Optimal input signal distribution and capacity for nondispersive nonlinear optical fiber channel at large signal to noise ratio

I. S. Terekhov, A. V. Reznichenko, S. K. Turitsyn

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider a model nondispersive nonlinear optical fiber channel with additive Gaussian noise at large SNR (signal-to-noise ratio) in the intermediate power region. Using Feynman path-integral technique we find the optimal input signal distribution maximizing the channel's per-sample mutual information. The finding of the optimal input signal distribution allows us to improve previously known estimates for the channel capacity. We show that in the intermediate power regime the per-sample mutual information for the optimal input signal distribution is greater than the per-sample mutual information for the Gaussian and half-Gaussian input signal distributions.

Original languageEnglish
Title of host publicationNonlinear Optics and its Applications 2018
PublisherSPIE
Volume10684
ISBN (Electronic)9781510618947
DOIs
Publication statusPublished - 14 May 2018
EventNonlinear Optics and its Applications 2018 - Strasbourg, France
Duration: 23 Apr 201825 Apr 2018

Publication series

NameProceedings of SPIE
PublisherSPIE
Volume10684
ISSN (Print)0277-786X

Conference

ConferenceNonlinear Optics and its Applications 2018
CountryFrance
CityStrasbourg
Period23/04/1825/04/18

Fingerprint

Channel capacity
Optical Fiber
Optical fibers
Signal to noise ratio
signal to noise ratios
optical fibers
Mutual Information
channel capacity
Feynman Path Integral
random noise
Channel Capacity
Gaussian Noise
estimates
Estimate

Bibliographical note

Copyright 2018 SPIE. One print or electronic copy may be made for personal use only. Systematic reproduction, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

Keywords

  • Channel capacity
  • Path-integral

Cite this

Terekhov, I. S., Reznichenko, A. V., & Turitsyn, S. K. (2018). Optimal input signal distribution and capacity for nondispersive nonlinear optical fiber channel at large signal to noise ratio. In Nonlinear Optics and its Applications 2018 (Vol. 10684). [106840W] (Proceedings of SPIE; Vol. 10684). SPIE. https://doi.org/10.1117/12.2307299
Terekhov, I. S. ; Reznichenko, A. V. ; Turitsyn, S. K. / Optimal input signal distribution and capacity for nondispersive nonlinear optical fiber channel at large signal to noise ratio. Nonlinear Optics and its Applications 2018. Vol. 10684 SPIE, 2018. (Proceedings of SPIE).
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Terekhov, IS, Reznichenko, AV & Turitsyn, SK 2018, Optimal input signal distribution and capacity for nondispersive nonlinear optical fiber channel at large signal to noise ratio. in Nonlinear Optics and its Applications 2018. vol. 10684, 106840W, Proceedings of SPIE, vol. 10684, SPIE, Nonlinear Optics and its Applications 2018, Strasbourg, France, 23/04/18. https://doi.org/10.1117/12.2307299

Optimal input signal distribution and capacity for nondispersive nonlinear optical fiber channel at large signal to noise ratio. / Terekhov, I. S.; Reznichenko, A. V.; Turitsyn, S. K.

Nonlinear Optics and its Applications 2018. Vol. 10684 SPIE, 2018. 106840W (Proceedings of SPIE; Vol. 10684).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - We consider a model nondispersive nonlinear optical fiber channel with additive Gaussian noise at large SNR (signal-to-noise ratio) in the intermediate power region. Using Feynman path-integral technique we find the optimal input signal distribution maximizing the channel's per-sample mutual information. The finding of the optimal input signal distribution allows us to improve previously known estimates for the channel capacity. We show that in the intermediate power regime the per-sample mutual information for the optimal input signal distribution is greater than the per-sample mutual information for the Gaussian and half-Gaussian input signal distributions.

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Terekhov IS, Reznichenko AV, Turitsyn SK. Optimal input signal distribution and capacity for nondispersive nonlinear optical fiber channel at large signal to noise ratio. In Nonlinear Optics and its Applications 2018. Vol. 10684. SPIE. 2018. 106840W. (Proceedings of SPIE). https://doi.org/10.1117/12.2307299