Abstract

Based on a recently introduced model of non-linear propagation, we propose analytical formulas for the capacity limit of polarization-multiplexed ultra-dense WDM uncompensated coherent optical systems at the Nyquist limit, assuming both lumped and ideally distributed amplification. According to these formulas, capacity fundamentally depends on the transmitted power spectral density and on the total optical WDM bandwidth, whereas it does not depend on symbol-rate. Also, capacity approximately decreases by 2 [bit/s/Hz] for every doubling of link length. We show examples of capacity calculations for specific ultra-long-haul links with different polarization-multiplexed (PM) constellations, i.e. ideal PM-Gaussian, PM-QPSK (quadrature-phase shift keying) and PM-QAM (quadrature amplitude modulation). We show that the launch power maximizing capacity is independent of link length and modulation format. We also discuss the usable range of PM-QAM systems and validate analysis with simulations.

© 2011 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
    [CrossRef]
  2. K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.
  3. A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
    [CrossRef]
  4. T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6
  5. J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.
  6. E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
    [CrossRef]
  7. P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature 411, 1027–1030 (2001).
    [CrossRef] [PubMed]
  8. J. Tang, “A comparison study of the Shannon channel capacity of various nonlinear optical fibers,” J. Lightw. Technol. 24, 2070–2075 (2006).
    [CrossRef]
  9. M. H. Taghavi, “On the multiuser capacity of WDM in a nonlinear optical fiber: coherent communication,” IEEE Trans. Inf. Theory 52, 5008–5022 (2006).
    [CrossRef]
  10. H. Haunstein and M. Mayrock, “OFDM spectral efficiency limits from fiber and system non-linearities,” Proc. Optical Fiber Communication Conference (2010), paper OThM7.
  11. A. D. Ellis, J. Zhao, and D. Cotter, “Approaching the non-linear Shannon limit,” J. Lightwave Technol. 28, 423–433 (2010).
    [CrossRef]
  12. R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightwave Technol. 28, 662–701 (2010).
    [CrossRef]
  13. P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
    [CrossRef]
  14. P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3
  15. A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.
  16. M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
    [CrossRef]
  17. B. Goebel, B. Fesl, L.D. Coelho, and N. Hanik, “On the effect of FWM in coherent optical OFDM systems,” Proc. Optical Fiber Communication Conference (2008), paper JWA58.
  18. X. Chen and W. Shieh, “Closed-form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express 18, 19039–19054 (2010).
    [CrossRef] [PubMed]
  19. H. Louchet, A. Hodzic, and K. Petermann, “Analytical model for the performance evaluation of DWDM transmission systems,” IEEE Photon. Technol. Lett. 15, 1219–1221 (2003).
    [CrossRef]
  20. E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.
  21. S. Benedetto and E. Biglieri, Principles of digital transmission: with wireless applications (New York: Kluwer, 1999).
  22. G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.
  23. A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
    [CrossRef]
  24. F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.
  25. C. E. Shannon, “A mathematical theory of communication,” Bell Syst. Tech. J. 27, 379–423 (1948).
  26. G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.
  27. A. Bononi and E. Grellier, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express 19, 12781–12788 (2011).
    [CrossRef] [PubMed]

2011 (5)

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

A. Bononi and E. Grellier, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express 19, 12781–12788 (2011).
[CrossRef] [PubMed]

2010 (4)

X. Chen and W. Shieh, “Closed-form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express 18, 19039–19054 (2010).
[CrossRef] [PubMed]

A. D. Ellis, J. Zhao, and D. Cotter, “Approaching the non-linear Shannon limit,” J. Lightwave Technol. 28, 423–433 (2010).
[CrossRef]

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightwave Technol. 28, 662–701 (2010).
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

2008 (1)

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

2006 (2)

J. Tang, “A comparison study of the Shannon channel capacity of various nonlinear optical fibers,” J. Lightw. Technol. 24, 2070–2075 (2006).
[CrossRef]

M. H. Taghavi, “On the multiuser capacity of WDM in a nonlinear optical fiber: coherent communication,” IEEE Trans. Inf. Theory 52, 5008–5022 (2006).
[CrossRef]

2003 (1)

H. Louchet, A. Hodzic, and K. Petermann, “Analytical model for the performance evaluation of DWDM transmission systems,” IEEE Photon. Technol. Lett. 15, 1219–1221 (2003).
[CrossRef]

2001 (1)

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature 411, 1027–1030 (2001).
[CrossRef] [PubMed]

1948 (1)

C. E. Shannon, “A mathematical theory of communication,” Bell Syst. Tech. J. 27, 379–423 (1948).

Abrate, S.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Alaimo, A.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Antona, J.-C.

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

Belmonte, M.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Benedetto, S.

S. Benedetto and E. Biglieri, Principles of digital transmission: with wireless applications (New York: Kluwer, 1999).

Bergano, N.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Bertran-Pardo, O.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Biglieri, E.

S. Benedetto and E. Biglieri, Principles of digital transmission: with wireless applications (New York: Kluwer, 1999).

Bigo, S.

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

Bononi, A.

A. Bononi and E. Grellier, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express 19, 12781–12788 (2011).
[CrossRef] [PubMed]

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

Bosco, G.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.

Brinciotti, A.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Buchali, F.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Cai, J.-X.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Cai, Y.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Carena, A.

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.

P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3

Chandrasekhar, S.

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

Charlet, G.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Chen, X.

Cho, P.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Cigliutti, R.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

Coelho, L.D.

B. Goebel, B. Fesl, L.D. Coelho, and N. Hanik, “On the effect of FWM in coherent optical OFDM systems,” Proc. Optical Fiber Communication Conference (2008), paper JWA58.

Cotter, D.

Curri, V.

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.

Davidson, C.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Ellis, A. D.

Essiambre, R.-J.

Fesl, B.

B. Goebel, B. Fesl, L.D. Coelho, and N. Hanik, “On the effect of FWM in coherent optical OFDM systems,” Proc. Optical Fiber Communication Conference (2008), paper JWA58.

Forghieri, F.

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.

Foschini, G. J.

Foursa, D.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Gavioli, G.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Gnauck, A. H.

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

Goebel, B.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightwave Technol. 28, 662–701 (2010).
[CrossRef]

B. Goebel, B. Fesl, L.D. Coelho, and N. Hanik, “On the effect of FWM in coherent optical OFDM systems,” Proc. Optical Fiber Communication Conference (2008), paper JWA58.

Grellier, E.

Hanik, N.

B. Goebel, B. Fesl, L.D. Coelho, and N. Hanik, “On the effect of FWM in coherent optical OFDM systems,” Proc. Optical Fiber Communication Conference (2008), paper JWA58.

Haunstein, H.

H. Haunstein and M. Mayrock, “OFDM spectral efficiency limits from fiber and system non-linearities,” Proc. Optical Fiber Communication Conference (2010), paper OThM7.

Hodzic, A.

H. Louchet, A. Hodzic, and K. Petermann, “Analytical model for the performance evaluation of DWDM transmission systems,” IEEE Photon. Technol. Lett. 15, 1219–1221 (2003).
[CrossRef]

Ishihara, K.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Karagodsky, V.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Khurgin, J.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Kobayashi, T.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Kramer, G.

Kubota, H.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

La Porta, A.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Lach, E.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Liu, X.

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

Lorcy, L.

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

Louchet, H.

H. Louchet, A. Hodzic, and K. Petermann, “Analytical model for the performance evaluation of DWDM transmission systems,” IEEE Photon. Technol. Lett. 15, 1219–1221 (2003).
[CrossRef]

Lucero, A.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Mardoyan, H.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Matsui, M.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Matsuura, A.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Mayrock, M.

H. Haunstein and M. Mayrock, “OFDM spectral efficiency limits from fiber and system non-linearities,” Proc. Optical Fiber Communication Conference (2010), paper OThM7.

Meiman, Y.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Mitra, P. P.

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature 411, 1027–1030 (2001).
[CrossRef] [PubMed]

Miyamoto, Y.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Mizoguchi, M.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Mizuno, T.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Mohs, G.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Nagatani, M.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Nazarathy, M.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Nespola, A.

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

Noe, R.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Patterson, W.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Peckham, D. W.

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

Petermann, K.

H. Louchet, A. Hodzic, and K. Petermann, “Analytical model for the performance evaluation of DWDM transmission systems,” IEEE Photon. Technol. Lett. 15, 1219–1221 (2003).
[CrossRef]

Piciaccia, S.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Pilipetskii, A.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Poggiolini, P.

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.

Renaudier, J.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Roesener, D.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Sakano, T.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Sano, A.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Schuh, K.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Shannon, C. E.

C. E. Shannon, “A mathematical theory of communication,” Bell Syst. Tech. J. 27, 379–423 (1948).

Shieh, W.

Shpantzer, I.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Simonneau1, C.

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

Sinkin, O.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Stark, J. B.

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature 411, 1027–1030 (2001).
[CrossRef] [PubMed]

Taghavi, M. H.

M. H. Taghavi, “On the multiuser capacity of WDM in a nonlinear optical fiber: coherent communication,” IEEE Trans. Inf. Theory 52, 5008–5022 (2006).
[CrossRef]

Tang, J.

J. Tang, “A comparison study of the Shannon channel capacity of various nonlinear optical fibers,” J. Lightw. Technol. 24, 2070–2075 (2006).
[CrossRef]

Tapia Taiba, M.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

Torrengo, E.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

Tran, P.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

Vacondio, F.

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

Weidenfeld, R.

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express 15, 15777–15810 (2008).
[CrossRef]

Winzer, P. J.

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightwave Technol. 28, 662–701 (2010).
[CrossRef]

Yamamoto, S.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Yamanaka, S.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Yoshida, E.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

Yoshida, M.

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

Zeolla, D.

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

Zhang, H.

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

Zhao, J.

Zhu, B.

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

Bell Syst. Tech. J. (1)

C. E. Shannon, “A mathematical theory of communication,” Bell Syst. Tech. J. 27, 379–423 (1948).

IEEE Photon. Technol. Lett. (2)

H. Louchet, A. Hodzic, and K. Petermann, “Analytical model for the performance evaluation of DWDM transmission systems,” IEEE Photon. Technol. Lett. 15, 1219–1221 (2003).
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett. 23, 742–744 (2011).
[CrossRef]

IEEE Trans. Inf. Theory (1)

M. H. Taghavi, “On the multiuser capacity of WDM in a nonlinear optical fiber: coherent communication,” IEEE Trans. Inf. Theory 52, 5008–5022 (2006).
[CrossRef]

J. Lightw. Technol. (2)

A. H. Gnauck, P. J. Winzer, S. Chandrasekhar, X. Liu, B. Zhu, and D. W. Peckham, “Spectrally efficient long-haul WDM transmission using 224-Gb/s polarization-multiplexed 16-QAM,” J. Lightw. Technol. 29, 373–377 (2011).
[CrossRef]

J. Tang, “A comparison study of the Shannon channel capacity of various nonlinear optical fibers,” J. Lightw. Technol. 24, 2070–2075 (2006).
[CrossRef]

J. Lightwave Technol. (2)

Nature (1)

P. P. Mitra and J. B. Stark, “Nonlinear limits to the information capacity of optical fibre communications,” Nature 411, 1027–1030 (2001).
[CrossRef] [PubMed]

Opt. Express (3)

Proc. European Conference on Optical Communication (2)

G. Bosco, P. Poggiolini, A. Carena, V. Curri, and F. Forghieri, “Analytical results on channel capacity in uncompensated optical links with coherent detection,” Proc. European Conference on Optical Communication (2011), paper We.7.B.3.

E. Torrengo, R. Cigliutti, G. Bosco, G. Gavioli, A. Alaimo, A. Carena, V. Curri, F. Forghieri, S. Piciaccia, M. Belmonte, A. Brinciotti, A. La Porta, S. Abrate, and P. Poggiolini, “Transoceanic PM-QPSK Terabit superchannel transmission experiments at baud-rate subcarrier spacing,” Proc. European Conference on Optical Communication (2010), paper We.7.C.2.
[CrossRef]

Proc. Optical Fiber Communication Conference (1)

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri,“Performance prediction for WDM PM-QPSK transmission over uncompensated links,” Proc. Optical Fiber Communication Conference (2011), paper OThO7.

Other (12)

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” Proc. European Conference on Optical Communication (2010), paper P4.07.
[CrossRef]

F. Vacondio, C. Simonneau1, L. Lorcy, J.-C. Antona, A. Bononi, and S. Bigo, “Experimental characterization of Gaussian-distributed nonlinear distortions,” Proc. European Conference on Optical Communication (2011), paper We.7.B.1.

E. Torrengo, R. Cigliutti, G. Bosco, A. Carena, V. Curri, P. Poggiolini, A. Nespola, D. Zeolla, and F. Forghieri,“Experimental validation of an analytical model for nonlinear propagation in uncompensated pptical links,” Proc. European Conference on Optical Communication (2011), paper We.7.B.2.

S. Benedetto and E. Biglieri, Principles of digital transmission: with wireless applications (New York: Kluwer, 1999).

H. Haunstein and M. Mayrock, “OFDM spectral efficiency limits from fiber and system non-linearities,” Proc. Optical Fiber Communication Conference (2010), paper OThM7.

K. Schuh, F. Buchali, D. Roesener, E. Lach, O. Bertran-Pardo, J. Renaudier, G. Charlet, H. Mardoyan, and P. Tran, “15.4 Tb/s transmission over 2400 km using polarization multiplexed 32-Gbaud 16-QAM modulation and coherent detection comprising digital signal processing,” Proc. European Conference on Optical Communication (2011), paper We.8.B.4.

A. Sano, T. Kobayashi, A. Matsuura, S. Yamamoto, S. Yamanaka, E. Yoshida, Y. Miyamoto, M. Matsui, M. Mizoguchi, and T. Mizuno, “100x120 Gb/s PDM 64 QAM transmission over 160 km using linewidth-tolerant pilotless digital coherent detection,” Proc. European Conference on Optical Communication (2010), paper PD2.2
[CrossRef]

T. Kobayashi, A. Sano, A. Matsuura, M. Yoshida, T. Sakano, H. Kubota, Y. Miyamoto, K. Ishihara, M. Mizoguchi, and M. Nagatani, “45.2Tb/s C-band WDM transmission over 240km using 538Gb/s PDM-64QAM single carrier FDM signal with digital pilot tone,” Proc. European Conference on Optical Communication (2011), PD paper Th.13.C.6

J.-X. Cai, Y. Cai, C. Davidson, A. Lucero, H. Zhang, D. Foursa, O. Sinkin, W. Patterson, A. Pilipetskii, G. Mohs, and N. Bergano, “20 Tbit/s capacity transmission over 6,860 km,” Proc. Optical Fiber Communication Conference (2011), paper PDPB4.

B. Goebel, B. Fesl, L.D. Coelho, and N. Hanik, “On the effect of FWM in coherent optical OFDM systems,” Proc. Optical Fiber Communication Conference (2008), paper JWA58.

P. Poggiolini, G. Bosco, A. Carena, V. Curri, and F. Forghieri, “A simple and accurate model for non-linear propagation effects in uncompensated coherent transmission links,” Proc. International Conference on Transparent Optical Networks (2011), paper We.B1.3

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-linear propagation effects in uncompensated optical coherent transmission links,” submitted to IEEE J. Lightwave Technol.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Capacity limit vs. launch power per channel at different system lengths with ideal distributed-amplification (a) and EDFA amplification with F=5 dB, Ls=100 km (b). Assumptions: UT and PM-Gaussian constellation, 125 channels at 32 GBaud, channel spacing equal to symbol-rate, resulting in a total optical bandwidth of 4 THz. Dashed lines: Shannon limit - Eq. (7). Solid lines: non-linear capacity limit - Eq. (9),(10).

Fig. 3
Fig. 3

Maximum capacity vs. transmission distance, over SSMF with span length 100 km and EDFA noise Fig. 5 dB. Solid curves: soft decision. Dashed curved: hard decision. WDM transmission over the whole C-band at the Nyquist limit (total optical bandwidth BWDM=4 THz, symbol-rate spacing, rectangular spectra).

Fig. 2
Fig. 2

Capacity vs. launch power spectral density after 1000 km (a–c) and 5000 km (b–d) over SSMF with span length 100 km. WDM transmission over the whole C-band (BWDM=4 THz) at the Nyquist limit (rectangular spectra with spacing Δf = Rs). Markers: curve maxima.

Fig. 4
Fig. 4

Maximum hard-decision capacity vs. transmission distance for 11 channels at 32 Gbaud and 50 GHz spacing over SSMF with span length 100 km and EDFA noise figure 5 dB. Solid curves: analytical prediction. Dots: simulations.

Fig. 5
Fig. 5

Maximum capacity vs. transmission distance, over PSCF with span length 50 km and EDFA noise figure 5 dB. Solid curves: soft decision. Dashed curved: hard decision. WDM transmission over the whole C-band at the Nyquist limit (total optical bandwidth BWDM=4 THz, symbol-rate spacing, rectangular spectra).

Tables (1)

Tables Icon

Table 1 Raw (pre-FEC) BER values corresponding to the maximum capacity points (diamond markers in Fig. 2).

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

OSNR NL = P Tx , ch P ASE + P NLI
P NLI = G NLI B n
P NLI EDFA ( 2 3 ) 3 N s γ 2 L eff P Tx , ch 3 ln ( π 2 | β 2 | L eff N ch 2 R s 2 ) π | β 2 | R s 3 B n
P NLI DA ( 2 3 ) 3 γ 2 L tot P Tx , ch 3 ln ( π 2 | β 2 | L tot N ch 2 R s 2 ) π | β 2 | R s 3 B n
P ASE EDFA = N s F ( e 2 α L s 1 ) h ν B n
P ASE DA = 4 α L tot h ν K T B n
C = 2 R s Δ f log 2 ( 1 + SNR ) [ bit / symbol ]
SNR = B n R s OSNR NL .
C EDFA = 2 log 2 ( 1 + G T x N s ( a + b G T x 3 ) )
C DA = 2 log 2 ( 1 + G T x L tot ( c + d G T x 3 ) )
a = ( e 2 α L s 1 ) F h ν , b = ( 2 3 ) 3 γ 2 L eff ln ( π 2 | β 2 | L eff B WDM 2 ) π | β 2 | c = 4 α h ν K T , d = ( 2 3 ) 3 γ 2 ln ( π 2 | β 2 | L tot B WDM 2 ) π | β 2 |
C max EDFA = 2 log 2 ( 1 + 2 1 3 N s [ ( e 2 α L s 1 ) F h ν ] 2 3 [ γ 2 L eff ln ( π 2 | β 2 | L eff B W D M 2 ) ] 1 3 )
C max DA = 2 log 2 ( 1 + 2 1 3 L tot [ 4 α h ν K T ] 2 3 [ γ 2 ln ( π 2 | β 2 | L tot B W D M 2 ) ] 1 3 )
C max EDFA 2 log 2 ( N s ) , C max DA 2 log 2 ( L tot )
C hard = 2 R s Δ f 1 M a X , b Y P Y | X ( b | a ) log 2 P Y | X ( b | a ) P Y ( b )
C soft = 2 R s Δ f 1 M a X p Y | X ( y | a ) log 2 p Y | X ( y | a ) p Y ( y )
G Tx , opt E D F A = ( a 2 b ) 1 3 = 3 2 4 / 3 ( ( e 2 α L s 1 ) F h ν π | β 2 | γ 2 L eff ln ( π 2 | β 2 | L eff B WDM 2 ) ) 1 3
G Tx , opt DA = ( c 2 d ) 1 3 = 3 2 4 / 3 ( 4 α L tot h ν K T π | β 2 | γ 2 L tot ln ( π 2 | β 2 | L tot B WDM 2 ) ) 1 3

Metrics