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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 13 — Jun. 20, 2011
  • pp: 12781–12788

Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise

Edouard Grellier and Alberto Bononi  »View Author Affiliations


Optics Express, Vol. 19, Issue 13, pp. 12781-12788 (2011)
http://dx.doi.org/10.1364/OE.19.012781


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Abstract

By assuming the nonlinear noise as a signal-independent circular Gaussian noise, a typical case in non-dispersion managed links with coherent multilevel modulation formats, we provide several analytical properties of a new quality parameter – playing the role of the signal to noise ratio (SNR) at the sampling gate in the coherent receiver – which carry over to the Q-factor versus power (or “bell”) curves. We show that the maximum Q is reached at an optimal power, the nonlinear threshold, at which the amplified spontaneous emission (ASE) noise power is twice the nonlinear noise power, and the SNR penalty with respect to linear propagation is 10 Log ( 3 2 ) 1.76 dB , , although the Q-penalty is somewhat larger and increases at lower Q-factors, as we verify for the polarization-division multiplexing quadrature phase shift keying (PDM-QPSK) format. As we vary the ASE power, the maxima of the SNR vs. power curves are shown to slide along a straight-line with slope ≃−2 dB/dB. A similar behavior is followed by the Q-factor maxima, although for PDM-QPSK the local slope is around −2.7 dB/dB for Q-values of practical interest.

© 2011 OSA

OCIS Codes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: February 28, 2011
Revised Manuscript: April 22, 2011
Manuscript Accepted: May 6, 2011
Published: June 17, 2011

Citation
Edouard Grellier and Alberto Bononi, "Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise," Opt. Express 19, 12781-12788 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-13-12781


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References

  1. In the following, we will call noise both the nonlinear perturbations coming from the same channel, which should more properly be called distortions, and cross-channel nonlinear perturbations.
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