Low-complexity carrier phase recovery based on principal component analysis for square-QAM modulation formats

Júlio César Medeiros Diniz, Qirui Fan*, Stenio Magalhaes Ranzini, Faisal Nadeem Khan, Francesco Da Ros, Darko Zibar, Alan Pak Tao Lau

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

We propose, numerically analyze and experimentally demonstrate a low-complexity, modulation-order independent, non-data-aided (NDA), feed-forward carrier phase recovery (CPR) algorithm. The proposed algorithm enables synchronous decoding of arbitrary square-quadrature amplitude modulation (QAM) constellations and it is suitable for a realistic hardware implementation based on block-wise parallel processing. The proposed method is based on principal component analysis (PCA) and it outperforms the well-known and widely used blind phase search (BPS) algorithm at low signal-to-noise ratio (SNR) values, showing much lower cycle slip rate (CSR) both numerically and experimentally. For operation at higher SNR values, a hybrid two-stage implementation combining the proposed method and BPS is also proposed and their performance are investigated benchmarking them against the two-stage BPS (2S-BPS). The complexity of the proposed simple and hybrid methods are evaluated against 2S-BPS and computational complexity savings of 92% and 40% are expected for the simple and hybrid methods, respectively.
Original languageEnglish
JournalOptics Express
Volume27
Issue number11
Pages (from-to)15617-15626
ISSN1094-4087
DOIs
Publication statusPublished - 2019

Cite this

@article{c1132726ce90433a8dc78ccb3e5bc180,
title = "Low-complexity carrier phase recovery based on principal component analysis for square-QAM modulation formats",
abstract = "We propose, numerically analyze and experimentally demonstrate a low-complexity, modulation-order independent, non-data-aided (NDA), feed-forward carrier phase recovery (CPR) algorithm. The proposed algorithm enables synchronous decoding of arbitrary square-quadrature amplitude modulation (QAM) constellations and it is suitable for a realistic hardware implementation based on block-wise parallel processing. The proposed method is based on principal component analysis (PCA) and it outperforms the well-known and widely used blind phase search (BPS) algorithm at low signal-to-noise ratio (SNR) values, showing much lower cycle slip rate (CSR) both numerically and experimentally. For operation at higher SNR values, a hybrid two-stage implementation combining the proposed method and BPS is also proposed and their performance are investigated benchmarking them against the two-stage BPS (2S-BPS). The complexity of the proposed simple and hybrid methods are evaluated against 2S-BPS and computational complexity savings of 92{\%} and 40{\%} are expected for the simple and hybrid methods, respectively.",
author = "{Medeiros Diniz}, {J{\'u}lio C{\'e}sar} and Qirui Fan and {Magalhaes Ranzini}, Stenio and Khan, {Faisal Nadeem} and {Da Ros}, Francesco and Darko Zibar and Lau, {Alan Pak Tao}",
year = "2019",
doi = "10.1364/OE.27.015617",
language = "English",
volume = "27",
pages = "15617--15626",
journal = "Optics Express",
issn = "1094-4087",
publisher = "The Optical Society",
number = "11",

}

Low-complexity carrier phase recovery based on principal component analysis for square-QAM modulation formats. / Medeiros Diniz, Júlio César; Fan, Qirui; Magalhaes Ranzini, Stenio; Khan, Faisal Nadeem; Da Ros, Francesco; Zibar, Darko; Lau, Alan Pak Tao.

In: Optics Express, Vol. 27, No. 11, 2019, p. 15617-15626.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Low-complexity carrier phase recovery based on principal component analysis for square-QAM modulation formats

AU - Medeiros Diniz, Júlio César

AU - Fan, Qirui

AU - Magalhaes Ranzini, Stenio

AU - Khan, Faisal Nadeem

AU - Da Ros, Francesco

AU - Zibar, Darko

AU - Lau, Alan Pak Tao

PY - 2019

Y1 - 2019

N2 - We propose, numerically analyze and experimentally demonstrate a low-complexity, modulation-order independent, non-data-aided (NDA), feed-forward carrier phase recovery (CPR) algorithm. The proposed algorithm enables synchronous decoding of arbitrary square-quadrature amplitude modulation (QAM) constellations and it is suitable for a realistic hardware implementation based on block-wise parallel processing. The proposed method is based on principal component analysis (PCA) and it outperforms the well-known and widely used blind phase search (BPS) algorithm at low signal-to-noise ratio (SNR) values, showing much lower cycle slip rate (CSR) both numerically and experimentally. For operation at higher SNR values, a hybrid two-stage implementation combining the proposed method and BPS is also proposed and their performance are investigated benchmarking them against the two-stage BPS (2S-BPS). The complexity of the proposed simple and hybrid methods are evaluated against 2S-BPS and computational complexity savings of 92% and 40% are expected for the simple and hybrid methods, respectively.

AB - We propose, numerically analyze and experimentally demonstrate a low-complexity, modulation-order independent, non-data-aided (NDA), feed-forward carrier phase recovery (CPR) algorithm. The proposed algorithm enables synchronous decoding of arbitrary square-quadrature amplitude modulation (QAM) constellations and it is suitable for a realistic hardware implementation based on block-wise parallel processing. The proposed method is based on principal component analysis (PCA) and it outperforms the well-known and widely used blind phase search (BPS) algorithm at low signal-to-noise ratio (SNR) values, showing much lower cycle slip rate (CSR) both numerically and experimentally. For operation at higher SNR values, a hybrid two-stage implementation combining the proposed method and BPS is also proposed and their performance are investigated benchmarking them against the two-stage BPS (2S-BPS). The complexity of the proposed simple and hybrid methods are evaluated against 2S-BPS and computational complexity savings of 92% and 40% are expected for the simple and hybrid methods, respectively.

U2 - 10.1364/OE.27.015617

DO - 10.1364/OE.27.015617

M3 - Journal article

C2 - 31163756

VL - 27

SP - 15617

EP - 15626

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 11

ER -