OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 14 — Jul. 2, 2012
  • pp: 15769–15780

High-order statistical equalizer for nonlinearity compensation in dispersion-managed coherent optical communications

Toshiaki Koike-Akino, Chunjie Duan, Kieran Parsons, Keisuke Kojima, Tsuyoshi Yoshida, Takashi Sugihara, and Takashi Mizuochi  »View Author Affiliations

Optics Express, Vol. 20, Issue 14, pp. 15769-15780 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (1290 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Fiber nonlinearity has become a major limiting factor to realize ultra-high-speed optical communications. We propose a fractionally-spaced equalizer which exploits a trained high-order statistics to deal with data-pattern dependent nonlinear impairments in fiber-optic communications. The computer simulation reveals that the proposed 3-tap equalizer improves Q-factor by more than 2 dB for long-haul transmissions of 5,230 km distance and 40 Gbps data rate. We also demonstrate that the joint use of a digital backpropagation (DBP) and the proposed equalizer offers an additional 1–2 dB performance improvement due to the channel shortening gain. A performance in high-speed transmissions of 100 Gbps and beyond is evaluated as well.

© 2012 OSA

OCIS Codes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: April 12, 2012
Revised Manuscript: June 6, 2012
Manuscript Accepted: June 7, 2012
Published: June 27, 2012

Toshiaki Koike-Akino, Chunjie Duan, Kieran Parsons, Keisuke Kojima, Tsuyoshi Yoshida, Takashi Sugihara, and Takashi Mizuochi, "High-order statistical equalizer for nonlinearity compensation in dispersion-managed coherent optical communications," Opt. Express 20, 15769-15780 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).
  2. A. D. Ellis, J. Zhao, and D. Cotter, “Approaching the non-linear Shannon limit,” J. Lightwave Technol.28, 423–433 (2010). [CrossRef]
  3. X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, and G. Li, “Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing,” Opt. Express16, 880–888 (2008). [CrossRef] [PubMed]
  4. E. Ip and J. M. Kahn, “Compensation of dispersion and nonlinear impairments using digital backpropagation,” J. Lightwave Technol.26, 3416–3425 (2008). [CrossRef]
  5. E. Ip, N. Bai, and T. Wang, “Complexity versus performance tradeoff in fiber nonlinearity compensation using frequency-shaped, multi-subband backpropagation,” in Proceedings of OFC’11, OThF4 (2011).
  6. T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011). [PubMed]
  7. W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011). [PubMed]
  8. F. P. Guiomar, J. D. Reis, A. Teixeira, and A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” in Proceedings of ECOC’11, Tu.6.B.1 (2011). [PubMed]
  9. N. Alić, G. C. Papen, R. E. Saperstein, L. B. Milstein, and Y. Fainman, “Signal statistics and maximum likelihood sequence estimation in intensity modulated fiber optic links containing a single optical preamplifier,” Opt. Express13, 4568–4579 (2005). [CrossRef]
  10. Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).
  11. T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).
  12. J. B. Anderson and S. Mohan, “Sequential coding algorithms: a survey and cost analysis,” IEEE Trans. Commun.32, 169–176 (1984). [CrossRef]
  13. A. Azzalini and A. Capitanio, “Statistical applications of the multivariate skew normal distribution,” J. R. Stat. Soc.61, 579–602 (1999). [CrossRef]
  14. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, 1996).
  15. C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).
  16. I. B. Djordjevic, L. L. Minkov, and H. G. Batshon, “Mitigation of linear and nonlinear impairments in high-speed optical networks by using LDPC-coded turbo equalization,” IEEE J. Sel. Areas Commun.26, 73–83 (2008). [CrossRef]
  17. H. G. Batshon, I. B. Djordjevic, L. Xu, and T. Wang, “Iterative polar quantization based modulation to achieve channel capacity in ultra-high-speed optical communication systems,” IEEE Photon. J.2, 593–599 (2010). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited