Interplay of Probabilistic Shaping and the Blind Phase Search Algorithm

Mello, Darli A. A.; Barbosa, Fabio Aparecido; Reis, Jacklyn D.

doi:10.1109/jlt.2018.2869245

Cited by 50 publications

(17 citation statements)

References 13 publications

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“…We also plan in future works to further extend our analyses to the impact of non-linear phase noise [13], equalization-enhanced phase noise [18,19], high frequency drifts, constellation imperfections [20] and the use of probabilistic shaping [21], as well as to make comparisons with data-aided CPR methods.…”

Section: Discussionmentioning

confidence: 99%

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

Diniz¹,

Fan²,

Ranzini³

et al. 2019

Opt. Express

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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 squarequadrature 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.

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Section: Discussionmentioning

confidence: 99%

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

Diniz¹,

Fan²,

Ranzini³

et al. 2019

Opt. Express

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“…The symbols are shaped following a single Maxwell-Boltzmann probability mass function over the entire simulated block length of 2 16 symbols. PS constellations which approach a Gaussian distribution on the I-Q plane have been found to have stronger NLPN contribution [4,5] and to provide a penalty for the BPS algorithm [7]. We selected this modulation format for our analysis in order to observe conditions in which NLPN is expected to have a significant contribution to the overall system performance.…”

Section: Analyzed Scenariosmentioning

confidence: 99%

Achievable Mitigation of Nonlinear Phase Noise through Optimized Blind Carrier Phase Recovery

Rosa¹,

Richter²

2020

2020 22nd International Conference on Transparent Optical Networks (ICTON)

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Partial mitigation of nonlinear phase noise by standard carrier phase recovery has been reported both, experimentally and through simulations. In this paper we quantify the achievable mitigation by using different implementations of the carrier phase recovery. All the approaches are based on the widespread blind phase search algorithm but follow different optimization strategies for handling simultaneously both, linear and nonlinear impairments of the channel. We apply the algorithms on probabilistically shaped signals transmitted over standard single mode fiber and non-zero dispersion shifted fiber in order to consider conditions in which the system performance is evidently affected by nonlinear phase noise. The results obtained are finally compared to the statistically estimated achievable phase noise removal. This allows to evaluate in different system scenarios an upper bound to the potential gain obtainable by algorithms developed to mitigate the detrimental impact of shortcorrelated nonlinear phase noise.

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“…In order to devote to investigate the impact of PS signals on CPR, we eliminate the interference of other factors and implement a back-to-back transmission. AWGN is loaded to vary the SNR within the PS-dominant range, which is 8 dB to 14 dB for PS-16QAM [23]. At the receiver, the conventional QPSK partition algorithm and the proposed MAP-based QPSK partition algorithm with the filter weight optimizing are performed respectively.…”

Section: Simulation Setupmentioning

confidence: 99%

“…Recently, the tolerance of laser phase noise using pilot-aided digital phase locked loop (PLL) for uniform distribution and probabilistic shaping is compared, and the further research on the pilot ratio has been evaluated experimentally [20,21]. Moreover, the impact of PS on the performance of blind phase search (BPS) algorithm and the cycle-slip probability is also studied in depth [22,23]. The results show that the BPS performance and cycle-slip probability are strongly affected by the strength of shaping, and the MI gain of PS is degraded or even turned into a great penalty after BPS.…”

Section: Introductionmentioning

confidence: 99%

Modified QPSK Partition Algorithm Based on MAP Estimation for Probabilistically-Shaped 16-QAM

Hu,

Sun,

et al. 2020

Preprint

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Probabilistic shaping (PS) is investigated as a potential technique to approach the Shannon limit. However, it has been proved that conventional carrier phase recovery (CPR) algorithm designed for uniform distribution may have extra penalty in PS systems. In this paper, we find that the performance of QPSK partition algorithm is degenerated when PS is implemented. To solve this issue, a modified QPSK partition algorithm that jointly optimizes the amplitude decision threshold and filter weight is proposed, where the optimization of decision threshold is based on maximum a posterior probability (MAP) estimation. Different from the conventional decision methods which commonly use Euclidean distance metric, the MAP-based decision introduces the statistical characteristics of the received signals to obtain an accurate amplitude partition. In addition, the filter weight is optimized for different decision thresholds to enhance the tolerance of ASE-induced phase noise. We verify the feasibility of the proposed algorithm in a 56 GBaud PS 16-ary quadrature amplitude modulation (16-QAM) system. The proposed algorithm reduces the error of phase noise estimation by nearly half. Compared with conventional QPSK partition, the proposed algorithm could narrow the gap with theoretical mutual information (MI) by more than 0.1 bit/symbol. The channel capacity is increased by 4.2%, 4.3% and 3.6% with signal-to-noise ratio (SNR) from 8 dB to 10 dB respectively. These observations show that the proposed algorithm is a promising method to relieve the penalty of QPSK partition algorithm in PS systems.

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Interplay of Probabilistic Shaping and the Blind Phase Search Algorithm

Cited by 50 publications

References 13 publications

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

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

Achievable Mitigation of Nonlinear Phase Noise through Optimized Blind Carrier Phase Recovery

Modified QPSK Partition Algorithm Based on MAP Estimation for Probabilistically-Shaped 16-QAM

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