Decision-Feedback Detection Strategy for Nonlinear Frequency-Division Multiplexing

By exploiting a causality property of the nonlinear Fourier transform, a novel decisionfeedback detection strategy for nonlinear frequency-division multiplexing (NFDM) systems is introduced. The performance of the proposed strategy is investigated both by simulations and by theoretical bounds and approximations, showing that it achieves a considerable performance improvement compared to previously adopted techniques in terms of Q-factor. The obtained improvement demonstrates that, by tailoring the detection strategy to the peculiar properties of the nonlinear Fourier transform, it is possible to boost the performance of NFDM systems and overcome current limitations imposed by the use of more conventional detection techniques suitable for the linear regime. © 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement OCIS codes: (060.1660) Coherent communications; (060.2330) Fiber optics communications; (060.4370) Nonlinear optics, fibers. References and links 1. S. K. Turitsyn, J. E. Prilepsky, S. T. Le, S. Wahls, L. L. Frumin, M. Kamalian, and S. A. Derevyanko, “Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives,” Optica 4, 307–322 (2017). 2. S. T. Le, J. E. Prilepsky, and S. K. Turitsyn, “Nonlinear inverse synthesis for high spectral efficiency transmission in optical fibers,” Opt. Express 22, 26720–26741 (2014). 3. S. T. Le, I. D. Philips, J. E. Prilepsky, P. Harper, A. D. Ellis, and S. K. Turitsyn, “Demonstration of nonlinear inverse synthesis transmission over transoceanic distances,” J. Lightwave Technol. 34, 2459–2466 (2016). 4. I. Tavakkolnia and M. Safari, “Dispersion pre-compensation for NFT-based optical fiber communication systems,” in “Conference on Lasers and Electro-Optics, OSA Technical Digest,” (2016). 5. M. I. Yousefi and F. R. Kschischang, “Information transmission using the nonlinear Fourier transform, Parts I–III,” IEEE Trans. Inf. Theory 60, 4312–4369 (2014). 6. M. I. Yousefi and X. Yangzhang, “Linear and nonlinear frequency-division multiplexing,” European Conference on Optical Communication (ECOC 2016), Proceedings of (2016). 7. H. Bülow, “Experimental demonstration of optical signal detection using nonlinear Fourier transform,” Journal of Lightwave Technology 33, 1433–1439 (2015). 8. M. J. Ablowitz and H. Segur, Solitons and the inverse scattering transform, vol. 4 (SIAM, 1981). 9. S. Civelli, E. Forestieri, and M. Secondini, “Why noise and dispersion may seriously hamper nonlinear frequencydivision multiplexing,” IEEE Photonics Technology Letters 29, 1332–1335 (2017). 10. I. T. Lima, T. D. DeMenezes, V. Grigoryan, M. O’sullivan, and C. R. Menyuk, “Nonlinear compensation in optical communications systems with normal dispersion fibers using the nonlinear fourier transform,” Journal of Lightwave Technology (2017). 11. J. G. Proakis and M. Salehi, Digital Communications (5th ed.) (McGraw-Hill, 2008). 12. S. Civelli, L. Barletti, and M. Secondini, “Numerical methods for the inverse nonlinear Fourier transform,” in “Proc. Tyrrhenian Int. Workshop Digital Communications (TIWDC),” (Florence, Italy, 2015), pp. 13–16. 13. S. Civelli, E. Forestieri, and M. Secondini, “Impact of discretizations and boundary conditions in nonlinear frequency-domain multiplexing,” in “18th Italian National Conference on Photonic Technologies (Fotonica 2016),” (2016). 14. E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express 19, 12781–12788 (2011). 15. S. A. Derevyanko, J. E. Prilepsky, and S. K. Turitsyn, “Capacity estimates for optical transmission based on the nonlinear Fourier transform,” Nature Communications (2016). ar X iv :1 80 1. 05 33 8v 1 [ cs .I T ] 1 6 Ja n 20 18 16. R. A. Shafik, M. S. Rahman, and A. R. Islam, “On the extended relationships among evm, ber and snr as performance metrics,” in “Electrical and Computer Engineering, 2006. ICECE’06. International Conference on,” (IEEE, 2006), pp. 408–411.