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A semi-analytical method evaluates the error probability of DPSK signals with intrachannel four-wave-mixing (IFWM) in a highly dispersive fiber link with strong pulse overlap. Depending on initial pulse width, the mean nonlinear phase shift…

Optics · Physics 2013-01-15 Keang-Po Ho

The performance of different probabilistic amplitude shaping (PAS) techniques in the nonlinear regime is investigated, highlighting its dependence on the PAS block length and the interaction with carrier phase recovery (CPR). Different PAS…

Information Theory · Computer Science 2023-05-24 Stella Civelli , Emanuele Parente , Enrico Forestieri , Marco Secondini

Enhanced Gaussian noise models are used to demonstrate that the per-block SNR after fibre transmission varies significantly due to the variable-composition nature of modern probabilistic shaping schemes. We propose a nonlinearity-optimised…

Signal Processing · Electrical Eng. & Systems 2019-07-08 Tobias Fehenberger , Alex Alvarado

The rate flexibility and probabilistic shaping gain of $4$-dimensional signaling is experimentally tested for short-reach, unrepeated transmission. A rate granularity of 0.5 bits/QAM symbol is achieved with a distribution matcher based on a…

A new geometric shaping method is proposed, leveraging unsupervised machine learning to optimize the constellation design. The learned constellation mitigates nonlinear effects with gains up to 0.13 bit/4D when trained with a simplified…

Information Theory · Computer Science 2018-05-11 Rasmus T. Jones , Tobias A. Eriksson , Metodi P. Yankov , Darko Zibar

This paper studies the impact of probabilistic shaping on effective signal-to-noise ratios (SNRs) and achievable information rates (AIRs) in a back-to-back configuration and in unrepeated nonlinear fiber transmissions. For back-to-back,…

In this paper, a new four-dimensional 64-ary polarization ring switching (4D-64PRS) modulation format with a spectral efficiency of 6 bit/4D-sym is introduced. The format is designed by maximizing the generalized mutual information (GMI)…

Signal Processing · Electrical Eng. & Systems 2019-06-07 Bin Chen , Chigo Okonkwo , Hartmut Hafermann , Alex Alvarado

A new probabilistic shaping distribution that outperforms Maxwell-Boltzmann is studied for the nonlinear fiber channel. Additional gains of 0.1 bit/symbol MI or 0.2 dB SNR for both DP-256QAM and DP-1024QAM are reported after 200 km…

Band-trellis enumerative sphere shaping is proposed to decrease the energy variations in channel input sequences. Against sphere shaping, 0.74 dB SNR gain and up to 9% increase in data rates are demonstrated for single-span systems.

Signal Processing · Electrical Eng. & Systems 2022-01-11 Yunus Can Gültekin , Alex Alvarado , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Frans M. J. Willems

Perturbed spectra are modelled to estimate OSNR for a single channel amplified link. Perturbation-dependent nonlinear noise is separated from constant ASE noise using a set of propagated perturbed spectra. A least mean square fitting is…

Signal Processing · Electrical Eng. & Systems 2021-04-06 F. J. Vaquero-Caballero , D. Charlton , M. E. Mousa-Pasandi , D. J. Ives , C. Laperle , M. Hubbard , M. Reimer , M. OSullivan , S. J. Savory

In this letter, we propose a symbol-wise puncturing scheme to support hybrid automatic repeat request (HARQ) integrated probabilistic amplitude shaping (PAS). To prevent the probability distribution distortion caused by the traditional…

Information Theory · Computer Science 2022-07-26 Li Shen , Yongpeng Wu , Derrick Wing Kwan Ng , Wenjun Zhang , Xiang-Gen Xia

In this paper we carry out a joint optimization of probabilistic (PS) and geometric shaping (GS) for four-dimensional (4D) modulation formats in long-haul coherent wavelength division multiplexed (WDM) optical fiber communications using an…

Segmented regression models offer model flexibility and interpretability as compared to the global parametric and the nonparametric models, and yet are challenging in both estimation and inference. We consider a four-regime segmented model…

Methodology · Statistics 2024-10-08 Han Yan , Song Xi Chen

The study of physiology demonstrates that the form (shape)of anatomical structures dictates their functions, and analyzing the form of anatomies plays a crucial role in clinical research. Statistical shape modeling (SSM) is a widely used…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Krithika Iyer , Shireen Y. Elhabian

In order to realize probabilistically shaped signaling within the probabilistic amplitude shaping (PAS) framework, a shaping device outputs sequences that follow a certain nonuniform distribution. In case of constant-composition (CC)…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons , Helmut Griesser

Modern control systems frequently operate under input delays and sampled state measurements. A common delay-compensation strategy is predictor feedback; however, practical implementations require solving an implicit ODE online, resulting in…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Luke Bhan , Peter Quawas , Miroslav Krstic , Yuanyuan Shi

The interaction between carrier phase recovery and probabilistic amplitude shaping (PAS) in the nonlinear regime is investigated. We show that, for sufficiently high signal-to-noise ratio, the first provides the same inter-channel…

Information Theory · Computer Science 2020-09-03 Stella Civelli , Enrico Forestieri , Marco Secondini

In this paper, we develop a statistical characterization of the multipath interference in an Impulse Radio (IR)-UWB system, considering the standardized IEEE 802.15.4a channel model. In such systems, the chip length has to be carefully…

Networking and Internet Architecture · Computer Science 2015-12-08 Mihai I. Stanciu , Stéphane Azou , Emanuel Rădoi , Alexandru Şerbănescu

In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

Machine Learning · Statistics 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri

Linear prediction (LP) is an ubiquitous analysis method in speech processing. Various studies have focused on sparse LP algorithms by introducing sparsity constraints into the LP framework. Sparse LP has been shown to be effective in…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-09 Thomas Drugman