This paper investigates the impact of transceiver noise on the performance of digital backpropagation (DBP). A generalized expression to estimate the signal-to-noise ratio (SNR) obtained using DBP in the presence of transceiver noise is described. This new expression correctly accounts for the nonlinear beating between the transceiver noise and the signal in the optical fiber transmission link. The transceiver noise-signal nonlinear beating has been identified as the main reason for the discrepancy between predicted and practical performance of DBP; which has not been previously suggested. This nonlinear beating has been included in the GN model, allowing DBP gains in practical systems to be predicted analytically. Experiments and split-step simulations with and without polarization-mode dispersion (PMD) in the transmission link have been performed. The results show that the impact of transceiver noise greatly outweighs that of PMD, and the analytical expressions are confirmed by the numerical simulations. © 2016 Optical Society of America OCIS codes: (060.1660) Coherent communications; (060.2330) Fiber optics communications. References and links 1. R. Maher, A. Alvarado, D. Lavery, and P. Bayvel, “Increasing the information rates of optical communications via coded modulation: a study of transceiver performance," Sci. Rep. 6, 21278 (2016). 2. Xi Chen, S. Chandrasekhar, S. Randel, W. Gu, and P. Winzer “Experimental Quantification of Implementation Penalties from Limited ADC Resolution for Nyquist Shaped Higher-Order QAM,” in Proc. of Optical Fiber Communication Conference (OFC), W.4.A.3 (2016). 3. E. Ip, “Nonlinear compensation using backpropagation for polarization-multiplexed transmission,” J. Lightw. Technol. 28(6), 939–951 (2010). 4. A. D. Ellis, M. E. McCarthy, M. A. Z. Al-Khateeb, and S. Sygletos, “Capacity limits of systems employing multiple optical phase conjugates,” Opt. Express 20(16), 20381–20393 (2015). 5. G. Gao, X. Chen, and W. Shieh, “Influence of PMD on fiber nonlinearity compensation using digital back propagation,” Opt. Express 20(13), 14406–14418 (2012). 6. G. Liga, C. B. Czegledi, T. Xu, E. Agrell, R. I. Killey, and P. Bayvel, “Ultra-wideband nonlinearity compensation performance in the presence of PMD,” in Proc. of European Conference on Optical Communication (ECOC), 794–796 (2016). 7. R.-J. Essiambre and P. J. Winzer, “Fibre nonlinearities in electronically pre-distorted transmission,” in Proc. of European Conference on Optical Communication (ECOC), Tu.3.2.2 (2005). 8. Z. Tao, L. Dou, W. Yan, L. Li, T. Hoshida, and J. C. Rasmussen, “Multiplier-free intrachannel nonlinearity compensating algorithm operating at symbol rate,” J. Lightw. Technol. 29(17), 2570–2576 (2011). 9. A. Ghazisaeidi and R.-J. Essiambre, “Calculation of coefficients of perturbative nonlinear pre-compensation for Nyquist pulses,” in Proc. of European Conference on Optical Communication (ECOC), We.1.3.3 (2014). 10. M. Secondini, D. Marsella, and E. Forestieri, “Enhanced split-step fourier method for digital backpropagation,” in Proc. of European Conference on Optical Communication (ECOC), We.3.3.5 (2014). 11. X. Liang and S. Kumar, “Multi-stage perturbation theory for compensating intra-channel nonlinear impairments in fiber-optic links,” Opt. Express 22(24), 29733–29745 (2014). 12. R. Dar and P. J. Winzer, “On the limits of digital back-propagation in fully loaded WDM systems,” Photon. Technol. Lett., 28(11), 1253–1256 (2016). 13. T. Tanimura, M. Nölle, J. K. Fischer, and C. Schubert, “Analytical results on back propagation nonlinear compensation with coherent detection,” Opt. Express 20(27), 28779–28785 (2012). 14. X. Liang and S. Kumar, “Multi-stage perturbation theory for compensating intra-channel nonlinear impairments in fiber-optic links,” Opt. Express 22(24), 29733–29745 (2014). 15. R. Maher, T. Xu, L. Galdino, M. Sato, A. Alvarado, K. Shi, S. J. Savory, B. C. Thomsen, R. I. Killey, and P. Bayvel, “Spectrally shaped DP-16QAM super-channel transmission with multi-channel digital back-propagation,” Scientific Reports 5, 8214 (2015). 16. E. Temprana, E. Myslivets, L. Liu, V. Ataie, A. Wiberg, B. P. P. Kuo, N. Alic, and S. Radic, “Two-fold transmission reach enhancement enabled by transmitter-side digital backpropagation and optical frequency comb-derived information carriers,” Opt. Express 23(16), 20774–2783 (2015). 17. C. Lin, S. Chandrasekhar and P. J. Winzer, “Experimental study of the limits of digital nonlinearity compensation in DWDM systems,” in Proc. of Optical Fiber Communication Conference (OFC), Th4D.4, (2016). 18. E. Temprana, E. Myslivets, V. Ataie, B. P. -P. Kuo, N. Alic, V. Vusirikala, V. Dangui and S. Radic, “Demonstration of coherent transmission reach tripling by frequency-referenced nonlinearity pre-compensation in EDFA-only SMF link,” in Proc. of European Conference on Optical Communication (ECOC), p376, (2016). 19. D. Lavery, D. Ives, G. Liga, A. Alvarado, S. J. Savory, and P. Bayvel, “The benefit of split nonlinearity compensation for single channel optical fiber communications,” Photon. Technol. Lett. 28(17), 1803–1806 (2016). 20. A. Ghazisadeidi, I. Ruiz, L. Schmalen, P. Tran, C. Simonneau, E. Awwad, B. Uscumlic, P. Brindel, and G. Charlet, “Submarine transmission systems using digital nonlinear compensation and adaptive rate forward error correction,” J. Lightw. Technol. 34(8), 1886–1895 (2016). 21. P. Poggiolini, G. Bosco, A. Carena, V. Curri, Y. Jiang, and F. Forghieri, “The GN-model of fiber non-linear propagation and its applications,” J. Lightw. Technol. 32(4), 694–721 (2014). 22. P. Poggiolini, G. Bosco, A. Carena, V. Curri, Y. Jiang, and F. Forghieri, “A simple and effective closed-form GN model correction formula accounting for signal non-Gaussian distribution,” J. Lightw. Technol. 33(2), 459–473 (2015). 23. A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, “The impact of phase conjugation on the nonlinear-Shannon limit: the difference between optical and electrical phase conjugation,” in Proc. of IEEE Summer Topicals Meeting Series, 209–210 (2015). 24. X. Liu, A. R. Chraplyvy, P. J. Winzer, R. W. Tkach, and S. Chandrasekhar, “Phased-conjugated twin waves for communication beyond the Kerr nonlinearity limit,” Nature Photonic, 7(7), 560–568 (2013). 25. T. Xu, G. Liga, D. Lavery, B. C. Thomsen, S. J. Savory, R. I. Killey and P. Bayvel, “Equalization enhanced phase noise in Nyquist-spaced superchannel transmission systems using multichannel digital back-propagation,” Scientific Reports, 5, 13990 (2015). 26. D. Marcuse, C. R. Menyuk, and P. K. A. Wai, “Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence,” J. Lightw. Technol. 15(9), 1735–1746 (1997). 27. S. Chandrasekhar, B. Li, J. Cho, X. Chen, E. C. Burrows, G. Raybon, and P. J. Winzer, “High-spectral-efficiency transmission on PDM 256-QAM with parallel probabilistic shaping at record rate-reach trade-offs,” in Proc. of European Conference on Optical Communication (ECOC), postdeadline paper Th.3.C.1, (2016).
[1]
Seb J. Savory,et al.
Spectrally Shaped DP-16QAM Super-Channel Transmission with Multi-Channel Digital Back-Propagation
,
2015,
Scientific Reports.
[2]
Satoshi Yoshima,et al.
Experimental study of the limits of digital nonlinearity compensation in DWDM systems
,
2015,
2015 Optical Fiber Communications Conference and Exhibition (OFC).
[3]
E. Ip,et al.
Nonlinear Compensation Using Backpropagation for Polarization-Multiplexed Transmission
,
2010,
Journal of Lightwave Technology.
[4]
P. Winzer,et al.
On the Limits of Digital Back-Propagation in Fully Loaded WDM Systems
,
2016,
IEEE Photonics Technology Letters.
[5]
P. J. Winzer,et al.
Fibre nonlinearities in electronically pre-distorted transmission
,
2005
.
[6]
D. Marcuse,et al.
Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence
,
1997
.
[7]
Seb J. Savory,et al.
Equalization enhanced phase noise in Nyquist-spaced superchannel transmission systems using multi-channel digital back-propagation
,
2015,
Scientific Reports.
[8]
Amirhossein Ghazisaeidi,et al.
Submarine Transmission Systems Using Digital Nonlinear Compensation and Adaptive Rate Forward Error Correction
,
2016,
Journal of Lightwave Technology.
[9]
A. Ellis,et al.
Capacity limits of systems employing multiple optical phase conjugators.
,
2015,
Optics express.
[10]
S. T. Le,et al.
The impact of phase conjugation on the nonlinear-Shannon limit: The difference between optical and electrical phase conjugation
,
2015,
2015 IEEE Summer Topicals Meeting Series (SUM).
[11]
Xiaojun Liang,et al.
Multi-stage perturbation theory for compensating intra-channel nonlinear impairments in fiber-optic links.
,
2014,
Optics express.
[12]
S. Radic,et al.
Two-fold transmission reach enhancement enabled by transmitter-side digital backpropagation and optical frequency comb-derived information carriers.
,
2015,
Optics express.
[13]
Xiang Liu,et al.
Phase-conjugated twin waves for communication beyond the Kerr nonlinearity limit
,
2013,
Nature Photonics.
[14]
David J. Ives,et al.
The Benefit of Split Nonlinearity Compensation for Single-Channel Optical Fiber Communications
,
2015,
IEEE Photonics Technology Letters.
[15]
Cristian B. Czegledi,et al.
Ultra-wideband nonlinearity compensation performance in the presence of PMD
,
2016
.
[16]
Xi Chen,et al.
Influence of PMD on fiber nonlinearity compensation using digital back propagation.
,
2012,
Optics express.
[17]
P. Poggiolini,et al.
The GN-Model of Fiber Non-Linear Propagation and its Applications
,
2014,
Journal of Lightwave Technology.
[18]
P. Poggiolini,et al.
A Simple and Effective Closed-Form GN Model Correction Formula Accounting for Signal Non-Gaussian Distribution
,
2014,
Journal of Lightwave Technology.
[19]
Amirhossein Ghazisaeidi,et al.
Calculation of coefficients of perturbative nonlinear pre-compensation for Nyquist pulses
,
2014,
2014 The European Conference on Optical Communication (ECOC).
[20]
Polina Bayvel,et al.
Increasing the information rates of optical communications via coded modulation: a study of transceiver performance
,
2016,
Scientific reports.
[21]
Sethumadhavan Chandrasekhar,et al.
Experimental quantification of implementation penalties from limited ADC resolution for Nyquist shaped higher-order QAM
,
2016,
2016 Optical Fiber Communications Conference and Exhibition (OFC).
[22]
Zhenning Tao,et al.
Multiplier-Free Intrachannel Nonlinearity Compensating Algorithm Operating at Symbol Rate
,
2011,
Journal of Lightwave Technology.