Abstract

We prove that, under certain conditions, the capacity of an optical communication channel with in-line, nonlinear filtering (regeneration) elements can be higher than the Shannon capacity for the corresponding linear Gaussian white noise channel.

© 2012 Optical Society of America

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  1. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).
  2. P. P. Mitra and J. B. Stark, Nature 411, 1027 (2001).
    [CrossRef]
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    [CrossRef]
  4. R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
    [CrossRef]
  5. A. D. Ellis, J. Zhao, and D. Cotter, J. Lightwave Technol. 28, 423 (2010).
    [CrossRef]
  6. D. J. Richardson, Science 330, 327 (2010).
    [CrossRef]
  7. R. Killey and C. Behrens, J. Mod. Opt. 58, 1 (2011).
    [CrossRef]
  8. A. Mecozzi and R.-J. Essiambre, J. Lightwave Technol. 30, 2011–2024 (2012).
    [CrossRef]
  9. E. Agrell, “The channel capacity increases with power,” http://arxiv.org/abs/1108.0391 (2011).
  10. K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
    [CrossRef]
  11. M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
    [CrossRef]
  12. T. Lakoba and M. Vasilyev, Opt. Express 15, 10061 (2007).
    [CrossRef]

2012 (1)

2011 (1)

R. Killey and C. Behrens, J. Mod. Opt. 58, 1 (2011).
[CrossRef]

2010 (2)

2008 (1)

R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
[CrossRef]

2007 (1)

2006 (1)

2003 (1)

K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
[CrossRef]

2001 (1)

P. P. Mitra and J. B. Stark, Nature 411, 1027 (2001).
[CrossRef]

1991 (1)

M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
[CrossRef]

1948 (1)

C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).

Agrell, E.

E. Agrell, “The channel capacity increases with power,” http://arxiv.org/abs/1108.0391 (2011).

Behrens, C.

R. Killey and C. Behrens, J. Mod. Opt. 58, 1 (2011).
[CrossRef]

Cotter, D.

Derevyanko, S.

K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
[CrossRef]

Desurvire, E.

Ellis, A. D.

Essiambre, R.-J.

A. Mecozzi and R.-J. Essiambre, J. Lightwave Technol. 30, 2011–2024 (2012).
[CrossRef]

R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
[CrossRef]

Foschini, G.

R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
[CrossRef]

Killey, R.

R. Killey and C. Behrens, J. Mod. Opt. 58, 1 (2011).
[CrossRef]

Kramer, G.

R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
[CrossRef]

Kubota, H.

M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
[CrossRef]

Lakoba, T.

Mecozzi, A.

Mitra, P. P.

P. P. Mitra and J. B. Stark, Nature 411, 1027 (2001).
[CrossRef]

Nakazawa, M.

M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
[CrossRef]

Richardson, D. J.

D. J. Richardson, Science 330, 327 (2010).
[CrossRef]

Shannon, C. E.

C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).

Stark, J. B.

P. P. Mitra and J. B. Stark, Nature 411, 1027 (2001).
[CrossRef]

Suzuki, K.

M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
[CrossRef]

Turitsyn, K.

K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
[CrossRef]

Turitsyn, S.

K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
[CrossRef]

Vasilyev, M.

Winzer, P.

R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
[CrossRef]

Yamada, E.

M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
[CrossRef]

Yurkevich, I.

K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
[CrossRef]

Zhao, J.

Bell Syst. Tech. J. (1)

C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).

Electron. Lett. (1)

M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27, 1270 (1991).
[CrossRef]

J. Lightwave Technol. (3)

J. Mod. Opt. (1)

R. Killey and C. Behrens, J. Mod. Opt. 58, 1 (2011).
[CrossRef]

Nature (1)

P. P. Mitra and J. B. Stark, Nature 411, 1027 (2001).
[CrossRef]

Opt. Express (1)

Phys. Rev. Lett. (2)

R.-J. Essiambre, G. Foschini, G. Kramer, and P. Winzer, Phys. Rev. Lett. 101 (2008).
[CrossRef]

K. Turitsyn, S. Derevyanko, I. Yurkevich, and S. Turitsyn, Phys. Rev. Lett. 91, 1 (2003).
[CrossRef]

Science (1)

D. J. Richardson, Science 330, 327 (2010).
[CrossRef]

Other (1)

E. Agrell, “The channel capacity increases with power,” http://arxiv.org/abs/1108.0391 (2011).

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