Abstract

Nonlinear impairments in optical communication system have become a major concern of optical engineers. In this paper, we demonstrate that utilizing a nonlinear filter based Decision Feedback Equalizer (DFE) with error detection capability can deliver a better performance compared with the conventional linear filter based DFE. The proposed algorithms are tested in simulation using a coherent 100 Gb/sec 16-QAM optical communication system in a legacy optical network setting.

© 2014 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. Mikhailov, R. I. Killey, P. Bayvel, “Optical equalization of nonlinear signal distortion in 42.7-Gb/s RZ transmission,” IEEE Photon. Technol. Lett. 20(5), 381–383 (2008).
    [CrossRef]
  2. Y.-H. Hao, W.-W. Huang, W. Hu, P. Jiang, “Fiber nonlinearity mitigation in long-haul coherent optical OFDM,” in Proceedings of 2nd International Conference on Information Engineering and Computer Science (ICIECS) (Wuhan, China, 2010), pp. 25–26.
    [CrossRef]
  3. J. Leibrich, A. Ali, W. Rosenkranz, “Decision feedback compensation of transmitter / receiver nonlinearity for DD-OFDM,” in Proceedings of European Conference of Optical Communication (Geneva, Switzerland, 2011) pp.1–3.
    [CrossRef]
  4. C. Xia, W. Rosenkranz, “Nonlinear electrical equalization for different modulation formats with optical filtering,” J. Lightwave Technol. 25(4), 996–1001 (2007).
    [CrossRef]
  5. 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,” in Proceedings of European Conference of Optical Communication (Vienna, Austria2009) pp. 1–2.
  6. F. P. Guiomar, J. D. Reis, A. L. Teixeira, A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” Opt. Express 20(2), 1360–1369 (2012).
    [CrossRef] [PubMed]
  7. G. Shulkind, M. Nazarathy, “Nonlinear digital back propagation compensator for coherent optical OFDM based on factorizing the Volterra series transfer function,” Opt. Express 21(11), 13145–13161 (2013).
    [CrossRef] [PubMed]
  8. J. Pan, C.-H. Cheng, “Nonlinear electrical compensation for the coherent optical OFDM system,” J. Lightwave Technol. 29(2), 215–221 (2011).
    [CrossRef]
  9. P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
    [CrossRef]
  10. S. Otte, W. Rosenkranz, “A decision feedback equalizer for dispersion compensation in high speed optical transmission systems,” in Proceedings of International Conference on Transparent Optical Networks (Kielce, Poland, 1999), pp.19–22.
    [CrossRef]
  11. G. Katz, D. Sadot, “A nonlinear electrical equalizer with decision feedback for OOK optical communication systems,” IEEE Trans. Commun. 56(12), 2002–2006 (2008).
    [CrossRef]
  12. R. de Vries, A. P. Berkhoff, C. H. Slump, and O. E. Herrmann, “Digital compensation of nonlinear distortion in loudspeakers,” in Proceedings of 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing (Institute of Electrical and Electronics Engineers, Minneapolis, MN, USA, 1993) pp. 165–168.
    [CrossRef]
  13. V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
    [CrossRef]
  14. M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
    [CrossRef]
  15. X. Yu, W. Jin, M. Sui, Z. Lan, “Evaluation of forward error correction scheme for underwater wireless optical communication,” in Proceedings of third International Conference on Communications and Mobile Computing (Qingdao, China, 2011) pp. 527–530.
    [CrossRef]
  16. T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
    [CrossRef]
  17. V. J. Mathews, “Adaptive polynomial filters,” IEEE Signal Process. Mag. 8(3), 10–26 (1991).
    [CrossRef]
  18. A. Gutierrez and W. E. Ryan, “Performance of adaptive Volterra equalizers on nonlinear satellite channels,” in Proceedings of IEEE International Conference on Communications. (Institute of Electrical and Electronics Engineers, Seattle, WA, USA, 1995), pp. 488–492.
    [CrossRef]
  19. S. Haykin, Adaptive Filter Theory, (Prentice-Hall, 1996).
  20. A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
    [CrossRef]
  21. W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
    [CrossRef]
  22. S. Zhang, M.-F. Huang, F. Yaman, E. Mateo, D. Qian, Y. Zhang, L. Xu, Y. Shao, I. B. Djordjevic, T. Wang, Y. Inada, T. Inoue, T. Ogata, and Y. Aoki, “40×117.6 Gb/s PDM-16QAM OFDM transmission over 10,181 km with soft-decision LDPC coding and nonlinearity compensation,” in the Proceedings of Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (Los Angeles, CA, USA, 2012) pp.1–3.

2013

2012

F. P. Guiomar, J. D. Reis, A. L. Teixeira, A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” Opt. Express 20(2), 1360–1369 (2012).
[CrossRef] [PubMed]

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

2011

2008

V. Mikhailov, R. I. Killey, P. Bayvel, “Optical equalization of nonlinear signal distortion in 42.7-Gb/s RZ transmission,” IEEE Photon. Technol. Lett. 20(5), 381–383 (2008).
[CrossRef]

G. Katz, D. Sadot, “A nonlinear electrical equalizer with decision feedback for OOK optical communication systems,” IEEE Trans. Commun. 56(12), 2002–2006 (2008).
[CrossRef]

2007

2005

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

2004

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

2001

M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
[CrossRef]

1998

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

1991

V. J. Mathews, “Adaptive polynomial filters,” IEEE Signal Process. Mag. 8(3), 10–26 (1991).
[CrossRef]

Agarwal, A.

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Akita, M.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Ali, A.

J. Leibrich, A. Ali, W. Rosenkranz, “Decision feedback compensation of transmitter / receiver nonlinearity for DD-OFDM,” in Proceedings of European Conference of Optical Communication (Geneva, Switzerland, 2011) pp.1–3.
[CrossRef]

Allen, J. C.

M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
[CrossRef]

Bayvel, P.

V. Mikhailov, R. I. Killey, P. Bayvel, “Optical equalization of nonlinear signal distortion in 42.7-Gb/s RZ transmission,” IEEE Photon. Technol. Lett. 20(5), 381–383 (2008).
[CrossRef]

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Bera, R.

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Cheng, C.-H.

Cheung, J. Y.

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

Christensen, B.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Chwee, T. M.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Fujita, H.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Glick, M.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Guiomar, F. P.

Gupta, A. K.

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Gurung, H.

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Hao, Y.-H.

Y.-H. Hao, W.-W. Huang, W. Hu, P. Jiang, “Fiber nonlinearity mitigation in long-haul coherent optical OFDM,” in Proceedings of 2nd International Conference on Information Engineering and Computer Science (ICIECS) (Wuhan, China, 2010), pp. 25–26.
[CrossRef]

He, Z.-Y.

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

Hu, W.

Y.-H. Hao, W.-W. Huang, W. Hu, P. Jiang, “Fiber nonlinearity mitigation in long-haul coherent optical OFDM,” in Proceedings of 2nd International Conference on Information Engineering and Computer Science (ICIECS) (Wuhan, China, 2010), pp. 25–26.
[CrossRef]

Huang, W.-W.

Y.-H. Hao, W.-W. Huang, W. Hu, P. Jiang, “Fiber nonlinearity mitigation in long-haul coherent optical OFDM,” in Proceedings of 2nd International Conference on Information Engineering and Computer Science (ICIECS) (Wuhan, China, 2010), pp. 25–26.
[CrossRef]

Hull, S. S.

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

Jiang, P.

Y.-H. Hao, W.-W. Huang, W. Hu, P. Jiang, “Fiber nonlinearity mitigation in long-haul coherent optical OFDM,” in Proceedings of 2nd International Conference on Information Engineering and Computer Science (ICIECS) (Wuhan, China, 2010), pp. 25–26.
[CrossRef]

Jin, W.

X. Yu, W. Jin, M. Sui, Z. Lan, “Evaluation of forward error correction scheme for underwater wireless optical communication,” in Proceedings of third International Conference on Communications and Mobile Computing (Qingdao, China, 2011) pp. 527–530.
[CrossRef]

Katz, G.

G. Katz, D. Sadot, “A nonlinear electrical equalizer with decision feedback for OOK optical communication systems,” IEEE Trans. Commun. 56(12), 2002–2006 (2008).
[CrossRef]

Killey, R. I.

V. Mikhailov, R. I. Killey, P. Bayvel, “Optical equalization of nonlinear signal distortion in 42.7-Gb/s RZ transmission,” IEEE Photon. Technol. Lett. 20(5), 381–383 (2008).
[CrossRef]

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Kirkpatrick, P.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Kobayashi, T.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Krachkovsky, V. Y.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Kubo, K.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Kuno, K.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Lan, Z.

X. Yu, W. Jin, M. Sui, Z. Lan, “Evaluation of forward error correction scheme for underwater wireless optical communication,” in Proceedings of third International Conference on Communications and Mobile Computing (Qingdao, China, 2011) pp. 527–530.
[CrossRef]

Lee, Y. X.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Leibrich, J.

J. Leibrich, A. Ali, W. Rosenkranz, “Decision feedback compensation of transmitter / receiver nonlinearity for DD-OFDM,” in Proceedings of European Conference of Optical Communication (Geneva, Switzerland, 2011) pp.1–3.
[CrossRef]

Lin, M. Y.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Liu, B.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Lobel, M.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Mathew, G.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Mathews, V. J.

V. J. Mathews, “Adaptive polynomial filters,” IEEE Signal Process. Mag. 8(3), 10–26 (1991).
[CrossRef]

Mikhailov, V.

V. Mikhailov, R. I. Killey, P. Bayvel, “Optical equalization of nonlinear signal distortion in 42.7-Gb/s RZ transmission,” IEEE Photon. Technol. Lett. 20(5), 381–383 (2008).
[CrossRef]

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Miyata, Y.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Mizuochi, T.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Motoshima, K.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Nazarathy, M.

G. Shulkind, M. Nazarathy, “Nonlinear digital back propagation compensator for coherent optical OFDM based on factorizing the Volterra series transfer function,” Opt. Express 21(11), 13145–13161 (2013).
[CrossRef] [PubMed]

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,” in Proceedings of European Conference of Optical Communication (Vienna, Austria2009) pp. 1–2.

Noe, R.

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,” in Proceedings of European Conference of Optical Communication (Vienna, Austria2009) pp. 1–2.

North, R. C.

M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
[CrossRef]

Otte, S.

S. Otte, W. Rosenkranz, “A decision feedback equalizer for dispersion compensation in high speed optical transmission systems,” in Proceedings of International Conference on Transparent Optical Networks (Kielce, Poland, 1999), pp.19–22.
[CrossRef]

Ouchi, K.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Pan, J.

Pei, W. J.

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

Pinto, A. N.

Reis, J. D.

Reuter, M.

M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
[CrossRef]

Rosenkranz, W.

C. Xia, W. Rosenkranz, “Nonlinear electrical equalization for different modulation formats with optical filtering,” J. Lightwave Technol. 25(4), 996–1001 (2007).
[CrossRef]

S. Otte, W. Rosenkranz, “A decision feedback equalizer for dispersion compensation in high speed optical transmission systems,” in Proceedings of International Conference on Transparent Optical Networks (Kielce, Poland, 1999), pp.19–22.
[CrossRef]

J. Leibrich, A. Ali, W. Rosenkranz, “Decision feedback compensation of transmitter / receiver nonlinearity for DD-OFDM,” in Proceedings of European Conference of Optical Communication (Geneva, Switzerland, 2011) pp.1–3.
[CrossRef]

Sadot, D.

G. Katz, D. Sadot, “A nonlinear electrical equalizer with decision feedback for OOK optical communication systems,” IEEE Trans. Commun. 56(12), 2002–2006 (2008).
[CrossRef]

Savory, S.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Shang, S.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Shimizu, K.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Shpantzer, I.

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,” in Proceedings of European Conference of Optical Communication (Vienna, Austria2009) pp. 1–2.

Shulkind, G.

Singh, A. K.

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Song, A.

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

Sui, M.

X. Yu, W. Jin, M. Sui, Z. Lan, “Evaluation of forward error correction scheme for underwater wireless optical communication,” in Proceedings of third International Conference on Communications and Mobile Computing (Qingdao, China, 2011) pp. 527–530.
[CrossRef]

Sur, S. N.

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Tagami, H.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Teixeira, A. L.

Watts, P. M.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

Weidenfeld, R.

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,” in Proceedings of European Conference of Optical Communication (Vienna, Austria2009) pp. 1–2.

Wood, R. W.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

Xia, C.

Yang, L. X.

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

Yoshida, H.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

Yu, X.

X. Yu, W. Jin, M. Sui, Z. Lan, “Evaluation of forward error correction scheme for underwater wireless optical communication,” in Proceedings of third International Conference on Communications and Mobile Computing (Qingdao, China, 2011) pp. 527–530.
[CrossRef]

Zeidler, J. R.

M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

T. Mizuochi, Y. Miyata, T. Kobayashi, K. Ouchi, K. Kuno, K. Kubo, K. Shimizu, H. Tagami, H. Yoshida, H. Fujita, M. Akita, K. Motoshima, “Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems,” IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (2004).
[CrossRef]

IEEE Photon. Technol. Lett.

P. M. Watts, V. Mikhailov, S. Savory, P. Bayvel, M. Glick, M. Lobel, B. Christensen, P. Kirkpatrick, S. Shang, R. I. Killey, “Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers,” IEEE Photon. Technol. Lett. 17(10), 2206–2208 (2005).
[CrossRef]

V. Mikhailov, R. I. Killey, P. Bayvel, “Optical equalization of nonlinear signal distortion in 42.7-Gb/s RZ transmission,” IEEE Photon. Technol. Lett. 20(5), 381–383 (2008).
[CrossRef]

IEEE Signal Process. Mag.

V. J. Mathews, “Adaptive polynomial filters,” IEEE Signal Process. Mag. 8(3), 10–26 (1991).
[CrossRef]

IEEE Trans. Commun.

G. Katz, D. Sadot, “A nonlinear electrical equalizer with decision feedback for OOK optical communication systems,” IEEE Trans. Commun. 56(12), 2002–2006 (2008).
[CrossRef]

M. Reuter, J. C. Allen, J. R. Zeidler, R. C. North, “Mitigating error propagation effects in a decision feedback equalizer,” IEEE Trans. Commun. 49(11), 2028–2041 (2001).
[CrossRef]

IEEE Trans. Magn.

V. Y. Krachkovsky, Y. X. Lee, G. Mathew, B. Liu, M. Y. Lin, R. W. Wood, T. M. Chwee, “Error propagation evaluation for RLL-constrained DFE read channels,” IEEE Trans. Magn. 34(1), 147–152 (1998).
[CrossRef]

J. Lightwave Technol.

Opt. Express

Procedia Technology

A. Agarwal, S. N. Sur, A. K. Singh, H. Gurung, A. K. Gupta, R. Bera, “Performance analysis of linear and non-linear equalizer in Rician channel,” Procedia Technology 4, 687–691 (2012).
[CrossRef]

Other

W. J. Pei, Z.-Y. He, L. X. Yang, A. Song, S. S. Hull, J. Y. Cheung, “A generalized Volterra series method for reconstructing deterministic dynamics from noisy chaotic time series,” in Proceedings of Asia-Pacific Conference on Circuits and Systems (Singapore, 2002) pp.491–494.
[CrossRef]

S. Zhang, M.-F. Huang, F. Yaman, E. Mateo, D. Qian, Y. Zhang, L. Xu, Y. Shao, I. B. Djordjevic, T. Wang, Y. Inada, T. Inoue, T. Ogata, and Y. Aoki, “40×117.6 Gb/s PDM-16QAM OFDM transmission over 10,181 km with soft-decision LDPC coding and nonlinearity compensation,” in the Proceedings of Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (Los Angeles, CA, USA, 2012) pp.1–3.

X. Yu, W. Jin, M. Sui, Z. Lan, “Evaluation of forward error correction scheme for underwater wireless optical communication,” in Proceedings of third International Conference on Communications and Mobile Computing (Qingdao, China, 2011) pp. 527–530.
[CrossRef]

Y.-H. Hao, W.-W. Huang, W. Hu, P. Jiang, “Fiber nonlinearity mitigation in long-haul coherent optical OFDM,” in Proceedings of 2nd International Conference on Information Engineering and Computer Science (ICIECS) (Wuhan, China, 2010), pp. 25–26.
[CrossRef]

J. Leibrich, A. Ali, W. Rosenkranz, “Decision feedback compensation of transmitter / receiver nonlinearity for DD-OFDM,” in Proceedings of European Conference of Optical Communication (Geneva, Switzerland, 2011) pp.1–3.
[CrossRef]

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,” in Proceedings of European Conference of Optical Communication (Vienna, Austria2009) pp. 1–2.

R. de Vries, A. P. Berkhoff, C. H. Slump, and O. E. Herrmann, “Digital compensation of nonlinear distortion in loudspeakers,” in Proceedings of 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing (Institute of Electrical and Electronics Engineers, Minneapolis, MN, USA, 1993) pp. 165–168.
[CrossRef]

S. Otte, W. Rosenkranz, “A decision feedback equalizer for dispersion compensation in high speed optical transmission systems,” in Proceedings of International Conference on Transparent Optical Networks (Kielce, Poland, 1999), pp.19–22.
[CrossRef]

A. Gutierrez and W. E. Ryan, “Performance of adaptive Volterra equalizers on nonlinear satellite channels,” in Proceedings of IEEE International Conference on Communications. (Institute of Electrical and Electronics Engineers, Seattle, WA, USA, 1995), pp. 488–492.
[CrossRef]

S. Haykin, Adaptive Filter Theory, (Prentice-Hall, 1996).

Cited By

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

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1

DFE diagram.

Fig. 2
Fig. 2

Coherent communication system simulation diagram.

Fig. 3
Fig. 3

(a) Transmitted signal constellation (b) Uncompensated signal constellation.

Fig. 4
Fig. 4

(a) Constellations of signals equalized with DFEs without error detection (b) Constellations of signals equalized with DFEs using parity check.

Fig. 5
Fig. 5

BER vs. power of uncompensated signals and signals equalized with DFE schemes using parity check.

Fig. 6
Fig. 6

BER vs. optical signal power for DFEs with parity check and perfect error detection.

Tables (2)

Tables Icon

Table 1 SMF and DCF Parameters

Tables Icon

Table 2 Mean BERs for Four DEF Structures with Different Error Detection Capabilities

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

y( n )= h 0 + r=1 N k1=0 M kr=0 M h r ( k 1 ,, k r ).x( n k 1 )x(n k r )
y( n )= k 1 =0 M h 1 ( k 1 )x(n k 1 )+ k 1 =0 M k 2 =0 M k 3 =0 M h 3 ( k 1 , k 2 , k 3 )x( n k 1 )x( n k 2 ) x * ( n k 3 )
y( n )= k 1 =0 M h 1 ( k 1 )x(n k 1 )

Metrics