Single-mode fibers have reached a critical point in terms of optical communication capacity. Space division multiplexing (SDM) is one of the most promising candidates for increasing optical fiber capacity. SDM allows the propagation of multiple spatial channels where the paths could be multiple cores in a multi-core fiber (MCF). The transmission performance of MCFs is impaired by a non-unitary effect known as Core Dependent Loss (CDL). Multiple-input multiple-output (MIMO) technology is an effective solution to improve the transmission performance of MCFs. However, it can increase the system cost. Several techniques, such as core scrambling and Space-Time (ST) coding, have been proposed to mitigate CDL. This paper focuses on the analysis of the MCF transmission performance of different schemes. Our analysis concerns the derivation of an upper bound of the error probability by applying Maximum Likelihood (ML) and Zero-Forcing (ZF) decoders at the receiver. We also evaluate the performance of both core scrambling and ST coding systems. We prove that the ZF decoder offers similar performance to the ML decoder and confirm this with simulation results. Finally, to consider the cost factor of applying MIMO techniques, low complexity solution is proposed by combining core scrambling and ST codes using the sub-optimal ZF decoder and show performance close to the Gaussian channel.
| Published in | American Journal of Optics and Photonics (Volume 9, Issue 3) |
| DOI | 10.11648/j.ajop.20210903.12 |
| Page(s) | 39-50 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2021. Published by Science Publishing Group |
Fiber Optics Communications, MIMO, Space Division Multiplexing, Space-Time Coding
| [1] | D. Richardson, J. Fini, and L. Nelson, “Space division multiplexing in optical fibers” Nature Photonics, vol. 7, pp. 354-362, 2013. |
| [2] | J. Tu, K. Saitoh, M. Koshiba, K. Takenaga, and S. Matsuo, “Design and analysis of large-effective-area heterogeneous trench-assisted multi-core fiber,” Optics express, vol. 20, no. 14, pp. 15157-15170, 2012. |
| [3] | Hayashi, T. Taru, O. Shimakawa, T. Sasaki, and E. Sasaoka, “Design and fabrication of ultra-low crosstalk and low-loss multi-core fiber,” Optics express, vol. 19, no. 17, pp. 16576–16592, 2011. |
| [4] | Mizuno, K. Shibahara, H. Ono, Y. Abe, Y. Miyamoto, F. Ye, T. Morioka, Y. Sasaki, Y. Amma, and K. Takenaga, “32-core dense SDM unidirectional transmission of PDM-16QAM signals over 1600km using crosstalk-managed single-mode heterogeneous multicore transmission line,” in IEEE Optical Fiber Communications Conference and Exhibition, pp. 1–3, 2016. |
| [5] | T. M. F. Alves and A. V. T. Cartaxo, “Experimental and analytical characterization of time variation of ICXT in MCFs with multiple interfering cores,” in Optical Fiber Communications Conference and Exposition (OFC), pp. 1–3, 2018. |
| [6] | M. Koshiba, K. Saitoh, K. Takenaga, and S. Matsuo, “Multi-core fiber design and analysis: coupled-mode theory and coupled-power theory,” Optics express, vol. 19, no. 26, pp. B102–B111, 2011. |
| [7] | K. Watanabe and T. Saito, “Compact fan-out for 19-coremulticore fiber with high manufacture ability and good optical properties,” in IEEE Opto-Electronics and Communications Conference, 2015, pp. 1–3, 2015. |
| [8] | A. Abouseif, G. Rekaya Ben-Othman, and Y. Jaouën, “Channel model and optimal core scrambling for multi-core fiber transmission system,” Optics Communications, vol. 454, p. 124396, 2020. |
| [9] | K.-P. Ho and J. M. Kahn, “Mode-dependent loss and gain: statistics and effect on mode-division multiplexing,” Opt. Express, vol. 19, pp. 16612–16635, Aug 2011. |
| [10] | S. Warm and K. Petermann, “Splice loss requirements in multi-mode fiber mode-division-multiplex transmission links,”Optics express, vol. 21, no. 1, pp. 519–532, 2013. |
| [11] | S. Luis, B. J. Puttnam, G. Rademacher, Y. Awaji, and N. Wada, “On the use of high-order MIMO for long-distance homogeneous single-mode multicore fiber transmission,” in European Conference on Optical Communication (ECOC), pp. 1–3, IEEE, 2017. |
| [12] | Filipenko and O. Sychova, “Research of misalignments and cross-sectional structure influence on optical loss in photonic crystal fibers connections,” in IEEE International Conference on Advanced Optoelectronics and Lasers, pp. 85–87, 2013. |
| [13] | D. Marcuse, “Loss analysis of single-mode fiber splices,” Bell System Technical Journal, vol. 56, no. 5, pp. 703–718, 1977. |
| [14] | J. Cui, S. Zhu, K. Feng, D. Hong, J. Li, and J. Tan, “Fan-out device for multicore fiber coupling application based on capillary bridge self-assembly fabrication method,”Optical Fiber Technology, vol. 26, pp. 234–242, 2015. |
| [15] | P. J. Winzer and G. J. Foschini, “MIMO capacities and outage probabilities in spatially multiplexed optical transport systems,” Optics Express, vol. 19, no. 17, pp. 16680–16696, 2011. |
| [16] | Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R.-J. Essiambre, P. J. Winzer, et al., “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6×6 MIMO processing,” Journal of Light wave technology, vol. 30, no. 4, pp. 521–531, 2012. |
| [17] | B. Inan, B. Spinnler, F. Ferreira, D. van den Borne, A. Lobato, S. Adhikari, V. A. Sleiffer, M. Kuschnerov, N. Hanik, and S. L. Jansen, “DSP complexity of mode-division multiplexed receivers,” Optics express, vol. 20, no. 10, pp. 10859–10869, 2012. |
| [18] | R. Epworth, “Phenomenon of modal noise in fiber systems,” in Optical Fiber Communication Conference, p. ThD1, Optical Society of America, 1979. |
| [19] | M. K. Simon and M.-S. Alouini, Digital communication over fading channels, vol. 95. John Wiley & Sons, 2005. |
| [20] | Damen and G. Rekaya-Ben Othman, “On the performance of spatial modulations over multimode optical fiber transmission channels,” IEEE Transactions on Communications, vol. 67, pp. 3470–3481, May 2019. |
| [21] | L. Bachioua, “Extended lognormal distribution: Properties and applications,” The Scientific World Journal, 2020. |
| [22] | J. Proakis, Digital Communications, 4th edition. McGraw-Hillseries in Electrical and Computer Engineering, 2000. |
| [23] | R. Xu and F. Lau, “Performance analysis for MIMO systems using zero forcing detector over fading channels,” IEEE Proceedings-Communications, vol. 153, no. 1, pp. 74–80, 2006. |
| [24] | C. R. Schwarz, “Statistics of range of a set of normally distributed numbers,” Journal of surveying engineering, vol. 132, no. 4, pp. 155–159, 2006. |
| [25] | E.-M. Amhoud, G. Rekaya Ben-Othman, and Y. Jaouën, “Concatenation of space-time coding and FEC for few-mode fiber systems,” IEEE Photonics Technology Letters, vol. 29, pp. 603–606, 2017. |
| [26] | V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space-time codes for high data rate wireless communication: Performance criterion and code construction,” IEEE transactions on information theory, vol. 44, no. 2, pp. 744–765, 1998. |
| [27] | H. El Gamal and M. O. Damen, “Universal space-time coding,” IEEE Transactions on Information Theory, vol. 49, no. 5, pp. 1097–1119, 2003. |
| [28] | E. Awwad, G. Rekaya Ben-Othman, and Y. Jaouën, “Space-time coding schemes for MDL-impaired mode-multiplexed fiber transmission systems,” Journal of Lightwave Technology, vol. 33, no. 24, pp. 5084–5094, 2015. |
| [29] | O. Damen, A. Chkeif, and J.-C. Belfiore, “Lattice code decoder for space-time codes,” IEEE Communications letters, vol. 4, no. 5, pp. 161–163, 2000. |
APA Style
Akram Abouseif, Ghaya Rekaya-Ben Othman, Oussama Damen. (2021). Performance Analysis of CDL-impaired Multi-Core Fiber Transmission. American Journal of Optics and Photonics, 9(3), 39-50. https://doi.org/10.11648/j.ajop.20210903.12
ACS Style
Akram Abouseif; Ghaya Rekaya-Ben Othman; Oussama Damen. Performance Analysis of CDL-impaired Multi-Core Fiber Transmission. Am. J. Opt. Photonics 2021, 9(3), 39-50. doi: 10.11648/j.ajop.20210903.12
AMA Style
Akram Abouseif, Ghaya Rekaya-Ben Othman, Oussama Damen. Performance Analysis of CDL-impaired Multi-Core Fiber Transmission. Am J Opt Photonics. 2021;9(3):39-50. doi: 10.11648/j.ajop.20210903.12
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Download@article{10.11648/j.ajop.20210903.12,
author = {Akram Abouseif and Ghaya Rekaya-Ben Othman and Oussama Damen},
title = {Performance Analysis of CDL-impaired Multi-Core Fiber Transmission},
journal = {American Journal of Optics and Photonics},
volume = {9},
number = {3},
pages = {39-50},
doi = {10.11648/j.ajop.20210903.12},
url = {https://doi.org/10.11648/j.ajop.20210903.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20210903.12},
abstract = {Single-mode fibers have reached a critical point in terms of optical communication capacity. Space division multiplexing (SDM) is one of the most promising candidates for increasing optical fiber capacity. SDM allows the propagation of multiple spatial channels where the paths could be multiple cores in a multi-core fiber (MCF). The transmission performance of MCFs is impaired by a non-unitary effect known as Core Dependent Loss (CDL). Multiple-input multiple-output (MIMO) technology is an effective solution to improve the transmission performance of MCFs. However, it can increase the system cost. Several techniques, such as core scrambling and Space-Time (ST) coding, have been proposed to mitigate CDL. This paper focuses on the analysis of the MCF transmission performance of different schemes. Our analysis concerns the derivation of an upper bound of the error probability by applying Maximum Likelihood (ML) and Zero-Forcing (ZF) decoders at the receiver. We also evaluate the performance of both core scrambling and ST coding systems. We prove that the ZF decoder offers similar performance to the ML decoder and confirm this with simulation results. Finally, to consider the cost factor of applying MIMO techniques, low complexity solution is proposed by combining core scrambling and ST codes using the sub-optimal ZF decoder and show performance close to the Gaussian channel.},
year = {2021}
}
TY - JOUR T1 - Performance Analysis of CDL-impaired Multi-Core Fiber Transmission AU - Akram Abouseif AU - Ghaya Rekaya-Ben Othman AU - Oussama Damen Y1 - 2021/11/23 PY - 2021 N1 - https://doi.org/10.11648/j.ajop.20210903.12 DO - 10.11648/j.ajop.20210903.12 T2 - American Journal of Optics and Photonics JF - American Journal of Optics and Photonics JO - American Journal of Optics and Photonics SP - 39 EP - 50 PB - Science Publishing Group SN - 2330-8494 UR - https://doi.org/10.11648/j.ajop.20210903.12 AB - Single-mode fibers have reached a critical point in terms of optical communication capacity. Space division multiplexing (SDM) is one of the most promising candidates for increasing optical fiber capacity. SDM allows the propagation of multiple spatial channels where the paths could be multiple cores in a multi-core fiber (MCF). The transmission performance of MCFs is impaired by a non-unitary effect known as Core Dependent Loss (CDL). Multiple-input multiple-output (MIMO) technology is an effective solution to improve the transmission performance of MCFs. However, it can increase the system cost. Several techniques, such as core scrambling and Space-Time (ST) coding, have been proposed to mitigate CDL. This paper focuses on the analysis of the MCF transmission performance of different schemes. Our analysis concerns the derivation of an upper bound of the error probability by applying Maximum Likelihood (ML) and Zero-Forcing (ZF) decoders at the receiver. We also evaluate the performance of both core scrambling and ST coding systems. We prove that the ZF decoder offers similar performance to the ML decoder and confirm this with simulation results. Finally, to consider the cost factor of applying MIMO techniques, low complexity solution is proposed by combining core scrambling and ST codes using the sub-optimal ZF decoder and show performance close to the Gaussian channel. VL - 9 IS - 3 ER -
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