OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 1 — Jan. 13, 2014
  • pp: 119–126

MIMO equalization with adaptive step size for few-mode fiber transmission systems

Roy G. H. van Uden, Chigo M. Okonkwo, Vincent A. J. M. Sleiffer, Hugo de Waardt, and Antonius M. J. Koonen  »View Author Affiliations


Optics Express, Vol. 22, Issue 1, pp. 119-126 (2014)
http://dx.doi.org/10.1364/OE.22.000119


View Full Text Article

Enhanced HTML    Acrobat PDF (1505 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Optical multiple-input multiple-output (MIMO) transmission systems generally employ minimum mean squared error time or frequency domain equalizers. Using an experimental 3-mode dual polarization coherent transmission setup, we show that the convergence time of the MMSE time domain equalizer (TDE) and frequency domain equalizer (FDE) can be reduced by approximately 50% and 30%, respectively. The criterion used to estimate the system convergence time is the time it takes for the MIMO equalizer to reach an average output error which is within a margin of 5% of the average output error after 50,000 symbols. The convergence reduction difference between the TDE and FDE is attributed to the limited maximum step size for stable convergence of the frequency domain equalizer. The adaptive step size requires a small overhead in the form of a lookup table. It is highlighted that the convergence time reduction is achieved without sacrificing optical signal-to-noise ratio performance.

© 2013 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.4230) Fiber optics and optical communications : Multiplexing

ToC Category:
Subsystems for Optical Networks and Datacomms

History
Original Manuscript: October 8, 2013
Revised Manuscript: November 17, 2013
Manuscript Accepted: November 19, 2013
Published: December 23, 2013

Virtual Issues
European Conference and Exhibition on Optical Communication (2013) Optics Express

Citation
Roy G. H. van Uden, Chigo M. Okonkwo, Vincent A. J. M. Sleiffer, Hugo de Waardt, and Antonius M. J. Koonen, "MIMO equalization with adaptive step size for few-mode fiber transmission systems," Opt. Express 22, 119-126 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-1-119


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. Ryf, S. Randel, N. K. Fontaine, M. Montoliu, E. Burrows, S. Chandrasekhar, A. H. Gnauck, C. Xie, R.-J. Essiambre, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, L. Gruner-Nielsen, R. V. Jensen, and R. Lingle, “32-bit/s/Hz spectral efficiency WDM transmission over 177-km few-mode fiber,” in Proc. Optical Fiber Communication Conference/National Fiber Optic Engineers Conference (OFC/NFOEC’13) (2013), paper PDPA.1.
  2. E. Ip, M.-J. Li, Y.-K. Huang, A. Tanaka, E. Mateo, W. Wood, J. Hu, Y. Yano, and K. Koreshkov, “146λ x 6 x 19-Gbaud wavelength- and mode-division multiplexed transmission over 10x50-Km spans of few-mode fiber with a gain-equalized few-mode EDFA,” in Proc. Optical Fiber Communication Conference/National Fiber Optic Engineers Conference (OFC/NFOEC’13) (2013), paper PDPA.2.
  3. V. A. J. M. Sleiffer, Y. Jung, V. Veljanovski, R. G. H. van Uden, M. Kuschnerov, Q. Kang, L. Grüner-Nielsen, Y. Sun, D. J. Richardson, S. U. Alam, F. Poletti, J. K. Sahu, A. Dhar, H. Chen, B. Inan, A. M. J. Koonen, B. Corbett, R. Winfield, A. D. Ellis, and H. de Waardt, “73.7 Tb/s (96x3x256-Gb/s) mode-division-multiplexed DP-16QAM transmission with inline MM-EDFA,” in Proc. European Conference on Optical Communication (ECOC’12) (2012), paper Th.3.C.4. [CrossRef]
  4. D. Gloge, “Weakly guiding fibers,” Appl. Opt.10(10), 2252–2258 (1971). [CrossRef] [PubMed]
  5. R. G. H. van Uden, C. M. Okonkwo, V. A. J. M. Sleiffer, H. de Waardt, and A. M. J. Koonen, “Adaptive step size MIMO equalization for few-mode fiber transmission systems,” in Proc. European Conference on Optical Communication (ECOC’13) (2013), paper Th.2.C.2.
  6. R. H. Kwong and E. W. Johnston, “A variable step size LMS algorithm,” IEEE Trans. Signal Process.40(7), 1633–1642 (1992). [CrossRef]
  7. Z. Shengkui, M. Zhihong, and K. Suiyang, “A fast variable step-size LMS algorithm with system identification,” in Proc. Second IEEE Conference on Industrial Electronics and Applications (2007), 2340–2345. [CrossRef]
  8. B. G. Choi, Y. W. Park, and J. H. Choi, “The adaptive least mean square algorithm using several step size for multiuser detection,” Proc. Vehicular Technical Conference6(6), 2822–2825 (2000).
  9. V. A. J. M. Sleiffer, Y. Jung, B. Inan, H. Chen, R. G. H. van Uden, M. Kuschnerov, D. van den Borne, S. L. Jansen, V. Veljanovski, A. M. J. Koonen, D. J. Richardson, S. U. Alam, F. Poletti, J. K. Sahu, A. Dhar, B. Corbett, R. Winfield, A. D. Ellis, and H. de Waardt, “Mode-division-multiplexed 3x112-Gb/s DP-QPSK transmission over 80-km few-mode fiber with inline MM-EDFA and Blind DSP,” in Proc. European Conference on Optical Communication (ECOC’12) (2012), paper Tu.1.C.2. [CrossRef]
  10. Y. Jung, S. U. Alam, Z. Li, A. Dhar, D. Giles, I. P. Giles, J. K. Sahu, F. Poletti, L. Grüner-Nielsen, and D. J. Richardson, “First demonstration and detailed characterization of a multimode amplifier for space division Multiplexed transmission systems,” Opt. Express19(26), B952–B957 (2011). [CrossRef] [PubMed]
  11. L. Grüner-Nielsen, J. W. Nicholson, K. Jespersen, Y. Sun, R. Lingle, D. Jacobsen, and B. Pálsdóttir, “Measuring distributed mode scattering in few mode fibers with high and low differential group delay,” in Proc. of IEEE Photonics Society 2012 Sumer Topical Meeting (2012), paper TuC1.3. [CrossRef]
  12. S. Savory, “Digital coherent optical receivers: algorithms and subsystems,” IEEE J. Sel. Top. Quantum Electron.16(5), 1164–1179 (2010). [CrossRef]
  13. R. A. Soriano, F. N. Hauske, G. Gonzalez, Z. Zhang, Y. Ye, and I. T. Monroy, “Chromatic dispersion estimation in digital coherent receivers,” J. Lightwave Technol.29(11), 1627–1637 (2011). [CrossRef]
  14. M. Kuschnerov, F. N. Hauske, K. Piyawanno, B. Spinnler, M. S. Alfiad, A. Napoli, and B. Lankl, “DSP for coherent single-carrier receivers,” J. Lightwave Technol.27(16), 3614–3622 (2009). [CrossRef]
  15. R. G. H. van Uden, C. M. Okonkwo, V. A. J. M. Sleiffer, M. Kuschnerov, H. de Waardt, and A. M. J. Koonen, “Single DPLL joint carrier phase compensation for few-mode fiber transmission,” IEEE Photonics Technol. Lett.25(14), 1381–1384 (2013). [CrossRef]
  16. J. Proakis and M. Salehi, Digital Communications, 3rd ed. (McGraw-Hill Science, 2007), p. 645.
  17. N. Benvenuto and G. Cherubini, Algorithms for Communications Systems and Their Applications (John Wiley, 2002), p. 211.
  18. M. S. Faruk and K. Kikuchi, “Adaptive frequency-domain equalization in digital coherent optical receivers,” Opt. Express19(13), 12789–12798 (2011). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited