A Lower Bound on the Capacity of b-Modulated NFDM Systems

Amin Baniasadi; Yu Chen; Alex Dytso; Luca  Barletta; Majid Safari

doi:10.1109/GLOBECOM54140.2023.10437446

A Lower Bound on the Capacity of b-Modulated NFDM Systems

Amin Baniasadi, Yu Chen, Alex Dytso, Luca Barletta, Majid Safari

School of Engineering

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

Abstract

In this paper, we investigate the capacity of the b-modulated nonlinear frequency division multiplexing (NFDM) systems. Recently, a tractable channel model was proposed for such optical fiber communication systems, describing the
received b-modulated signal by an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity achieving input distribution has discrete amplitude, uniform independent phase (DAUIP). Noting that this distribution is supported on a finite number of concentric shells, we find a lower bound for the capacity by assuming a single shell support. The corresponding output distribution and mutual information expressions are derived in closed-form.

Original language	English
Title of host publication	GLOBECOM 2023 - 2023 IEEE Global Communications Conference
Publisher	Institute of Electrical and Electronics Engineers
Pages	4399-4404
Number of pages	6
DOIs	https://doi.org/10.1109/GLOBECOM54140.2023.10437446
Publication status	E-pub ahead of print - 26 Feb 2024
Event	GLOBECOM 2023 - 2023 IEEE Global Communications Conference - Kuala Lumpur, Malaysia Duration: 4 Dec 2023 → 8 Dec 2023

Conference

Conference	GLOBECOM 2023 - 2023 IEEE Global Communications Conference
Country/Territory	Malaysia
City	Kuala Lumpur
Period	4/12/23 → 8/12/23

Keywords / Materials (for Non-textual outputs)

Optical fiber communication
Nonlinear Fourier Transform (NFT)
optical fiber capacity
b-modulation
input-dependent noise channel
Nonlinear Frequency Division Multiplexing (NFDM)

Access to Document

10.1109/GLOBECOM54140.2023.10437446

GLOBECOM_2023_AminAccepted author manuscript, 393 KBLicence: Creative Commons: Attribution (CC-BY)

Shannon Meets Schrödinger: Communication Theory for a Nonlinear Channel
Safari, M.
Other
1/10/20 → 30/09/23
Project: Research

Cite this

@inproceedings{f0bce4dea2ea4a13a29f515e8faf8b37,

title = "A Lower Bound on the Capacity of b-Modulated NFDM Systems",

abstract = "In this paper, we investigate the capacity of the b-modulated nonlinear frequency division multiplexing (NFDM) systems. Recently, a tractable channel model was proposed for such optical fiber communication systems, describing thereceived b-modulated signal by an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity achieving input distribution has discrete amplitude, uniform independent phase (DAUIP). Noting that this distribution is supported on a finite number of concentric shells, we find a lower bound for the capacity by assuming a single shell support. The corresponding output distribution and mutual information expressions are derived in closed-form.",

keywords = "Optical fiber communication, Nonlinear Fourier Transform (NFT), optical fiber capacity, b-modulation, input-dependent noise channel, Nonlinear Frequency Division Multiplexing (NFDM)",

author = "Amin Baniasadi and Yu Chen and Alex Dytso and Luca Barletta and Majid Safari",

note = "Funding Information: Research supported by China Scholarship Council, China and Leverhulme Trust, UK. Publisher Copyright: {\textcopyright} 2023 IEEE.; GLOBECOM 2023 - 2023 IEEE Global Communications Conference ; Conference date: 04-12-2023 Through 08-12-2023",

year = "2024",

month = feb,

day = "26",

doi = "10.1109/GLOBECOM54140.2023.10437446",

language = "English",

pages = "4399--4404",

booktitle = "GLOBECOM 2023 - 2023 IEEE Global Communications Conference",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

}

Baniasadi, A, Chen, Y, Dytso, A, Barletta, L & Safari, M 2024, A Lower Bound on the Capacity of b-Modulated NFDM Systems. in GLOBECOM 2023 - 2023 IEEE Global Communications Conference. Institute of Electrical and Electronics Engineers, pp. 4399-4404, GLOBECOM 2023 - 2023 IEEE Global Communications Conference, Kuala Lumpur, Malaysia, 4/12/23. https://doi.org/10.1109/GLOBECOM54140.2023.10437446

TY - GEN

T1 - A Lower Bound on the Capacity of b-Modulated NFDM Systems

AU - Baniasadi, Amin

AU - Chen, Yu

AU - Dytso, Alex

AU - Barletta, Luca

AU - Safari, Majid

PY - 2024/2/26

Y1 - 2024/2/26

N2 - In this paper, we investigate the capacity of the b-modulated nonlinear frequency division multiplexing (NFDM) systems. Recently, a tractable channel model was proposed for such optical fiber communication systems, describing thereceived b-modulated signal by an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity achieving input distribution has discrete amplitude, uniform independent phase (DAUIP). Noting that this distribution is supported on a finite number of concentric shells, we find a lower bound for the capacity by assuming a single shell support. The corresponding output distribution and mutual information expressions are derived in closed-form.

AB - In this paper, we investigate the capacity of the b-modulated nonlinear frequency division multiplexing (NFDM) systems. Recently, a tractable channel model was proposed for such optical fiber communication systems, describing thereceived b-modulated signal by an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity achieving input distribution has discrete amplitude, uniform independent phase (DAUIP). Noting that this distribution is supported on a finite number of concentric shells, we find a lower bound for the capacity by assuming a single shell support. The corresponding output distribution and mutual information expressions are derived in closed-form.

KW - Optical fiber communication

KW - Nonlinear Fourier Transform (NFT)

KW - optical fiber capacity

KW - b-modulation

KW - input-dependent noise channel

KW - Nonlinear Frequency Division Multiplexing (NFDM)

U2 - 10.1109/GLOBECOM54140.2023.10437446

DO - 10.1109/GLOBECOM54140.2023.10437446

M3 - Conference contribution

SP - 4399

EP - 4404

BT - GLOBECOM 2023 - 2023 IEEE Global Communications Conference

PB - Institute of Electrical and Electronics Engineers

T2 - GLOBECOM 2023 - 2023 IEEE Global Communications Conference

Y2 - 4 December 2023 through 8 December 2023

ER -

A Lower Bound on the Capacity of b-Modulated NFDM Systems

Abstract

Conference

Keywords / Materials (for Non-textual outputs)

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Projects

Shannon Meets Schrödinger: Communication Theory for a Nonlinear Channel

Cite this