Path-integral approach to mutual information calculation for nonlinear channel with small dispersion at large signal-to-noise ratio

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Path-integral approach to mutual information calculation for nonlinear channel with small dispersion at large signal-to-noise ratio. / Резниченко, Алексей Викторович ; Губа, Вячеслав Олегович.

In: Physical Review E, Vol. 6, No. 110, 064152, 30.12.2024.

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

BibTeX

@article{6e2b4847a0e04bbb96961cc1ead549dc,

title = "Path-integral approach to mutual information calculation for nonlinear channel with small dispersion at large signal-to-noise ratio",

abstract = "We consider the information fiber optical channel modeled by the nonlinear Schrodinger equation with additive Gaussian noise. Using path-integral approach and perturbation theory for the small dimensionless parameter of the second dispersion, we calculate the conditional probability density functional in the leading and next-to-leading order in the dimensionless second dispersion parameter associated with the input signal bandwidth. Taking into account the specific filtering of the output signal by the output signal receiver, we calculate the mutual information in the leading and next-to-leading order in the dispersion parameter and at large signal-to-noise ratio (SNR). Further, we find the explicit analytical expression for the mutual information in the case of the modified Gaussian input signal distribution taking into account the limited frequency bandwidth of the input signal. We explain the behavior of the mutual information as a function of the average input signal power and the input signal bandwidth in connection with the frequency broadening in the presence of small dispersion. ",

keywords = "Additive noise, Gaussian distribution, Nonlinear equations, Perturbation techniques, Probability density function, Signal to noise, Dispersion parameters, Large-signals, Mutual informations, Next-to-leading orders, Noise ratio, Output signal, Path integral approach, Signal bandwidth, Small dispersion",

author = "Резниченко, {Алексей Викторович} and Губа, {Вячеслав Олегович}",

year = "2024",

month = dec,

day = "30",

doi = "10.1103/PhysRevE.110.064152",

language = "English",

volume = "6",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "110",

}

RIS

TY - JOUR

T1 - Path-integral approach to mutual information calculation for nonlinear channel with small dispersion at large signal-to-noise ratio

AU - Резниченко, Алексей Викторович

AU - Губа, Вячеслав Олегович

PY - 2024/12/30

Y1 - 2024/12/30

N2 - We consider the information fiber optical channel modeled by the nonlinear Schrodinger equation with additive Gaussian noise. Using path-integral approach and perturbation theory for the small dimensionless parameter of the second dispersion, we calculate the conditional probability density functional in the leading and next-to-leading order in the dimensionless second dispersion parameter associated with the input signal bandwidth. Taking into account the specific filtering of the output signal by the output signal receiver, we calculate the mutual information in the leading and next-to-leading order in the dispersion parameter and at large signal-to-noise ratio (SNR). Further, we find the explicit analytical expression for the mutual information in the case of the modified Gaussian input signal distribution taking into account the limited frequency bandwidth of the input signal. We explain the behavior of the mutual information as a function of the average input signal power and the input signal bandwidth in connection with the frequency broadening in the presence of small dispersion.

AB - We consider the information fiber optical channel modeled by the nonlinear Schrodinger equation with additive Gaussian noise. Using path-integral approach and perturbation theory for the small dimensionless parameter of the second dispersion, we calculate the conditional probability density functional in the leading and next-to-leading order in the dimensionless second dispersion parameter associated with the input signal bandwidth. Taking into account the specific filtering of the output signal by the output signal receiver, we calculate the mutual information in the leading and next-to-leading order in the dispersion parameter and at large signal-to-noise ratio (SNR). Further, we find the explicit analytical expression for the mutual information in the case of the modified Gaussian input signal distribution taking into account the limited frequency bandwidth of the input signal. We explain the behavior of the mutual information as a function of the average input signal power and the input signal bandwidth in connection with the frequency broadening in the presence of small dispersion.

KW - Additive noise

KW - Gaussian distribution

KW - Nonlinear equations

KW - Perturbation techniques

KW - Probability density function

KW - Signal to noise

KW - Dispersion parameters

KW - Large-signals

KW - Mutual informations

KW - Next-to-leading orders

KW - Noise ratio

KW - Output signal

KW - Path integral approach

KW - Signal bandwidth

KW - Small dispersion

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85213849598&origin=inward&txGid=f053bb87ee0f41efb13007d46f8e41c9

U2 - 10.1103/PhysRevE.110.064152

DO - 10.1103/PhysRevE.110.064152

M3 - Article

VL - 6

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 110

M1 - 064152

ER -

ID: 61413308