On the Capacity of b-Modulated Nonlinear Frequency Division Multiplexing

Amin Baniasadi; Yu Chen; Majid Safari

doi:10.1109/ISIT50566.2022.9834436

On the Capacity of b-Modulated Nonlinear Frequency Division Multiplexing

Amin Baniasadi, Yu Chen, 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 continuous spectrum of nonlinear frequency division multiplexing (NFDM) systems when data is encoded using b-modulation. Recently, a tractable channel model is proposed for such optical fiber communication systems, describing the received b-modulated signal with an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity-achieving distribution is unique and discrete. A search algorithm is proposed to determine the optimal discrete input distribution that maximizes the mutual information. The numerical results show that the optimal input distributions form ring-based constellations. We compare these optimal designs with some conventional ring-based amplitude and phase shift keying (APSK) modulation schemes including 16 APSK, 32 APSK and 64 APSK, to show the achievable performance gains.

Original language	English
Title of host publication	2022 IEEE International Symposium on Information Theory (ISIT)
Publisher	IEEE Xplore
ISBN (Electronic)	978-1-6654-2159-1
ISBN (Print)	978-1-6654-2159-1
DOIs	https://doi.org/10.1109/ISIT50566.2022.9834436
Publication status	Published - 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/

Publication series

Name	IEEE International Symposium on Information Theory (ISIT)
Publisher	IEEE
ISSN (Print)	2157-8095
ISSN (Electronic)	2157-8117

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/

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10.1109/ISIT50566.2022.9834436

Cite this

@inproceedings{66ff147b0e0b4d0bbce13462009a85b3,

title = "On the Capacity of b-Modulated Nonlinear Frequency Division Multiplexing",

abstract = "In this paper, we investigate the capacity of the continuous spectrum of nonlinear frequency division multiplexing (NFDM) systems when data is encoded using b-modulation. Recently, a tractable channel model is proposed for such optical fiber communication systems, describing the received b-modulated signal with an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity-achieving distribution is unique and discrete. A search algorithm is proposed to determine the optimal discrete input distribution that maximizes the mutual information. The numerical results show that the optimal input distributions form ring-based constellations. We compare these optimal designs with some conventional ring-based amplitude and phase shift keying (APSK) modulation schemes including 16 APSK, 32 APSK and 64 APSK, to show the achievable performance gains.",

author = "Amin Baniasadi and Yu Chen 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/ISIT50566.2022.9834436",

language = "English",

isbn = "978-1-6654-2159-1",

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

publisher = "IEEE Xplore",

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

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

}

Baniasadi, A, Chen, Y & Safari, M 2022, On the Capacity of b-Modulated Nonlinear Frequency Division Multiplexing. in 2022 IEEE International Symposium on Information Theory (ISIT). IEEE International Symposium on Information Theory (ISIT), IEEE Xplore, IEEE International Symposium on Information Theory, ISIT 2022, Espoo, Finland, 26/06/22. https://doi.org/10.1109/ISIT50566.2022.9834436

TY - GEN

T1 - On the Capacity of b-Modulated Nonlinear Frequency Division Multiplexing

AU - Baniasadi, Amin

AU - Chen, Yu

AU - Safari, Majid

PY - 2022/8/3

Y1 - 2022/8/3

N2 - In this paper, we investigate the capacity of the continuous spectrum of nonlinear frequency division multiplexing (NFDM) systems when data is encoded using b-modulation. Recently, a tractable channel model is proposed for such optical fiber communication systems, describing the received b-modulated signal with an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity-achieving distribution is unique and discrete. A search algorithm is proposed to determine the optimal discrete input distribution that maximizes the mutual information. The numerical results show that the optimal input distributions form ring-based constellations. We compare these optimal designs with some conventional ring-based amplitude and phase shift keying (APSK) modulation schemes including 16 APSK, 32 APSK and 64 APSK, to show the achievable performance gains.

AB - In this paper, we investigate the capacity of the continuous spectrum of nonlinear frequency division multiplexing (NFDM) systems when data is encoded using b-modulation. Recently, a tractable channel model is proposed for such optical fiber communication systems, describing the received b-modulated signal with an input-dependent complex Gaussian distributed noise. Considering this channel model, we prove that the capacity-achieving distribution is unique and discrete. A search algorithm is proposed to determine the optimal discrete input distribution that maximizes the mutual information. The numerical results show that the optimal input distributions form ring-based constellations. We compare these optimal designs with some conventional ring-based amplitude and phase shift keying (APSK) modulation schemes including 16 APSK, 32 APSK and 64 APSK, to show the achievable performance gains.

U2 - 10.1109/ISIT50566.2022.9834436

DO - 10.1109/ISIT50566.2022.9834436

M3 - Conference contribution

SN - 978-1-6654-2159-1

T3 - IEEE International Symposium on Information Theory (ISIT)

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

PB - IEEE Xplore

T2 - IEEE International Symposium on Information Theory, ISIT 2022

Y2 - 26 June 2022 through 1 July 2022

ER -

On the Capacity of b-Modulated Nonlinear Frequency Division Multiplexing

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