Multidimensional hybrid modulations for ultrahigh-speed optical transport

Ivan B Djordjevic, Lei Xu, Ting Wang

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

From Shanon's theory, we know that information capacity is a logarithmic function of signal-to-noise ratio (SNR) but a linear function of the number of dimensions. By increasing the number of dimensions D, we can dramatically improve the spectral efficiency. At the same time, in D-dimensional space (D>2), for the same average symbol energy, we can increase the Euclidean distance between signal constellation points compared with the conventional in-phase (I)/quadrature (Q) 2-D signal space. The 4-D space, with two phase coordinates per polarization, has already been intensively studied. To satisfy the ever-increasing bandwidth demands, in this paper, we propose the D-dimensional signaling (Df>4) by employing all available degrees of freedom for transmission over a single carrier including amplitude, phase, polarization, and orbital angular momentum (OAM). The proposed modulation scheme can be called hybrid $D$-dimensional modulation as it employs all available degrees of freedom. The proposed hybrid 8-D coded-modulation scheme outperforms its 4-D counterpart by 3.97 dB at a bit error rate (BER) of 10 -8 while outperforming its corresponding polarization-division- multiplexed (PDM) iterative polar quantization (IPQ)-based counterpart by even a larger margin of 6.41 dB (at the same BER). The improvement of the proposed scheme for two amplitude levels per dimension and D = 8 over conventional PDM 64-quadrature amplitude modulation (QAM) is indeed a striking 8.28 dB at a BER of 2× 10-8.

Original languageEnglish (US)
Article number6059467
Pages (from-to)1030-1038
Number of pages9
JournalIEEE Photonics Journal
Volume3
Issue number6
DOIs
StatePublished - 2011

Fingerprint

bit error rate
Modulation
Bit error rate
Polarization
modulation
polarization
division
degrees of freedom
quadrature amplitude modulation
Angular momentum
constellations
Channel capacity
Quadrature amplitude modulation
quadratures
margins
Signal to noise ratio
signal to noise ratios
angular momentum
bandwidth
Bandwidth

Keywords

  • coded-modulation
  • hybrid modulations
  • low-density parity-check (LDPC) codes
  • Multimode fibers (MMFs)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

Cite this

Multidimensional hybrid modulations for ultrahigh-speed optical transport. / Djordjevic, Ivan B; Xu, Lei; Wang, Ting.

In: IEEE Photonics Journal, Vol. 3, No. 6, 6059467, 2011, p. 1030-1038.

Research output: Contribution to journalArticle

@article{086e44d765ff44d9adf7e22764478e2b,
title = "Multidimensional hybrid modulations for ultrahigh-speed optical transport",
abstract = "From Shanon's theory, we know that information capacity is a logarithmic function of signal-to-noise ratio (SNR) but a linear function of the number of dimensions. By increasing the number of dimensions D, we can dramatically improve the spectral efficiency. At the same time, in D-dimensional space (D>2), for the same average symbol energy, we can increase the Euclidean distance between signal constellation points compared with the conventional in-phase (I)/quadrature (Q) 2-D signal space. The 4-D space, with two phase coordinates per polarization, has already been intensively studied. To satisfy the ever-increasing bandwidth demands, in this paper, we propose the D-dimensional signaling (Df>4) by employing all available degrees of freedom for transmission over a single carrier including amplitude, phase, polarization, and orbital angular momentum (OAM). The proposed modulation scheme can be called hybrid $D$-dimensional modulation as it employs all available degrees of freedom. The proposed hybrid 8-D coded-modulation scheme outperforms its 4-D counterpart by 3.97 dB at a bit error rate (BER) of 10 -8 while outperforming its corresponding polarization-division- multiplexed (PDM) iterative polar quantization (IPQ)-based counterpart by even a larger margin of 6.41 dB (at the same BER). The improvement of the proposed scheme for two amplitude levels per dimension and D = 8 over conventional PDM 64-quadrature amplitude modulation (QAM) is indeed a striking 8.28 dB at a BER of 2× 10-8.",
keywords = "coded-modulation, hybrid modulations, low-density parity-check (LDPC) codes, Multimode fibers (MMFs)",
author = "Djordjevic, {Ivan B} and Lei Xu and Ting Wang",
year = "2011",
doi = "10.1109/JPHOT.2011.2173327",
language = "English (US)",
volume = "3",
pages = "1030--1038",
journal = "IEEE Photonics Journal",
issn = "1943-0655",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "6",

}

TY - JOUR

T1 - Multidimensional hybrid modulations for ultrahigh-speed optical transport

AU - Djordjevic, Ivan B

AU - Xu, Lei

AU - Wang, Ting

PY - 2011

Y1 - 2011

N2 - From Shanon's theory, we know that information capacity is a logarithmic function of signal-to-noise ratio (SNR) but a linear function of the number of dimensions. By increasing the number of dimensions D, we can dramatically improve the spectral efficiency. At the same time, in D-dimensional space (D>2), for the same average symbol energy, we can increase the Euclidean distance between signal constellation points compared with the conventional in-phase (I)/quadrature (Q) 2-D signal space. The 4-D space, with two phase coordinates per polarization, has already been intensively studied. To satisfy the ever-increasing bandwidth demands, in this paper, we propose the D-dimensional signaling (Df>4) by employing all available degrees of freedom for transmission over a single carrier including amplitude, phase, polarization, and orbital angular momentum (OAM). The proposed modulation scheme can be called hybrid $D$-dimensional modulation as it employs all available degrees of freedom. The proposed hybrid 8-D coded-modulation scheme outperforms its 4-D counterpart by 3.97 dB at a bit error rate (BER) of 10 -8 while outperforming its corresponding polarization-division- multiplexed (PDM) iterative polar quantization (IPQ)-based counterpart by even a larger margin of 6.41 dB (at the same BER). The improvement of the proposed scheme for two amplitude levels per dimension and D = 8 over conventional PDM 64-quadrature amplitude modulation (QAM) is indeed a striking 8.28 dB at a BER of 2× 10-8.

AB - From Shanon's theory, we know that information capacity is a logarithmic function of signal-to-noise ratio (SNR) but a linear function of the number of dimensions. By increasing the number of dimensions D, we can dramatically improve the spectral efficiency. At the same time, in D-dimensional space (D>2), for the same average symbol energy, we can increase the Euclidean distance between signal constellation points compared with the conventional in-phase (I)/quadrature (Q) 2-D signal space. The 4-D space, with two phase coordinates per polarization, has already been intensively studied. To satisfy the ever-increasing bandwidth demands, in this paper, we propose the D-dimensional signaling (Df>4) by employing all available degrees of freedom for transmission over a single carrier including amplitude, phase, polarization, and orbital angular momentum (OAM). The proposed modulation scheme can be called hybrid $D$-dimensional modulation as it employs all available degrees of freedom. The proposed hybrid 8-D coded-modulation scheme outperforms its 4-D counterpart by 3.97 dB at a bit error rate (BER) of 10 -8 while outperforming its corresponding polarization-division- multiplexed (PDM) iterative polar quantization (IPQ)-based counterpart by even a larger margin of 6.41 dB (at the same BER). The improvement of the proposed scheme for two amplitude levels per dimension and D = 8 over conventional PDM 64-quadrature amplitude modulation (QAM) is indeed a striking 8.28 dB at a BER of 2× 10-8.

KW - coded-modulation

KW - hybrid modulations

KW - low-density parity-check (LDPC) codes

KW - Multimode fibers (MMFs)

UR - http://www.scopus.com/inward/record.url?scp=81355141696&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=81355141696&partnerID=8YFLogxK

U2 - 10.1109/JPHOT.2011.2173327

DO - 10.1109/JPHOT.2011.2173327

M3 - Article

VL - 3

SP - 1030

EP - 1038

JO - IEEE Photonics Journal

JF - IEEE Photonics Journal

SN - 1943-0655

IS - 6

M1 - 6059467

ER -