Joint-Polarization Phase-Noise Estimation and Symbol Detection for Optical Coherent Receivers

The problem of optimal symbol detection in the presence of laser phase noise is studied, for uncoded polarization-multiplexed fiber-optic transmission. To this end, the maximum a posteriori (MAP) symbol detector is presented. Specifically, it is emphasized that obtaining phase-noise point estimates, and treating them as the true values of the phase noise, is in general suboptimal. Furthermore, a pilot-based algorithm that approximates the MAP symbol detector is developed, using approaches adopted from the wireless literature. The algorithm performs joint-polarization phase-noise estimation and symbol detection, for arbitrary modulation formats. Through Monte Carlo simulations, the algorithm is compared to existing solutions from the optical communications literature. It is demonstrated that joint-polarization processing can significantly improve upon the single-polarization case, with respect to linewidth tolerance. Finally, it is shown that with less than 3% pilot overhead the algorithm can be used with lasers having up to 6 times larger linewidths than the most well-performing blind algorithms can tolerate.

[1]  Dan Raphaeli,et al.  Message Passing Algorithms for Phase Noise Tracking Using Tikhonov Mixtures , 2013, IEEE Transactions on Communications.

[2]  Luca Barletta,et al.  Low-Complexity Tracking of Laser and Nonlinear Phase Noise in WDM Optical Fiber Systems , 2015, Journal of Lightwave Technology.

[3]  Oscar E. Agazzi,et al.  On the performance of joint iterative detection and decoding in coherent optical channels with laser frequency fluctuations , 2015 .

[4]  Hercules Avramopoulos,et al.  High performance carrier phase recovery for coherent optical QAM , 2015, 2015 Optical Fiber Communications Conference and Exhibition (OFC).

[5]  Giulio Colavolpe,et al.  Algorithms for Joint Phase Estimation and Decoding for MIMO Systems in the Presence of Phase Noise and Quasi-Static Fading Channels , 2013, IEEE Transactions on Signal Processing.

[6]  Marc Moeneclaey,et al.  Block-Processing Soft-Input Soft-Output Demodulator for Coded PSK Using DCT-Based Phase Noise Estimation , 2014, IEEE Transactions on Communications.

[7]  Gabriella Bosco,et al.  Dual Stage CPE for 64-QAM Optical Systems Based on a Modified QPSK-Partitioning Algorithm , 2014, IEEE Photonics Technology Letters.

[8]  Fangzheng Zhang,et al.  Pilot-symbols-aided cycle slip mitigation for DP-16QAM optical communication systems. , 2013, Optics express.

[9]  D. V. Plant,et al.  Experimental demonstration of pilot-aided polarization recovery, frequency offset and phase noise mitigation , 2013, 2013 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (OFC/NFOEC).

[10]  Benyuan Zhu,et al.  High Spectral Efficiency 400 Gb/s Transmission Using PDM Time-Domain Hybrid 32–64 QAM and Training-Assisted Carrier Recovery , 2013, Journal of Lightwave Technology.

[11]  Fangzheng Zhang,et al.  Improved Pilot-Aided Optical Carrier Phase Recovery for Coherent $M$-QAM , 2012, IEEE Photonics Technology Letters.

[12]  Kang Ping Zhong,et al.  Linewidth-Tolerant and Low-Complexity Two-Stage Carrier Phase Estimation for Dual-Polarization 16-QAM Coherent Optical Fiber Communications , 2012, Journal of Lightwave Technology.

[13]  M. Magarini,et al.  Pilot-Symbols-Aided Carrier-Phase Recovery for 100-G PM-QPSK Digital Coherent Receivers , 2012, IEEE Photonics Technology Letters.

[14]  Qunbi Zhuge,et al.  Feedforward carrier recovery via pilot-aided transmission for single-carrier systems with arbitrary M-QAM constellations. , 2011, Optics express.

[15]  David V. Plant,et al.  Joint mitigation of laser phase noise and fiber nonlinearity using pilot-aided transmission for single-carrier systems , 2011, 2011 37th European Conference and Exhibition on Optical Communication.

[16]  K. Kikuchi Performance analyses of polarization demultiplexing based on constant-modulus algorithm in digital coherent optical receivers. , 2011, Optics express.

[17]  P. Andrekson,et al.  Operational regime of symbol-by-symbol phase noise estimation for POLMUX 16-QAM , 2010, 36th European Conference and Exhibition on Optical Communication.

[18]  R R Müller,et al.  Phase-Offset Estimation for Joint-Polarization Phase-Recovery in DP-16-QAM Systems , 2010, IEEE Photonics Technology Letters.

[19]  Xiang Zhou,et al.  An Improved Feed-Forward Carrier Recovery Algorithm for Coherent Receivers With $M$ -QAM Modulation Format , 2010, IEEE Photonics Technology Letters.

[20]  S. Savory,et al.  Laser Linewidth Tolerance for 16-QAM Coherent Optical Systems Using QPSK Partitioning , 2010, IEEE Photonics Technology Letters.

[21]  Takeshi Hoshida,et al.  Improvements to Digital Carrier Phase Recovery Algorithm for High-Performance Optical Coherent Receivers , 2010, IEEE Journal of Selected Topics in Quantum Electronics.

[22]  T Pfau,et al.  Electronic Polarization Control Algorithms for Coherent Optical Transmission , 2010, IEEE Journal of Selected Topics in Quantum Electronics.

[23]  R. Noe,et al.  Hardware-Efficient Coherent Digital Receiver Concept With Feedforward Carrier Recovery for $M$ -QAM Constellations , 2009, Journal of Lightwave Technology.

[24]  Subbarayan Pasupathy,et al.  Adaptive iterative detectors for phase-uncertain channels via variational bounding , 2009, IEEE Transactions on Communications.

[25]  R. Noe,et al.  Multiplier-Free Real-Time Phase Tracking for Coherent QPSK Receivers , 2009, IEEE Photonics Technology Letters.

[26]  Marc Moeneclaey,et al.  Monte Carlo Solutions for Blind Phase Noise Estimation , 2009, EURASIP J. Wirel. Commun. Netw..

[27]  F. Hauske,et al.  Joint-polarization carrier phase estimation for XPM-limited coherent polarization-multiplexed QPSK transmission with OOK-neighbors , 2008, 2008 34th European Conference on Optical Communication.

[28]  Larry DeVito,et al.  Optical Communication , 2008, 2008 IEEE International Solid-State Circuits Conference - Digest of Technical Papers.

[29]  Alan Pak Tao Lau,et al.  Coherent detection in optical fiber systems. , 2008, Optics express.

[30]  J. Kahn,et al.  Feedforward Carrier Recovery for Coherent Optical Communications , 2007, Journal of Lightwave Technology.

[31]  Giuseppe Caire,et al.  Algorithms for iterative decoding in the presence of strong phase noise , 2005, IEEE Journal on Selected Areas in Communications.

[32]  Dongweon Yoon,et al.  On the general BER expression of one- and two-dimensional amplitude modulations , 2002, IEEE Trans. Commun..

[33]  Feng Rice,et al.  A New Algorithm for 16QAM Carrier Phase Estimation Using QPSK Partitioning , 2002, Digit. Signal Process..

[34]  Wayne E. Stark,et al.  Unified design of iterative receivers using factor graphs , 2001, IEEE Trans. Inf. Theory.

[35]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.

[36]  Pooi Yuen Kam,et al.  Optimum symbol-by-symbol detection of uncoded digital data over the Gaussian channel with unknown carrier phase , 1994, IEEE Trans. Commun..

[37]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[38]  Andrew J. Viterbi,et al.  Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission , 1983, IEEE Trans. Inf. Theory.

[39]  D. Godard,et al.  Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems , 1980, IEEE Trans. Commun..

[40]  A. G. Greenhill,et al.  Handbook of Mathematical Functions with Formulas, Graphs, , 1971 .

[41]  J. L. Harrison,et al.  The Government Printing Office , 1968, American Journal of Pharmaceutical Education.

[42]  David M. Miller,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .