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Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range : Extension of the model. / Reznichenko, A. V.; Chernykh, A. I.; Smirnov, S. V. et al.

In: Physical Review E, Vol. 99, No. 1, 012133, 17.01.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Reznichenko, AV, Chernykh, AI, Smirnov, SV & Terekhov, IS 2019, 'Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range: Extension of the model', Physical Review E, vol. 99, no. 1, 012133. https://doi.org/10.1103/PhysRevE.99.012133

APA

Reznichenko, A. V., Chernykh, A. I., Smirnov, S. V., & Terekhov, I. S. (2019). Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range: Extension of the model. Physical Review E, 99(1), [012133]. https://doi.org/10.1103/PhysRevE.99.012133

Vancouver

Reznichenko AV, Chernykh AI, Smirnov SV, Terekhov IS. Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range: Extension of the model. Physical Review E. 2019 Jan 17;99(1):012133. doi: 10.1103/PhysRevE.99.012133

Author

Reznichenko, A. V. ; Chernykh, A. I. ; Smirnov, S. V. et al. / Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range : Extension of the model. In: Physical Review E. 2019 ; Vol. 99, No. 1.

BibTeX

@article{eca733b8b06c4adf85f0966f0cfc4f83,
title = "Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range: Extension of the model",
abstract = "In our previous paper [Terekhov et al., Phys. Rev. E 95, 062133 (2017)2470-004510.1103/PhysRevE.95.062133] we considered the optical channel modeled by the nonlinear Schr{\"o}dinger equation with zero dispersion and additive Gaussian noise. We found per-sample channel capacity for this model. In the present paper we extend the per-sample channel model by introducing the initial signal dependence on time and the output signal detection procedure. The proposed model is a closer approximation of the realistic communications link than the per-sample model where there is no dependence of the initial signal on time. For the proposed model we found the correlators of the output signal both analytically and numerically. Using these correlators we built the conditional probability density function. Then we calculated an entropy of the output signal, a conditional entropy, and the mutual information. Maximizing the mutual information we found the optimal input signal distribution, channel capacity, and their dependence on the shape of the initial signal in the time domain for the intermediate power range.",
keywords = "LIMITS",
author = "Reznichenko, {A. V.} and Chernykh, {A. I.} and Smirnov, {S. V.} and Terekhov, {I. S.}",
note = "Publisher Copyright: {\textcopyright} 2019 American Physical Society.",
year = "2019",
month = jan,
day = "17",
doi = "10.1103/PhysRevE.99.012133",
language = "English",
volume = "99",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Log-log growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range

T2 - Extension of the model

AU - Reznichenko, A. V.

AU - Chernykh, A. I.

AU - Smirnov, S. V.

AU - Terekhov, I. S.

N1 - Publisher Copyright: © 2019 American Physical Society.

PY - 2019/1/17

Y1 - 2019/1/17

N2 - In our previous paper [Terekhov et al., Phys. Rev. E 95, 062133 (2017)2470-004510.1103/PhysRevE.95.062133] we considered the optical channel modeled by the nonlinear Schrödinger equation with zero dispersion and additive Gaussian noise. We found per-sample channel capacity for this model. In the present paper we extend the per-sample channel model by introducing the initial signal dependence on time and the output signal detection procedure. The proposed model is a closer approximation of the realistic communications link than the per-sample model where there is no dependence of the initial signal on time. For the proposed model we found the correlators of the output signal both analytically and numerically. Using these correlators we built the conditional probability density function. Then we calculated an entropy of the output signal, a conditional entropy, and the mutual information. Maximizing the mutual information we found the optimal input signal distribution, channel capacity, and their dependence on the shape of the initial signal in the time domain for the intermediate power range.

AB - In our previous paper [Terekhov et al., Phys. Rev. E 95, 062133 (2017)2470-004510.1103/PhysRevE.95.062133] we considered the optical channel modeled by the nonlinear Schrödinger equation with zero dispersion and additive Gaussian noise. We found per-sample channel capacity for this model. In the present paper we extend the per-sample channel model by introducing the initial signal dependence on time and the output signal detection procedure. The proposed model is a closer approximation of the realistic communications link than the per-sample model where there is no dependence of the initial signal on time. For the proposed model we found the correlators of the output signal both analytically and numerically. Using these correlators we built the conditional probability density function. Then we calculated an entropy of the output signal, a conditional entropy, and the mutual information. Maximizing the mutual information we found the optimal input signal distribution, channel capacity, and their dependence on the shape of the initial signal in the time domain for the intermediate power range.

KW - LIMITS

UR - http://www.scopus.com/inward/record.url?scp=85060132046&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.99.012133

DO - 10.1103/PhysRevE.99.012133

M3 - Article

C2 - 30780253

AN - SCOPUS:85060132046

VL - 99

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012133

ER -

ID: 18291747