Abstract

In this paper, we demonstrate channel equalization for two-modefiber based MIMO system with the size of receiver larger than that of transmitter. The proposed configuration is verified via experiments of 102-Gb/s CO-OFDM mode-division multiplexed systems. We compare performances of three channel equalization algorithms including zero-forcing (ZF), minimum-mean-square-error (MMSE), and successive-interference-cancellation (SIC). Our results show that the 4x6 MIMO system can improve the receiver sensitivity by 1.8, 2.9, and 4.9 dB for ZF, MMSE, and SIC, respectively.

© 2012 OSA

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  1. P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature411(6841), 1027–1030 (2001).
    [CrossRef] [PubMed]
  2. R. J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightwave Technol.28(4), 662–701 (2010).
    [CrossRef]
  3. X. Chen and W. Shieh, “Closed-form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express18(18), 19039–19054 (2010).
    [CrossRef] [PubMed]
  4. W. Shieh and X. Chen, “Information spectral efficiency and launch power density limits due to fiber nonlinearity for coherent optical OFDM systems,” IEEE Photon. J.3(2), 158–173 (2011).
    [CrossRef]
  5. G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Opt. Express19(26), B440–B451 (2011).
    [CrossRef]
  6. D. Qian, M. F. Huang, E. Ip, Y. K. Huang, Y. Shao, J. Hu, and T. Wang, “101.7-Tb/s (370 x 294-Gb/s) PDM-128QAM-OFDM transmission over 3 x 55-km SSMF using pilot-based phase noise mitigation,” Optical Fiber Communication Conference (OFC), 2011, PDPB5.
  7. J. Sakaguchi, Y. Awaji, N. Wada, A. Kanno, T. Kawanishi, T. Hayashi, T. Taru, T. Kobayashi, and M. Watanabe, “109-Tb/s (7×97×172-Gb/s SDM/WDM/PDM) QPSK transmission through 16.8-km homogeneous multi-core fiber,” Optical Fiber Communication Conference (OFC), Los Angeles, USA, 2011, p.PDPB6.
  8. Y. Kokubun and M. Koshiba, “Novel multi-core fibers for mode division multiplexing: proposal and design principle,” IEICE Electron. Express6(8), 522–528 (2009).
    [CrossRef]
  9. B. Zhu, T. Taunay, M. Fishteyn, X. Liu, S. Chandrasekhar, M. Yan, J. Fini, E. Monberg, and F. Dimarcello, “Space-, wavelength-, polarization-division multiplexed transmission of 56-Tb/s over a 76.8-km seven-core fiber,” Optical Fiber Communication Conference (OFC), Los Angeles, USA, 2011, PDPB.7.
  10. R. Ryf, R. Essiambre, A. Gnauck, S. Randel, M. A. Mestre, C. Schmidt, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, T. Hayashi, T. Taru, and T. Sasaki, “Space-division multiplexed transmission over 4200 km 3-core microstructured fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), PDP5C.2.
  11. A. Li, A. Al Amin, X. Chen, and W. Shieh, “Transmission of 107-Gb/s mode and polarization multiplexed CO-OFDM signal over a two-mode fiber,” Opt. Express19(9), 8808–8814 (2011).
    [CrossRef] [PubMed]
  12. S. Randel, R. Ryf, A. Gnauck, M. A. Mestre, C. Schmidt, R. Essiambre, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, X. Jiang, and R. Lingle, “Mode-multiplexed 6×20-GBd QPSK transmission over 1200-km DGD-compensated few-mode fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), PDP5C.5.
  13. E. Ip, N. Bai, Y. Huang, E. Mateo, F. Yaman, S. Bickham, H. Tam, C. Lu, M. Li, S. Ten, A. P. T. Lau, V. Tse, G. Peng, C. Montero, X. Prieto, and G. Li, “88x3x112-Gb/s WDM transmission over 50-km of three-mode fiber with inline multimode fiber amplifier,” in 37th European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), Th.13.C.2.
  14. S. Randel, A. Sierra, S. Mumtaz, A. Tulino, R. Ryf, P. Winzer, C. Schmidt, and R. Essiambre, “Adaptive MIMO signal processing for mode-division multiplexing,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), OW3D.5.
  15. J. M. Kahn, K. Ho, and M. Bagher Shemirani, “Mode coupling effects in multi-mode fibers,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), OW3D.3.
  16. R. Ryf, M. A. Mestre, A. Gnauck, S. Randel, C. Schmidt, R. Essiambre, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, X. Jiang, D. Peckham, A. H. McCurdy, and R. Lingle, “Low-loss mode coupler for mode-multiplexed transmission in few-mode fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), PDP5B.5.
  17. C. Koebele, M. Salsi, D. Sperti, P. Tran, P. Brindel, H. Mardoyan, S. Bigo, A. Boutin, P. Sillard, F. Cerou, and G. Charlet, “Two-mode transmission with digital inter-modal cross-talk mitigation,” in 37th European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), Tu.5.B.4.
  18. D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).
  19. P. W. Wolniansky, G. J. Foschini, G. D. Golden, and R. A. Valenzuela, “V-BLAST: An architecture for realizing very high data rates over the rich-scattering wireless channel”, in Proc. URSI Int. Symp. Signals, Systems, and Electronics, (IS SSE 98), Pisa, Italy, 295–300, 1998.
  20. X. Liu and F. Buchali, “Intra-symbol frequency-domain averaging based channel estimation for coherent optical OFDM,” Opt. Express16(26), 21944–21957 (2008).
    [CrossRef] [PubMed]
  21. X. Chen, A. Li, G. Gao, and W. Shieh, “Experimental demonstration of improved fiber nonlinearity tolerance for unique-word DFT-spread OFDM systems,” Opt. Express19(27), 26198–26207 (2011).
    [CrossRef] [PubMed]
  22. S. L. Jansen, I. Morita, T. C. W. Schenk, and H. Tanaka, “121.9-Gb/s PDM-OFDM transmission with 2-b/s/Hz spectral efficiency over 1000 km of SSMF,” J. Lightwave Technol.27(3), 177–188 (2009).
    [CrossRef]
  23. Y. Miyata, K. Sugihara, W. Matsumoto, K. Onohara, T. Sugihara, K. Kubo, H. Yoshida, and T. Mizuochi, “A triple-concatenated FEC using soft-decision decoding for 100 Gb/s optical transmission,” in Optical Fiber Communication Conference, OSA Technical Digest (CD) (Optical Society of America, 2010), OThL3.
  24. S. Randel, M. A. Mestre, R. Ryf, and P. J. Winzer, “Digital signal processing in spatially multiplexed coherent communications,” in 38th European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2012), Tu.3.C.1.

2011 (4)

2010 (2)

2009 (2)

Y. Kokubun and M. Koshiba, “Novel multi-core fibers for mode division multiplexing: proposal and design principle,” IEICE Electron. Express6(8), 522–528 (2009).
[CrossRef]

S. L. Jansen, I. Morita, T. C. W. Schenk, and H. Tanaka, “121.9-Gb/s PDM-OFDM transmission with 2-b/s/Hz spectral efficiency over 1000 km of SSMF,” J. Lightwave Technol.27(3), 177–188 (2009).
[CrossRef]

2008 (1)

2003 (1)

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

2001 (1)

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature411(6841), 1027–1030 (2001).
[CrossRef] [PubMed]

Al Amin, A.

Bosco, G.

Buchali, F.

Carena, A.

Chen, X.

Curri, V.

Essiambre, R. J.

Forghieri, F.

Foschini, G. J.

Gao, G.

Gesbert, D.

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

Goebel, B.

Jansen, S. L.

Kokubun, Y.

Y. Kokubun and M. Koshiba, “Novel multi-core fibers for mode division multiplexing: proposal and design principle,” IEICE Electron. Express6(8), 522–528 (2009).
[CrossRef]

Koshiba, M.

Y. Kokubun and M. Koshiba, “Novel multi-core fibers for mode division multiplexing: proposal and design principle,” IEICE Electron. Express6(8), 522–528 (2009).
[CrossRef]

Kramer, G.

Li, A.

Liu, X.

Mitra, P. P.

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature411(6841), 1027–1030 (2001).
[CrossRef] [PubMed]

Morita, I.

Naguib, A.

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

Poggiolini, P.

Schenk, T. C. W.

Shafi, M.

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

Shieh, W.

Shiu, D. S.

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

Smith, P.

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

Stark, J. B.

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature411(6841), 1027–1030 (2001).
[CrossRef] [PubMed]

Tanaka, H.

Winzer, P. J.

IEEE J. Select. Areas Commun (1)

D. Gesbert, M. Shafi, D. S. Shiu, P. Smith, and A. Naguib, “From theory to practice: An overview of MIMO space-time coded wireless systems,” IEEE J. Select. Areas Commun., Special Issue on MIMO Systems 21(pt. I), 281–302 (2003).

IEEE Photon. J. (1)

W. Shieh and X. Chen, “Information spectral efficiency and launch power density limits due to fiber nonlinearity for coherent optical OFDM systems,” IEEE Photon. J.3(2), 158–173 (2011).
[CrossRef]

IEICE Electron. Express (1)

Y. Kokubun and M. Koshiba, “Novel multi-core fibers for mode division multiplexing: proposal and design principle,” IEICE Electron. Express6(8), 522–528 (2009).
[CrossRef]

J. Lightwave Technol. (2)

Nature (1)

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature411(6841), 1027–1030 (2001).
[CrossRef] [PubMed]

Opt. Express (5)

Other (13)

S. Randel, R. Ryf, A. Gnauck, M. A. Mestre, C. Schmidt, R. Essiambre, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, X. Jiang, and R. Lingle, “Mode-multiplexed 6×20-GBd QPSK transmission over 1200-km DGD-compensated few-mode fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), PDP5C.5.

E. Ip, N. Bai, Y. Huang, E. Mateo, F. Yaman, S. Bickham, H. Tam, C. Lu, M. Li, S. Ten, A. P. T. Lau, V. Tse, G. Peng, C. Montero, X. Prieto, and G. Li, “88x3x112-Gb/s WDM transmission over 50-km of three-mode fiber with inline multimode fiber amplifier,” in 37th European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), Th.13.C.2.

S. Randel, A. Sierra, S. Mumtaz, A. Tulino, R. Ryf, P. Winzer, C. Schmidt, and R. Essiambre, “Adaptive MIMO signal processing for mode-division multiplexing,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), OW3D.5.

J. M. Kahn, K. Ho, and M. Bagher Shemirani, “Mode coupling effects in multi-mode fibers,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), OW3D.3.

R. Ryf, M. A. Mestre, A. Gnauck, S. Randel, C. Schmidt, R. Essiambre, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, X. Jiang, D. Peckham, A. H. McCurdy, and R. Lingle, “Low-loss mode coupler for mode-multiplexed transmission in few-mode fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), PDP5B.5.

C. Koebele, M. Salsi, D. Sperti, P. Tran, P. Brindel, H. Mardoyan, S. Bigo, A. Boutin, P. Sillard, F. Cerou, and G. Charlet, “Two-mode transmission with digital inter-modal cross-talk mitigation,” in 37th European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), Tu.5.B.4.

P. W. Wolniansky, G. J. Foschini, G. D. Golden, and R. A. Valenzuela, “V-BLAST: An architecture for realizing very high data rates over the rich-scattering wireless channel”, in Proc. URSI Int. Symp. Signals, Systems, and Electronics, (IS SSE 98), Pisa, Italy, 295–300, 1998.

D. Qian, M. F. Huang, E. Ip, Y. K. Huang, Y. Shao, J. Hu, and T. Wang, “101.7-Tb/s (370 x 294-Gb/s) PDM-128QAM-OFDM transmission over 3 x 55-km SSMF using pilot-based phase noise mitigation,” Optical Fiber Communication Conference (OFC), 2011, PDPB5.

J. Sakaguchi, Y. Awaji, N. Wada, A. Kanno, T. Kawanishi, T. Hayashi, T. Taru, T. Kobayashi, and M. Watanabe, “109-Tb/s (7×97×172-Gb/s SDM/WDM/PDM) QPSK transmission through 16.8-km homogeneous multi-core fiber,” Optical Fiber Communication Conference (OFC), Los Angeles, USA, 2011, p.PDPB6.

B. Zhu, T. Taunay, M. Fishteyn, X. Liu, S. Chandrasekhar, M. Yan, J. Fini, E. Monberg, and F. Dimarcello, “Space-, wavelength-, polarization-division multiplexed transmission of 56-Tb/s over a 76.8-km seven-core fiber,” Optical Fiber Communication Conference (OFC), Los Angeles, USA, 2011, PDPB.7.

R. Ryf, R. Essiambre, A. Gnauck, S. Randel, M. A. Mestre, C. Schmidt, P. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, T. Hayashi, T. Taru, and T. Sasaki, “Space-division multiplexed transmission over 4200 km 3-core microstructured fiber,” in Optical Fiber Communication Conference, OSA Technical Digest (Optical Society of America, 2012), PDP5C.2.

Y. Miyata, K. Sugihara, W. Matsumoto, K. Onohara, T. Sugihara, K. Kubo, H. Yoshida, and T. Mizuochi, “A triple-concatenated FEC using soft-decision decoding for 100 Gb/s optical transmission,” in Optical Fiber Communication Conference, OSA Technical Digest (CD) (Optical Society of America, 2010), OThL3.

S. Randel, M. A. Mestre, R. Ryf, and P. J. Winzer, “Digital signal processing in spatially multiplexed coherent communications,” in 38th European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2012), Tu.3.C.1.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for 4x6 FMF MIMO CO-OFDM measurement. LD: Laser diode; IM: Intensity modulator; AWG: Arbitrary waveform generator; PBS/C: Polarization beam splitter/combiner; MS: Mode stripper, MC: Mode convertor; BS: (free-space) beam splitter; BPF: Band pass filter; PD: Photo diode; ADC: analogue-to-digital convertor.

Fig. 2
Fig. 2

BER performance for 102-Gb/s CO-OFDM by using 4x4 ZF, 4x6 ZF, 4x6 MMSE, and 4x6 MMSE + SIC.

Fig. 3
Fig. 3

(a) BER performance comparison between systems I and II of 34-Gb/s CO-OFDM system. (b) comparison of 4x4 and 4x6 MIMO of 34-Gb/s CO-OFDM by using ZF, MMSE, and SIC. The MIMO size is 4x6 if not specified.

Fig. 4
Fig. 4

MDL in 4x4 and 4x6 MIMO for system I and system II.

Equations (6)

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y i k = j=1 N H ij k x j k + n i k (1iM)
W=pinv(H)={ ( H H H) 1 H H ifM>N H 1 ifN=M
x ^ =Wy
E{ ( Wyx ) H ( Wyx ) }
W= ( H H H+ I δ n 2 / δ s 2 ) 1 H H
y =y H 1:M,1:j1 x ^ 1:j1

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