logo

SCIENCE CHINA Information Sciences, Volume 64 , Issue 9 : 192302(2021) https://doi.org/10.1007/s11432-019-2918-7

Orbital angular momentum multiplexing communication system over atmospheric turbulence with K-best detection

More info
  • ReceivedOct 24, 2019
  • AcceptedMay 12, 2020
  • PublishedAug 9, 2021

Abstract


Acknowledgment

This work was supported in part by National Key RD Program of China (Grant No. 2020YFB2205503), in part by National Natural Science Foundation of China (NSFC) (Grant Nos. 61871115, 61501116), in part by Jiangsu Provincial NSF for Excellent Young Scholars (Grant No. BK20180059), in part by Six Talent Peak Program of Jiangsu Province (Grant No. 2018-DZXX-001), and in part by Fundamental Research Funds for the Central Universities.


References

[1] Willebrand H, Ghuman B S. Free Space Optics: Enabling Optical Connectivity in Today's Networks. Indianapolis: SAMS, 2002. Google Scholar

[2] Andrews L C, Phillips R L. Laser Beam Propagation Through Random Media. Bellingham: SPIE, 2005. Google Scholar

[3] Juarez J C, Dwivedi A, Hammons A R. Free-Space Optical Communications for Next-generation Military Networks. IEEE Commun Mag, 2006, 44: 46-51 CrossRef Google Scholar

[4] Gnauck A H, Winzer P J, Chandrasekhar S. Spectrally Efficient Long-Haul WDM Transmission Using 224-Gb/s Polarization-Multiplexed 16-QAM. J Lightwave Technol, 2011, 29: 373-377 CrossRef ADS Google Scholar

[5] Sano A, Masuda H, Kobayashi T. Ultra-High Capacity WDM Transmission Using Spectrally-Efficient PDM 16-QAM Modulation and C- and Extended L-Band Wideband Optical Amplification. J Lightwave Technol, 2011, 29: 578-586 CrossRef ADS Google Scholar

[6] Zhou X, Yu J, Huang M F. 64-Tb/s, 8 b/s/Hz, PDM-36QAM Transmission Over 320 km Using Both Pre- and Post-Transmission Digital Signal Processing. J Lightwave Technol, 2011, 29: 571-577 CrossRef ADS Google Scholar

[7] Liu X, Chandrasekhar S, Chen X. 112-Tb/s 32-QAM-OFDM superchannel with 86-b/s/Hz intrachannel spectral efficiency and space-division multiplexed transmission with 60-b/s/Hz aggregate spectral efficiency. Opt Express, 2011, 19: B958 CrossRef ADS Google Scholar

[8] Gibson G, Courtial J, Padgett M J. Free-space information transfer using light beams carrying orbital angular momentum. Opt Express, 2004, 12: 5448-5456 CrossRef ADS Google Scholar

[9] Djordjevic I B. Deep-space and near-Earth optical communications by coded orbital angular momentum (OAM) modulation. Opt Express, 2011, 19: 14277-14289 CrossRef ADS Google Scholar

[10] Wang J, Yang J Y, Fazal I M. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat Photon, 2012, 6: 488-496 CrossRef ADS Google Scholar

[11] Yao A M, Padgett M J. Orbital angular momentum: origins, behavior and applications. Adv Opt Photon, 2011, 3: 161-204 CrossRef ADS Google Scholar

[12] Simons C, Rash L D, Crawford J. Mutations in the voltage-gated potassium channel gene KCNH1 cause Temple-Baraitser syndrome and epilepsy. Nat Genet, 2015, 47: 73-77 CrossRef Google Scholar

[13] Zhou N, Zheng S, Cao X. Sci Adv, 2019, 5: eaau9593 CrossRef ADS Google Scholar

[14] 徐至展 . Metasurfaces enabling structured light manipulation: advances and perspectives [Invited]Metasurfaces enabling structured light manipulation: advances and perspectives [Invited]Metasurfaces enabling structured light manipulation: advances and perspectives [Invited]. Chin Opt Lett, 2018, 16: 050006 CrossRef ADS Google Scholar

[15] Bouchal Z, Celechovsky R. Mixed vortex states of light as information carriers. New J Phys, 2004, 6: 131-131 CrossRef ADS Google Scholar

[16] Djordjevic I B, Cvijetic M, Xu L. Proposal for Beyond 100-Gb/s Optical Transmission Based on Bit-Interleaved LDPC-Coded Modulation. IEEE Photon Technol Lett, 2007, 19: 874-876 CrossRef ADS Google Scholar

[17] Anguita J A, Neifeld M A, Vasic B V. Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link. Appl Opt, 2008, 47: 2414-2429 CrossRef ADS Google Scholar

[18] Wang J, Yang J Y, Fazal I M, et al. 25.6-bit/s/Hz spectral efficiency using 16-QAM signals over pol-muxed multiple orbital-angular-momentum modes. In: Proceedings of IEEE Photonic Society 24th Annual Meeting, 2011. 587--588. Google Scholar

[19] Du J, Wang J. High-dimensional structured light coding/decoding for free-space optical communications free of obstructions. Opt Lett, 2015, 40: 4827-4830 CrossRef ADS Google Scholar

[20] Wang J. Advances in communications using optical vortices. Photon Res, 2016, 4: B14 CrossRef Google Scholar

[21] 徐至展 . Data information transfer using complex optical fields: a review and perspective (Invited Paper). Chin Opt Lett, 2017, 15: 030005 CrossRef ADS Google Scholar

[22] Wang J. Twisted optical communications using orbital angular momentum. Sci China-Phys Mech Astron, 2019, 62: 34201 CrossRef ADS Google Scholar

[23] Li S, Chen S, Gao C. Atmospheric turbulence compensation in orbital angular momentum communications: Advances and perspectives. Optics Commun, 2018, 408: 68-81 CrossRef ADS Google Scholar

[24] Chen S, Li S, Zhao Y. Demonstration of 20-Gbit/s high-speed Bessel beam encoding/decoding link with adaptive turbulence compensation. Opt Lett, 2016, 41: 4680-4683 CrossRef ADS Google Scholar

[25] Li S, Wang J. Compensation of a distorted N-fold orbital angular momentum multicasting link using adaptive optics. Opt Lett, 2016, 41: 1482-1485 CrossRef ADS Google Scholar

[26] Zou L, Wang L, Xing C, et al. Turbulence mitigation with MIMO equalization for orbital angular momentum multiplexing communication. In: Proceedings of the 8th International Conference on Wireless Communications & Signal Processing (WCSP), 2016. Google Scholar

[27] Sun T F, Liu M W, Li Z X, et al. A crosstalk mitigation algorithm for OFDM-carrying OAM multiplexed FSO links. In: Proceedings of Opto-Electronics and Communications Conference (OECC) and Photonics Global Conference (PGC), 2017. Google Scholar

[28] Wang L, Jiang F, Chen M. Interference Mitigation Based on Optimal Modes Selection Strategy and CMA-MIMO Equalization for OAM-MIMO Communications. IEEE Access, 2018, 6: 69850-69859 CrossRef Google Scholar

[29] Li J, Zhang M, Wang D. Joint atmospheric turbulence detection and adaptive demodulation technique using the CNN for the OAM-FSO communication. Opt Express, 2018, 26: 10494-10508 CrossRef ADS Google Scholar

[30] Zhang Y, Wang P, Liu T. Performance analysis of a LDPC coded OAM-based UCA FSO system exploring linear equalization with channel estimation over atmospheric turbulence. Opt Express, 2018, 26: 22182-22196 CrossRef ADS Google Scholar

[31] Paterson C. Atmospheric Turbulence and Orbital Angular Momentum of Single Photons for Optical Communication. Phys Rev Lett, 2005, 94: 153901 CrossRef ADS Google Scholar

[32] Tyler G A, Boyd R W. Influence of atmospheric turbulence on the propagation of quantum states of light carrying orbital angular momentum. Opt Lett, 2009, 34: 142-144 CrossRef ADS Google Scholar

[33] Belmonte A. Feasibility Study for the Simulation of Beam Propagation: Consideration of Coherent Lidar Performance. Appl Opt, 2000, 39: 5426-5445 CrossRef ADS Google Scholar

[34] Tatarskii V I. The Effects of the Turbulent Atmosphere on Wave Propagation. Jerusalem: Israel Program for Scientific Translations, 1971. Google Scholar

[35] Hill R J. Models of the scalar spectrum for turbulent advection. J Fluid Mech, 1978, 88: 541-562 CrossRef ADS Google Scholar

[36] Andrews L C. An Analytical Model for the Refractive Index Power Spectrum and Its Application to Optical Scintillations in the Atmosphere. J Modern Opt, 1992, 39: 1849-1853 CrossRef ADS Google Scholar

[37] Chen S Z. Signal detection algorithm design and VLSI implementation for MIMO-OFDM wireless communication systems. Dissertation for Ph.D. Degree. Troy: Rensselaer Polytechnic Institute, 2007. Google Scholar

[38] Wubben D, Bohnke R, Kuhn V, et al. MMSE extension of V-BLAST based on sorted QR decomposition. In: Proceedings of the 58th Vehicular Technology Conference (VTC), 2003. 508--512. Google Scholar

[39] Chiueh T D, Tsai P Y, Lai I-W, et al. Baseband Receiver Design for Wireless MIMO-OFDM Communications. Singapore: Wiley, 2012. Google Scholar

[40] Richter T, Palushani E, Schmidt-Langhorst C. Transmission of Single-Channel 16-QAM Data Signals at Terabaud Symbol Rates. J Lightwave Technol, 2012, 30: 504-511 CrossRef ADS Google Scholar

[41] Song H, Bock R, Lynn B. Experimental Mitigation of Atmospheric Turbulence Effect Using Pre-Signal Combining for Uni- and Bi-Directional Free-Space Optical Links With Two 100-Gbit/s OAM-Multiplexed Channels. J Lightwave Technol, 2020, 38: 82-89 CrossRef ADS Google Scholar

[42] Ren Y, Wang Z, Xie G. Atmospheric turbulence mitigation in an OAM-based MIMO free-space optical link using spatial diversity combined with MIMO equalization. Opt Lett, 2016, 41: 2406-2409 CrossRef ADS Google Scholar

[43] Yan Y, Xie G, Lavery M P J. High-capacity millimetre-wave communications with orbital angular momentum multiplexing. Nat Commun, 2014, 5: 4876 CrossRef ADS Google Scholar

  • Figure 1

    (Color online) Vortex optical multiplexing/demultiplexing model.

  • Figure 2

    Comparison of (a) crosstalk caused by atmospheric turbulence and (b) MIMO channel model.

  • Figure 3

    (Color online) Channel matrix of OAM-DM communication system with different $C_n^2$ values. (a) $C_n^2=1\times10^{-14}$;protect łinebreak (b) $C_n^2=1\times10^{-15}$; (c) $C_n^2=1\times10^{-16}$.

  • Figure 4

    (Color online) K-best algorithm tree search schematic.

  • Figure 5

    (Color online) Comparison of K-best detection, direct detection, DA-LMS and MMSE results under the conditions of (a) $C_n^2=1\times~10^{-14}$ (strong turbulence) and (b) $C_n^2=1\times~10^{-15}$ (weak turbulence).

  • Figure 6

    (Color online) Comparison of K-best detection with/without WPE results under the conditions of (a) $C_n^2=1\times~10^{-14}$(strong turbulence) and (b) $C_n^2=1\times~10^{-15}$(weak turbulence).

  • Figure 7

    (Color online) Comparison of K-best detection with/without MSP results under the conditions of (a) $C_n^2=1\times~10^{-14}$ (strong turbulence) and (b) $C_n^2=1\times~10^{-15}$ (weak turbulence).

  • Figure 8

    (Color online) Comparison of the trade-off between complexity and performance for different MIMO equalization algorithms. (a) $C_n^2=1\times10^{-14}$; (b) $C_n^2=1\times10^{-15}$.

  • Table 1  

    Table 1Comparison of computational complexity for different detection algorithms

    MethodComplexity order
    DA-LMS[26,27]$m^2~l_{\rm~iter}+m^2~l_{\rm~data}$
    MMSE[30]CE $m^2~l_{\rm~pilot}$
    Detection $m^3+m^2~l_{\rm~data}$
    Traditional K-bestCE+QRD $m^2~l_{\rm~pilot}+m^3+m^2$
    Tree search $k\sqrt{q}(m^2+m\log_2~{k\sqrt{q}})l_{\rm~data}$
    K-best with MSPCE+MSP $m^2~l_{\rm~pilot}+m^3+m^2+m\log_{2}~m$
    Tree search $k\sqrt{q}(m^2+m\log_2~{k\sqrt{q}})l_{\rm~data}$
    K-best with WPECE+QRD $m^2~l_{\rm~pilot}+m^3+m^2$
    Tree search $k(m^2+mk\log_2~k)l_{\rm~data}$
qqqq

Contact and support