Upper bound on the capacity of a cascade of nonlinear and noisy channels

Gerhard Kramer; Mansoor I. Yousefi; Frank R. Kschischang

doi:10.1109/ITW.2015.7133167

Upper bound on the capacity of a cascade of nonlinear and noisy channels

Gerhard Kramer, Mansoor I. Yousefi, Frank R. Kschischang

Chair of Communications Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

55 Scopus citations

Abstract

An upper bound on the capacity of a cascade of nonlinear and noisy channels is presented. The cascade mimics the split-step Fourier method for computing waveform propagation governed by the stochastic generalized nonlinear Schrödinger equation. It is shown that the spectral efficiency of the cascade is at most log(1+SNR), where SNR is the receiver signal-to-noise ratio. The results may be applied to optical fiber channels. However, the definition of bandwidth is subtle and leaves open interpretations of the bound. Some of these interpretations are discussed.

Original language	English
Title of host publication	2015 IEEE Information Theory Workshop, ITW 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479955268
DOIs	https://doi.org/10.1109/ITW.2015.7133167
State	Published - 24 Jun 2015
Event	2015 IEEE Information Theory Workshop, ITW 2015 - Jerusalem, Israel Duration: 26 Apr 2015 → 1 May 2015

Publication series

Name	2015 IEEE Information Theory Workshop, ITW 2015

Conference

Conference	2015 IEEE Information Theory Workshop, ITW 2015
Country/Territory	Israel
City	Jerusalem
Period	26/04/15 → 1/05/15

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10.1109/ITW.2015.7133167

Cite this

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title = "Upper bound on the capacity of a cascade of nonlinear and noisy channels",

abstract = "An upper bound on the capacity of a cascade of nonlinear and noisy channels is presented. The cascade mimics the split-step Fourier method for computing waveform propagation governed by the stochastic generalized nonlinear Schr{\"o}dinger equation. It is shown that the spectral efficiency of the cascade is at most log(1+SNR), where SNR is the receiver signal-to-noise ratio. The results may be applied to optical fiber channels. However, the definition of bandwidth is subtle and leaves open interpretations of the bound. Some of these interpretations are discussed.",

author = "Gerhard Kramer and Yousefi, {Mansoor I.} and Kschischang, {Frank R.}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 2015 IEEE Information Theory Workshop, ITW 2015 ; Conference date: 26-04-2015 Through 01-05-2015",

year = "2015",

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day = "24",

doi = "10.1109/ITW.2015.7133167",

language = "English",

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Kramer, G, Yousefi, MI & Kschischang, FR 2015, Upper bound on the capacity of a cascade of nonlinear and noisy channels. in 2015 IEEE Information Theory Workshop, ITW 2015., 7133167, 2015 IEEE Information Theory Workshop, ITW 2015, Institute of Electrical and Electronics Engineers Inc., 2015 IEEE Information Theory Workshop, ITW 2015, Jerusalem, Israel, 26/04/15. https://doi.org/10.1109/ITW.2015.7133167

Upper bound on the capacity of a cascade of nonlinear and noisy channels. / Kramer, Gerhard; Yousefi, Mansoor I.; Kschischang, Frank R.
2015 IEEE Information Theory Workshop, ITW 2015. Institute of Electrical and Electronics Engineers Inc., 2015. 7133167 (2015 IEEE Information Theory Workshop, ITW 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Upper bound on the capacity of a cascade of nonlinear and noisy channels

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