Multiplier-Free Carrier Phase Estimation for Optical Coherent Systems

A multiplier-free carrier phase estimation (CPE) algorithm is investigated in this letter. The Viterbi and Viterbi (V&V) algorithm is widely used in CPE, because the V&V algorithm is less complex than many other feed-forward CPE algorithms, including the blind phase search algorithm. In the V&V algorithm, an M th power operation is used to remove the modulated data phase. However, one disadvantage of the $M$ th power operation is its large computational complexity. In this letter, we extend our prior simplified M th power method from frequency offset estimation to CPE and propose an improved V&V algorithm, adopting the absolute operation as an approximation and making the V&V algorithm a multiplier-free CPE algorithm. Using simulations, the improved V&V algorithm is compared with the traditional V&V algorithm in the 32-GBd quadrature phase-shift keying, 8PSK, star-8QAM, and square-16QAM systems for CPE. The results show that the improved V&V algorithm outperforms the traditional V&V algorithm. In addition, the complexity is reduced effectively and no multiplier is required.

[1]  Wei Li,et al.  A Simplified Implementation Method of $M$ th-Power for Frequency Offset Estimation , 2016, IEEE Photonics Technology Letters.

[2]  Neil Genzlinger.  A. and Q , 2006 .

[3]  W. Marsden.  I and J , 2012 .

[4]  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.

[5]  John G. Proakis,et al.  Digital Communications , 1983 .

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

[7]  Takeshi Hoshida,et al.  Multiplier-free Phase Recovery for Optical Coherent Receivers , 2008, OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference.

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

[9]  David Dahan,et al.  Multiplier-Free Phase Recovery With Polar-domain Multisymbol-Delay-Detector , 2013, Journal of Lightwave Technology.

[10]  F. Hauske,et al.  Multiplier-free carrier phase estimation for low complexity carrier frequency and phase recovery , 2012, OFC/NFOEC.

[11]  Markus Rupp,et al.  On efficient multiplier-free implementation of channel estimation and equalization , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[12]  T Pfau,et al.  Phase-Noise-Tolerant Two-Stage Carrier Recovery Concept for Higher Order QAM Formats , 2010, IEEE Journal of Selected Topics in Quantum Electronics.

[13]  Jianjun Yu,et al.  Performance comparison of spectrum-narrowing equalizations with maximum likelihood sequence estimation and soft-decision output. , 2014, Optics express.

[14]  M. Seimetz.  Laser Linewidth Limitations for Optical Systems with High-Order Modulation Employing Feed Forward Digital Carrier Phase Estimation , 2008, OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference.

[15]  Gabriella Bosco,et al.  Dual stage carrier phase estimation for 16-QAM systems based on a modified QPSK-partitioning algorithm , 2013, 2013 15th International Conference on Transparent Optical Networks (ICTON).

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

[17]  G. Bosco,et al.  Linewidth-tolerant feed-forward dual-stage CPE algorithm based on 64-QAM constellation partitioning , 2014, 2014 The European Conference on Optical Communication (ECOC).

[18]  Wei Li,et al.  Carrier Phase Estimation for 32-QAM Optical Systems Using Quasi-QPSK-Partitioning Algorithm , 2016, IEEE Photonics Technology Letters.

[19]  Chao Lu,et al.  Carrier phase estimation for DP-16QAM using QPSK partitioning and quasi-multiplier-free algorithms , 2014, OFC 2014.

[20]  K. Kikuchi,et al.  Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation , 2006, Journal of Lightwave Technology.

[21]  Yu-Ting Hsueh,et al.  System Performance Prediction With the Gaussian Noise Model in 100G PDM-QPSK Coherent Optical Networks , 2013, Journal of Lightwave Technology.