  15. M. Sano, L. M. Sun, "Identification of Hammerstein-Wiener system with application to compensation for nonlinear distortion," Proc. 41st SICE Annu. Conf. (2002) pp. 1521-1526.
  16. S. Benedetto, E. Biglieri, V. Castellani, Digital Transmission Theory (Prentice-Hall, 1987).
  17. A. Gutierrez, W. E. Ryan, "Performance of adaptive volterra equalizers on nonlinear satellite channels," Proc. IEEE Int. Conf. Commun. (1995) pp. 488-492.
  18. P. P. Baveja, D. N. Maywar, G. P. Agrawal, "Optimization of all-optical 2R regenerators operating at 40 Gb/s: Role of dispersion," J. Lightw. Technol. 27, 3831-3836 (2009).
  19. L. Zhou, J. Ning, C. Chen, Q. Han, W. Zhang, J. Wang, "Analysis of a novel stimulated Brillouin scattering suppression mechanism through self phase modulation process in the high power short pulse fiber amplifier," J. Optoelectron. Biomed. Mater. 1, 157-164 (2009).

2011 (1)

J. Pan, C.-H. Cheng, "Nonlinear electrical compensation for the coherent optical OFDM system," J. Lightw. Technol. 29, 215-221 (2011).

2009 (4)

P. P. Baveja, D. N. Maywar, G. P. Agrawal, "Optimization of all-optical 2R regenerators operating at 40 Gb/s: Role of dispersion," J. Lightw. Technol. 27, 3831-3836 (2009).

L. Zhou, J. Ning, C. Chen, Q. Han, W. Zhang, J. Wang, "Analysis of a novel stimulated Brillouin scattering suppression mechanism through self phase modulation process in the high power short pulse fiber amplifier," J. Optoelectron. Biomed. Mater. 1, 157-164 (2009).

Y. Gao, F. Zhang, L. Dou, Zh. Y. Chen, A. Sh. Xu, "Intra-channel nonlinearities mitigation in pseudo-linear coherent QPSK transmission system via nonlinear electrical equalizer," Opt. Commun. 282, 2421-2425 (2009).

L. N. Binh, "Linear and nonlinear transfer functions of single mode fiber for optical transmission systems," J. Opt. Soc. Am. A 26, 1564-1575 (2009).

2007 (1)

Ch. M. Xia, W. Rosenkranz, "Nonlinear electrical equalization for different modulation formats with optical filtering," J. Lightw. Technol. 25, 996-1001 (2007).

2002 (1)

B. Xu, M. Brandt-Pearce, "Modified volterra series transfer function method," IEEE Photon. Technol. Lett. 14, 47-49 (2002).

1998 (1)

K. V. Peddanarappagari, M. Brandt-Pearce, "Volterra series approach for optimizing fiber-optic communications system designs," J. Lightw. Technol. 16, 2046-2055 (1998).

1997 (1)

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

IEEE Photon. Technol. Lett. (1)

B. Xu, M. Brandt-Pearce, "Modified volterra series transfer function method," IEEE Photon. Technol. Lett. 14, 47-49 (2002).

J. Lightw. Technol. (5)

K. V. Peddanarappagari, M. Brandt-Pearce, "Volterra series approach for optimizing fiber-optic communications system designs," J. Lightw. Technol. 16, 2046-2055 (1998).

Ch. M. Xia, W. Rosenkranz, "Nonlinear electrical equalization for different modulation formats with optical filtering," J. Lightw. Technol. 25, 996-1001 (2007).

J. Pan, C.-H. Cheng, "Nonlinear electrical compensation for the coherent optical OFDM system," J. Lightw. Technol. 29, 215-221 (2011).

P. P. Baveja, D. N. Maywar, G. P. Agrawal, "Optimization of all-optical 2R regenerators operating at 40 Gb/s: Role of dispersion," J. Lightw. Technol. 27, 3831-3836 (2009).

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

J. Opt. Soc. Am. A (1)

J. Optoelectron. Biomed. Mater. (1)

L. Zhou, J. Ning, C. Chen, Q. Han, W. Zhang, J. Wang, "Analysis of a novel stimulated Brillouin scattering suppression mechanism through self phase modulation process in the high power short pulse fiber amplifier," J. Optoelectron. Biomed. Mater. 1, 157-164 (2009).

Opt. Commun. (1)

Y. Gao, F. Zhang, L. Dou, Zh. Y. Chen, A. Sh. Xu, "Intra-channel nonlinearities mitigation in pseudo-linear coherent QPSK transmission system via nonlinear electrical equalizer," Opt. Commun. 282, 2421-2425 (2009).

Other (10)

X. Zhu, S. Kumar, S. Raghavan, Y. Mauro, S. Lobanov, "Nonlinear electronic dispersion compensation techniques for fiber-optic communication systems," Proc. Opt. Fiber Commun. Conf./Collocated Nat. Fiber Opt. Eng. Conf. (2008) pp. 1-3.

V. Hegde, C. Radhakrishnan, D. Krusienski, W. K. Jenkins, "Series-cascade nonlinear adaptive filters," Proc. 45th Midwest Symp. Circuits Syst. (2002) pp. 219-222.

P. Cramat, Y. Rolain, "Broad-band measurement and identification of a Wiener–Hammerstein model for an RF amplifier," Proc. 60th ARFTG Conf. Digest (2002) pp. 49-57.

M. Sano, L. M. Sun, "Identification of Hammerstein-Wiener system with application to compensation for nonlinear distortion," Proc. 41st SICE Annu. Conf. (2002) pp. 1521-1526.

S. Benedetto, E. Biglieri, V. Castellani, Digital Transmission Theory (Prentice-Hall, 1987).

A. Gutierrez, W. E. Ryan, "Performance of adaptive volterra equalizers on nonlinear satellite channels," Proc. IEEE Int. Conf. Commun. (1995) pp. 488-492.

R. Weidenfeld, M. Nazarathy, R. Noe, I. Shpantzer, "Volterra nonlinear compensation of 112 Gb/s ultra-long-haul coherent optical OFDM based on frequency-shaped decision feedback," Proc. Eur. Conf. Opt. Commun. (2009) pp. 1-2.

M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems (Wiley, 1980).

J. D. Reis, L. N. Costa, A. L. Teixeira, "Nonlinear effects prediction in ultra-dense WDM systems using volterra series," Proc. Opt. Fiber Commun. Conf./Collocated Nat. Fiber Opt. Eng. Conf. (2010) pp. 1-3.

K. V. Peddanarappagari, M. Brandt-Pearce, "Study of fiber nonlinearities in communication system using a volterra series transfer function approach," Proc. 31th Annu. Conf. Inf. Sci. Syst. (1997) pp. 752-775.

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