Skip to main content
Log in

Flexible decision-aided maximum likelihood phase estimation in coherent optical phase-shift-keying systems

  • Published:
Photonic Network Communications Aims and scope Submit manuscript

Abstract

Decision-aided maximum likelihood (DA-ML) phase estimation has been applied in coherent optical communication systems due to its high computational efficiency. However, conventional DA-ML scheme only assumes constant phase noise within each observation block, thus causing block length effect (BLE) which degrades system performance. In this paper, we take into account the time-varying laser phase noise and propose a flexible DA-ML phase estimation method for carrier phase recovery in coherent optical phase-shift-keying systems so as to eliminate BLE. Weighted coefficients based on ML criterion are introduced to strengthen the estimation accuracy. The statistical property of phase estimation error is derived, and the bit error rate (BER) performance is also evaluated. Numerical simulation results show that our flexible DA-ML scheme is very robust against time-varying phase noise. Compared with conventional DA-ML receiver, it can significantly reduce the phase estimation variance, improve the BER performance and increase the laser linewidth tolerance. By adopting the flexible DA-ML method with a relatively larger block length, BLE can be effectively eliminated. Thus, the BER performance can be significantly improved without carefully finding out the optimum block length or the optimum forgotten factor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Gnauck, A.H., Winzer, P.J.: Optical phase-shift-keyed transmission. IEEE/OSA J. Lightw. Technol. 23(1), 115–130 (2005)

    Article  Google Scholar 

  2. Li, G.: Recent advances in coherent optical communication. Adv. Opt. Photonics 1(2), 279–307 (2009)

    Article  Google Scholar 

  3. Ezra, I., Lau, A.P.T., Barros, D.J.F., et al.: Coherent detection in optical fiber systems. Opt. Express. 16(2), 753–791 (2008)

    Article  Google Scholar 

  4. Kahn, J.M., Ho, K.: Spectral efficiency limits and modulation/detection techniques for DWDM systems. IEEE J. Sel. Top. Quantum Electron. 10(2), 259–272 (2004)

    Article  Google Scholar 

  5. Taylor, M.G.: Phase estimation methods for optical coherent detection using digital signal processing. IEEE/OSA J. Lightw. Technol 27(7), 901–914 (2009)

    Article  Google Scholar 

  6. Noe, R.: PLL-free synchronous QPSK polarization multiplex/diversity receiver concept with digital I&Q baseband processing. IEEE Photon. Technol. Lett. 17(4), 887–889 (2005)

    Article  MathSciNet  Google Scholar 

  7. Viterbi, A.J., Viterbi, A.N.: Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission. IEEE Trans. Inf. Theory 29(4), 543–551 (1983)

    Article  MATH  Google Scholar 

  8. Zhang, S., Kam, P.Y., Chen, J., et al.: Decision-aided maximum likelihood detection in coherent optical phase-shift-keying system. Opt. Express. 17(2), 703–715 (2008)

    Article  Google Scholar 

  9. Zhang, S., Kam, P.Y., Yu, C., et al.: Decision-aided carrier phase estimation for coherent optical communications. IEEE/OSA J. Lightw. Technol. 28(11), 1597–1607 (2010)

    Article  Google Scholar 

  10. Ly-Gagnon, D.S., Tsukamoto, S., Katoh, K., et al.: Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation. IEEE/OSA J. Lightw. Technol. 24(1), 12–21 (2006)

    Article  Google Scholar 

  11. Huang, D., Cheng, T., Yu, C.: Decision-aided carrier phase estimation with selective averaging for low-cost optical coherent communication. In: Proceedings of Information, Communications and Signal Processing (ICICS) 9th International Conference on, pp. 1–3 (2013)

  12. Wu, M., Kam, P.Y.: Soft-decision-aided, maximum-likelihood carrier phase estimation for coherent optical QAM. IEEE/OSA J. Lightw. Technol. 31(22), 3443–3452 (2013)

    Article  Google Scholar 

  13. Zhang, S., Kam, P.Y., Yu, C., et al.: Laser linewidth tolerance of decision-aided maximum likelihood phase estimation in coherent optical M-ary PSK and QAM systems. IEEE Photon. Technol. Lett. 21(15), 1075–1077 (2009)

    Article  Google Scholar 

  14. Zhang, S., Xu, L., Kam, P. Y., et al.: Study on the performance of decision-aided maximum likelihood phase estimation with a forgetting factor. In: Optical Fiber Communication Conference and Exposition (OFC/NFOEC), 2011 and the National Fiber Optic Engineers Conference, pp. 1–3 (2011)

  15. Munier, F., Alpman, E., Eriksson, T., et al.: Estimation of phase noise for QPSK modulation over AWGN channels. In: Proceedings Gigahertz Symposium, Sweden (2003)

  16. Gilad, G., Li, G.: BER estimation of QPSK homodyne detection with carrier phase estimation using digital signal processing. Opt. Express. 14(18), 8043–8053 (2006)

    Article  Google Scholar 

  17. Kay, S.M.: Fundamentals of Statistical Signal Processing: Detection Theory. Printice Hall, New Jersey (1998)

    Google Scholar 

  18. Monteiro, R.D.C., Adler, I.: Interior path following primal-dual algorithms. Part II: convex quadratic programming. Math. Prog. 44(1–3), 43–66 (1989)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 61271239), the Science and Technology Support Plan of Jiangsu Province (No. BE2014855), and the Ordinary University Graduate Student Scientific Research Innovation Project of Jiangsu Province (No. KYLX15_0826).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian Chen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

You, X., Chen, J., Wang, P. et al. Flexible decision-aided maximum likelihood phase estimation in coherent optical phase-shift-keying systems. Photon Netw Commun 32, 204–212 (2016). https://doi.org/10.1007/s11107-016-0615-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11107-016-0615-6

Keywords

Navigation