Abstract

A novel, soft-decision-aided, maximum likelihood (SDA-ML) phase estimator is derived for carrier phase estimation in coherent optical communication. For estimating the carrier phase of the current symbol, SDA-ML uses both the feedback of earlier soft data decisions and the feedforward of later soft data decisions. The estimator is applicable to arbitrary 2-D modulations, where the symbols can have unequal energies and unequal a priori probabilities, and the constellation can be asymmetrical. An iterative SDA-ML algorithm and a simplified DA-SDA-ML algorithm with a reduced computational complexity are proposed. Both algorithms have no phase ambiguity. The data detector does not require to estimate the phase explicitly. Simulations show that SDA-ML and DA-SDA-ML outperform the $M$th power and DA-ML in the presence of strong linear laser phase noise.

© 2013 IEEE

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  1. T.-J. Xia, G. A. Wellbrock, Y.-K. Huang, E. Ip, M.-F. Huang, T. Wang, "10,000-km enhanced long-haul transmission of 1.15-tb/s superchannel using SSMF only," Proc. Opto-Electron. Commun. Conf. (2011) pp. 758-759.
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  4. D. S. Ly-Gagnon, S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation," J. Lightw. Technol. 24, 12-21 (2006).
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  7. S. Zhang, P. Y. Kam, J. Chen, C. Yu, "Decision-aided maximum likelihood detection in coherent optical phase-shift-keying system," Opt. Exp. 17, 703-715 (2008 ).
  8. H. Zhang, P. Y. Kam, C. Yu, "Performance analysis of coherent optical 8-star QAM systems using decision-aided maximum likelihood phase estimation," Opt. Exp. 20, 9302-9311 (2012).
  9. C. Yu, P. Y. Kam, S. Zhang, J. Chen, "Phase estimation in coherent optical fiber communication systems with advanced modulation formats," presented at the OFC/NFOEC Los AngelesCAUSA (2012).
  10. A. Meiyappan, P. Y. Kam, H. Kim, "A complex-weighted, decision-aided, maximum-likelihood carrier phase and frequency-offset estimation algorithm for coherent optical detection," Opt. Express 20, 20 102-20 114 (2012).
  11. G. Nicholson, "Probability of error for optical heterodyne DPSK system with quantum phase noise," Electron. Lett. 20, 1005-1007 (1984).
  12. A. Dempster, N. Laird, D. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc. Series B (Methodol.) 39, 1-38 (1977).
  13. C. Herzet, N. Hoels, V. Lottici, H. Wymeersch, M. Luise, M. Moeneclaey, L. Vandendorpe, "Code-aided turbo synchronization," Proc. IEEE 95, 1255-1271 (2007).

2012 (2)

H. Zhang, P. Y. Kam, C. Yu, "Performance analysis of coherent optical 8-star QAM systems using decision-aided maximum likelihood phase estimation," Opt. Exp. 20, 9302-9311 (2012).

A. Meiyappan, P. Y. Kam, H. Kim, "A complex-weighted, decision-aided, maximum-likelihood carrier phase and frequency-offset estimation algorithm for coherent optical detection," Opt. Express 20, 20 102-20 114 (2012).

2008 ()

S. Zhang, P. Y. Kam, J. Chen, C. Yu, "Decision-aided maximum likelihood detection in coherent optical phase-shift-keying system," Opt. Exp. 17, 703-715 (2008 ).

2007 (1)

C. Herzet, N. Hoels, V. Lottici, H. Wymeersch, M. Luise, M. Moeneclaey, L. Vandendorpe, "Code-aided turbo synchronization," Proc. IEEE 95, 1255-1271 (2007).

2006 (1)

D. S. Ly-Gagnon, S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation," J. Lightw. Technol. 24, 12-21 (2006).

2005 (1)

R. Noe, "Phase noise-tolerant synchronous QPSK/BPSK baseband-type intradyne receiver concept with feedfoward carrier recovery," J. Lightw. Technol. 23, 802-808 (2005).

1986 (1)

P. Y. Kam, "Maximum-likelihood carrier phase recovery for linear suppressed-carrier digital data modulations," IEEE Trans. Commun. COM-34, 522-527 (1986).

1984 (1)

G. Nicholson, "Probability of error for optical heterodyne DPSK system with quantum phase noise," Electron. Lett. 20, 1005-1007 (1984).

1983 ()

A. J. Viterbi, A. M. Viterbi, "Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission," IEEE Trans. Inf. Theory IT-29, 543-551 (1983 ).

1977 (1)

A. Dempster, N. Laird, D. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc. Series B (Methodol.) 39, 1-38 (1977).

Opt. Exp. (1)

H. Zhang, P. Y. Kam, C. Yu, "Performance analysis of coherent optical 8-star QAM systems using decision-aided maximum likelihood phase estimation," Opt. Exp. 20, 9302-9311 (2012).

Electron. Lett. (1)

G. Nicholson, "Probability of error for optical heterodyne DPSK system with quantum phase noise," Electron. Lett. 20, 1005-1007 (1984).

IEEE Trans. Commun. (1)

P. Y. Kam, "Maximum-likelihood carrier phase recovery for linear suppressed-carrier digital data modulations," IEEE Trans. Commun. COM-34, 522-527 (1986).

IEEE Trans. Inf. Theory (1)

A. J. Viterbi, A. M. Viterbi, "Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission," IEEE Trans. Inf. Theory IT-29, 543-551 (1983 ).

J. Lightw. Technol. (1)

D. S. Ly-Gagnon, S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation," J. Lightw. Technol. 24, 12-21 (2006).

J. Lightw. Technol. (1)

R. Noe, "Phase noise-tolerant synchronous QPSK/BPSK baseband-type intradyne receiver concept with feedfoward carrier recovery," J. Lightw. Technol. 23, 802-808 (2005).

J. Roy. Statist. Soc. Series B (Methodol.) (1)

A. Dempster, N. Laird, D. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc. Series B (Methodol.) 39, 1-38 (1977).

Opt. Exp. (1)

S. Zhang, P. Y. Kam, J. Chen, C. Yu, "Decision-aided maximum likelihood detection in coherent optical phase-shift-keying system," Opt. Exp. 17, 703-715 (2008 ).

Opt. Express (1)

A. Meiyappan, P. Y. Kam, H. Kim, "A complex-weighted, decision-aided, maximum-likelihood carrier phase and frequency-offset estimation algorithm for coherent optical detection," Opt. Express 20, 20 102-20 114 (2012).

Proc. IEEE (1)

C. Herzet, N. Hoels, V. Lottici, H. Wymeersch, M. Luise, M. Moeneclaey, L. Vandendorpe, "Code-aided turbo synchronization," Proc. IEEE 95, 1255-1271 (2007).

Other (3)

C. Yu, P. Y. Kam, S. Zhang, J. Chen, "Phase estimation in coherent optical fiber communication systems with advanced modulation formats," presented at the OFC/NFOEC Los AngelesCAUSA (2012).

T.-J. Xia, G. A. Wellbrock, Y.-K. Huang, E. Ip, M.-F. Huang, T. Wang, "10,000-km enhanced long-haul transmission of 1.15-tb/s superchannel using SSMF only," Proc. Opto-Electron. Commun. Conf. (2011) pp. 758-759.

K. P. Ho, Phase-Modulated Optical Communication Systems (Springer-Verlag , 2005).

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