2000 character limit reached
Multi-dimensional Energy Limitation in Sphere Shaping for Nonlinear Interference Noise Mitigation (2311.17726v1)
Published 29 Nov 2023 in cs.IT, eess.SP, and math.IT
Abstract: We propose Four-Dimensional (4D) energy limit enumerative sphere shaping (ESS) of $M$-QAM signaling to minimize rate loss and improve the transmission performance over non-linear WDM optical-fiber systems. Simulation results show that the proposed scheme outperforms the conventional ESS by $0.19$~bit/4D-symbol in achievable information rate over a $205$-km single-span link and a WDM transmission of five polarization-division-multiplexed channels with $400$-Gbit/s net rate per channel. We also study the achieved performance over several shaping block lengths and show that the achieved gains do not scale well over multi-span systems.
- Y. C. Gültekin, W. J. van Houtum, A. G. Koppelaar, F. M. Willems, J. Wim et al., “Enumerative sphere shaping for wireless communications with short packets,” IEEE Transactions on Wireless Communications, vol. 19, no. 2, pp. 1098–1112, 2019.
- P. Schulte and G. Böcherer, “Constant composition distribution matching,” IEEE Transactions on Information Theory, vol. 62, no. 1, pp. 430–434, 2015.
- T. Fehenberger, D. S. Millar, T. Koike-Akino, K. Kojima, K. Parsons, and H. Griesser, “Analysis of nonlinear fiber interactions for finite-length constant-composition sequences,” Journal of Lightwave Technology, vol. 38, no. 2, pp. 457–465, 2019.
- Y. C. Gültekin, A. Alvarado, O. Vassilieva, I. Kim, P. Palacharla, C. M. Okonkwo, and F. M. Willems, “Kurtosis-limited sphere shaping for nonlinear interference noise reduction in optical channels,” Journal of Lightwave Technology, vol. 40, no. 1, pp. 101–112, 2021.
- Gültekin, Yunus Can and Alvarado, Alex and Vassilieva, Olga and Kim, Inwoong and Palacharla, Paparao and Okonkwo, Chigo M and Willems, Frans MJ, “Mitigating nonlinear interference by limiting energy variations in sphere shaping,” in Optical Fiber Communication Conference. Optica Publishing Group, 2022, pp. Th3F–2.
- K. Wu, G. Liga, A. Sheikh, Y. C. Gültekin, F. M. Willems, and A. Alvarado, “List-encoding CCDM: A nonlinearity-tolerant shaper aided by energy dispersion index,” Journal of Lightwave Technology, vol. 40, no. 4, pp. 1064–1071, 2022.
- P. Skvortcov, I. Phillips, W. Forysiak, T. Koike-Akino, K. Kojima, K. Parsons, and D. S. Millar, “Huffman-coded sphere shaping for extended-reach single-span links,” IEEE Journal of Selected Topics in Quantum Electronics, vol. 27, no. 3, pp. 1–15, 2021.
- L. Schmalen, “Probabilistic constellation shaping: Challenges and opportunities for forward error correction,” in 2018 Optical Fiber Communications Conference and Exposition (OFC), 2018, pp. 1–3.
- K. Wu, G. Liga, A. Sheikh, F. M. Willems, and A. Alvarado, “Temporal energy analysis of symbol sequences for fiber nonlinear interference modelling via energy dispersion index,” Journal of Lightwave Technology, vol. 39, no. 18, pp. 5766–5782, 2021.
- J. Cho, X. Chen, G. Raybon, D. Che, E. Burrows, S. Olsson, and R. Tkach, “Shaping lightwaves in time and frequency for optical fiber communication,” Nature communications, vol. 13, no. 1, p. 785, 2022.
- Y. C. Gültekin, K. Wu, and A. Alvarado, “Temporal properties of enumerative shaping: Autocorrelation and energy dispersion index,” in Signal Processing in Photonic Communications. Optica Publishing Group, 2022, pp. SpM2I–3.
- T. Fehenberger, M. P. Yankov, L. Barletta, and N. Hanik, “Compensation of xpm interference by blind tracking of the nonlinear phase in wdm systems with qam input,” in 2015 European Conference on Optical Communication (ECOC). IEEE, 2015, pp. 1–3.
- G. Böcherer, “Probabilistic signal shaping for bit-metric decoding,” in 2014 IEEE International Symposium on Information Theory, 2014, pp. 431–435.
- A. Amari, S. Goossens, Y. C. Gültekin, O. Vassilieva, I. Kim, T. Ikeuchi, C. Okonkwo, F. M. Willems, and A. Alvarado, “Enumerative sphere shaping for rate adaptation and reach increase in WDM transmission systems,” in 45th European Conference on Optical Communication (ECOC 2019). IET, 2019, pp. 1–4.
- M. S. Neves, A. Carena, A. Nespola, P. P. Monteiro, and F. P. Guiomar, “Joint carrier-phase estimation for digital subcarrier multiplexing systems with symbol-rate optimization,” Journal of Lightwave Technology, vol. 39, no. 20, pp. 6403–6412, 2021.