Optimal Shaping Gains for Continuous Spectrum Nonlinear Frequency Signalling Over Long Fibers

Yu Chen; Amin Baniasadi; Majid Safari

doi:10.1109/ISIT50566.2022.9834519

Optimal Shaping Gains for Continuous Spectrum Nonlinear Frequency Signalling Over Long Fibers

Yu Chen, Amin Baniasadi, Majid Safari

School of Engineering

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

Abstract / Description of output

An approximated channel model is proposed for signalling on the continuous spectrum of a nonlinear frequency division multiplexing communication system, describing the effect of noise and nonlinearity at the receiver. The optimal input distribution that maximizes the mutual information of the proposed approximated channel under peak amplitude constraint is then studied. We show that, considering the input-dependency of noise, the conventional amplitude-constrained constellation designs can be shaped geometrically to show significant mutual information gains. However, it is observed that further probabilistic shaping and input distribution size optimization can only provide limited additional gains beyond the best geometrically shaped benchmark scheme, i.e., 64 Amplitude Phase Shift Keying.

Original language	English
Title of host publication	2022 IEEE International Symposium on Information Theory (ISIT)
Publisher	Institute of Electrical and Electronics Engineers
Pages	1927-1932
ISBN (Electronic)	978-1-6654-2159-1
DOIs	https://doi.org/10.1109/ISIT50566.2022.9834519
Publication status	E-pub ahead of print - 3 Aug 2022
Event	IEEE International Symposium on Information Theory, ISIT 2022 - Aalto University, Espoo, Finland Duration: 26 Jun 2022 → 1 Jul 2022 https://www.isit2022.org/

Conference

Conference	IEEE International Symposium on Information Theory, ISIT 2022
Abbreviated title	ISIT 2022
Country/Territory	Finland
City	Espoo
Period	26/06/22 → 1/07/22
Internet address	https://www.isit2022.org/

Keywords / Materials (for Non-textual outputs)

Continuous Spectrum
Geometric Shaping
Nonlinear Frequency Division Multiplexing
Probabilistic Shaping

Access to Document

10.1109/ISIT50566.2022.9834519

Cite this

@inproceedings{45e7a74c94a64063a5e78aa4923275c5,

title = "Optimal Shaping Gains for Continuous Spectrum Nonlinear Frequency Signalling Over Long Fibers",

abstract = "An approximated channel model is proposed for signalling on the continuous spectrum of a nonlinear frequency division multiplexing communication system, describing the effect of noise and nonlinearity at the receiver. The optimal input distribution that maximizes the mutual information of the proposed approximated channel under peak amplitude constraint is then studied. We show that, considering the input-dependency of noise, the conventional amplitude-constrained constellation designs can be shaped geometrically to show significant mutual information gains. However, it is observed that further probabilistic shaping and input distribution size optimization can only provide limited additional gains beyond the best geometrically shaped benchmark scheme, i.e., 64 Amplitude Phase Shift Keying.",

keywords = "Continuous Spectrum, Geometric Shaping, Nonlinear Frequency Division Multiplexing, Probabilistic Shaping",

author = "Yu Chen and Amin Baniasadi and Majid Safari",

note = "Funding Information: Research supported by China Scholarship Council, China and Leverhulme Trust, UK. Publisher Copyright: {\textcopyright} 2022 IEEE.; IEEE International Symposium on Information Theory, ISIT 2022, ISIT 2022 ; Conference date: 26-06-2022 Through 01-07-2022",

year = "2022",

month = aug,

day = "3",

doi = "10.1109/ISIT50566.2022.9834519",

language = "English",

pages = "1927--1932",

booktitle = "2022 IEEE International Symposium on Information Theory (ISIT)",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

url = "https://www.isit2022.org/",

}

Chen, Y, Baniasadi, A & Safari, M 2022, Optimal Shaping Gains for Continuous Spectrum Nonlinear Frequency Signalling Over Long Fibers. in 2022 IEEE International Symposium on Information Theory (ISIT). Institute of Electrical and Electronics Engineers, pp. 1927-1932, IEEE International Symposium on Information Theory, ISIT 2022, Espoo, Finland, 26/06/22. https://doi.org/10.1109/ISIT50566.2022.9834519

TY - GEN

T1 - Optimal Shaping Gains for Continuous Spectrum Nonlinear Frequency Signalling Over Long Fibers

AU - Chen, Yu

AU - Baniasadi, Amin

AU - Safari, Majid

PY - 2022/8/3

Y1 - 2022/8/3

N2 - An approximated channel model is proposed for signalling on the continuous spectrum of a nonlinear frequency division multiplexing communication system, describing the effect of noise and nonlinearity at the receiver. The optimal input distribution that maximizes the mutual information of the proposed approximated channel under peak amplitude constraint is then studied. We show that, considering the input-dependency of noise, the conventional amplitude-constrained constellation designs can be shaped geometrically to show significant mutual information gains. However, it is observed that further probabilistic shaping and input distribution size optimization can only provide limited additional gains beyond the best geometrically shaped benchmark scheme, i.e., 64 Amplitude Phase Shift Keying.

AB - An approximated channel model is proposed for signalling on the continuous spectrum of a nonlinear frequency division multiplexing communication system, describing the effect of noise and nonlinearity at the receiver. The optimal input distribution that maximizes the mutual information of the proposed approximated channel under peak amplitude constraint is then studied. We show that, considering the input-dependency of noise, the conventional amplitude-constrained constellation designs can be shaped geometrically to show significant mutual information gains. However, it is observed that further probabilistic shaping and input distribution size optimization can only provide limited additional gains beyond the best geometrically shaped benchmark scheme, i.e., 64 Amplitude Phase Shift Keying.

KW - Continuous Spectrum

KW - Geometric Shaping

KW - Nonlinear Frequency Division Multiplexing

KW - Probabilistic Shaping

U2 - 10.1109/ISIT50566.2022.9834519

DO - 10.1109/ISIT50566.2022.9834519

M3 - Conference contribution

SP - 1927

EP - 1932

BT - 2022 IEEE International Symposium on Information Theory (ISIT)

PB - Institute of Electrical and Electronics Engineers

T2 - IEEE International Symposium on Information Theory, ISIT 2022

Y2 - 26 June 2022 through 1 July 2022

ER -

Optimal Shaping Gains for Continuous Spectrum Nonlinear Frequency Signalling Over Long Fibers

Abstract / Description of output

Conference

Keywords / Materials (for Non-textual outputs)

Access to Document

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Cite this