Skip to main content
Log in

An improved LMS algorithm for mode demultiplexing in frequency domain

  • Published:
Optoelectronics Letters Aims and scope Submit manuscript

Abstract

In order to solve the problem that the traditional frequency domain least mean square (FD-LMS) algorithm will lose efficacy with the increase of differential mode group delay (DMGD) when the algorithm is used for demultiplexing of the 6×6 mode division multiplexing (MDM) system, an improved FD-LMS demultiplexing algorithm is proposed. By improving the error signal calculation method, the convergence performance of the output signal of the equalization filter is improved, and the steady-state error of the algorithm is reduced. Besides, the equalization performance of the traditional FD-LMS algorithm is compared with the improved FD-LMS algorithm. Simulation results show that the improved FD-LMS algorithm has great advantage over the traditional FD-LMS algorithm in demultiplexing performance on the premise that the computation complexity does not significantly increase. The optical signal to noise ratio (OSNR) penalty of the improved FD-LMS algorithm is 2.6 dB lower than that of traditional FD-LMS algorithm at a transmission distance of 80 km with DMGD is 50 ps/km.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Liu Qian-qian, Zheng Hong-jun, Li Xin, Bai Cheng-lin, Hu Wei-sheng and Yu Ru-yuan, Optoelectronics Letters 14, 336 (2018).

    Article  ADS  Google Scholar 

  2. Gnauck A H, Tkach R W, Chraplyvy A R and Li T, Journal of Lightwave Technology 26, 1032 (2008).

    Article  ADS  Google Scholar 

  3. Zhang Xue-bin, Tang Yi, Cui Lu, Zhu Qing-wei and Bai Ting-zhu, Acta Optica Sinica 36, 0206003 (2016). (in Chinese)

    Article  Google Scholar 

  4. Gnauck A H, Charlet G, Tran P, Winzer P J, Doerr C R, Centanni J C, Burrows E C, Kawanishi T, Sakamoto T and Higuma K, Journal of Lightwave Technology 26, 79 (2008).

    Article  ADS  Google Scholar 

  5. Munir A, Xin X J, Liu B, Latif A, Hussain A and Niazi S A, Optoelectronics Letters 8, 138 (2012).

    Article  ADS  Google Scholar 

  6. Essiambre R, Kramer G, Winzer P J, Foschini G J and Goebel B, Journal of Lightwave Technology 28, 662 (2010).

    Article  ADS  Google Scholar 

  7. Riesen N, Gross S, Love J D, Sasaki Y and Withford M J, Scientific Reports 7, 6971 (2017).

    Article  ADS  Google Scholar 

  8. Xiao Y, Mumtaz S, Essiambre R J and Agrawal G P, Optical Fiber Communication Conference, 2014.

  9. Chang Yu-xin, Hu Gui-jun, Bai Song, Li Jing-he and Wang Yan-ping, Chinese Journal of Lasers 41, 1205004 (2014).

    Article  Google Scholar 

  10. Ryf R, Randel S, Gnauck A H, Bolle C, Sierra A, Mumtaz S, Esmaeelpour M, Burrows E C, Essiambre R J, Winzer P J, Peckham D W, McCurdy A H and Lingle J R, Journal of Lightwave Technology 30, 521 (2012).

    Article  ADS  Google Scholar 

  11. Xie Yi-wei, Fu Song-nian, Zhang Hai-liang, Tang Ming, Shen Ping and Liu De-ming, Acta Optica Sinica 33, 0906010 (2013). (in Chinese)

    Article  Google Scholar 

  12. Huang C B and Hu G J, Chinese Journal of Lasers 44, 0606002 (2017).

    Article  Google Scholar 

  13. Ryf R, Fontaine N K, Mestre M A, Randel S, Palou X, Bolle C, Gnauck A H, Chandrasekhar S, Liu X, Guan B, Essiambre R J, Winzer P J, Leon-Saval S G, Bland-Hawthorn J, Delbue R, Pupalaikis P, Sureka A, Sun Y, Grüner-Nielsen L, Jensen R V and Lingle R, Frontiers in Optics, 2012.

  14. Arik S O, Askarov D and Kahn J M, Journal of Lightwave Technology 31, 423 (2013).

    Article  ADS  Google Scholar 

  15. Li Gui-fang, Bai Neng, Zhao Ning-bo and Xia Cen, Advances in Optics and Photonics 6, 413 (2014).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li Li  (李莉).

Additional information

This work has been supported by the National Key Research and Development Project of China (No.2018YFB2201500).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, L., Lü, Ll. & Han, L. An improved LMS algorithm for mode demultiplexing in frequency domain. Optoelectron. Lett. 17, 155–159 (2021). https://doi.org/10.1007/s11801-021-0111-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11801-021-0111-9

Document code

Navigation