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Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state…

Machine Learning · Computer Science 2021-03-16 T. Konstantin Rusch , Siddhartha Mishra

For the first time, recurrent and feedforward neural network-based equalizers for nonlinearity compensation are implemented in an FPGA, with a level of complexity comparable to that of a dispersion equalizer. We demonstrate that the…

In this paper, we present efficient solutions for the nonlinear program (NLP) associated with nonlinear model predictive control (NMPC) by leveraging the linear parameter-varying (LPV) embedding of nonlinear models and sequential quadratic…

Optimization and Control · Mathematics 2025-02-19 Dimitrios S. Karachalios , Hossam S. Abbas

For coherent and direct-detection Orthogonal Frequency Division Multiplexed (OFDM) systems employing radio frequency (RF) pilot tone phase noise cancellation the influence of laser phase noise is evaluated. Novel analytical results for the…

Other Computer Science · Computer Science 2016-08-01 Gunnar Jacobsen , Leonid G. Kazovsky , Tianhua Xu , Sergei Popov , Jie Li , Yimo Zhang , Ari T. Friberg

A neural networks (NN) compensator is designed for systems with multi-segment piecewise-linear nonlinearities. The compensator uses the back stepping technique with NN for inverting the multi-segment piecewise-linear nonlinearities in the…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Jun Oh Jang

Nonlinear phase noise, often called the Gordon-Mollenauer effect, can be compensated electronically by subtracting from the received phase a correction proportional to the received intensity. The optimal scaling factor is derived…

Optics · Physics 2013-01-15 Keang-Po Ho , Joseph M. Kahn

This paper investigates amplify-and-forward (AF) schemes for both one and two-way relay channels. Unlike most existing works assuming independent noise at the relays, we consider a more general scenario with correlated relay noise. We first…

Information Theory · Computer Science 2013-07-09 Binyue Liu , Ye Yang , Ning Cai

The Stochastic Liouville-von Neumann (SLN) equation describes the dynamics of an open quantum system reduced density matrix coupled to a non-Markovian harmonic environment. The interaction with the environment is represented by complex…

Quantum Physics · Physics 2021-02-19 Daniel Matos , Matthew A Lane , Ian J Ford , Lev Kantorovich

Currently, the sub-60 Hz sensitivity of gravitational-wave (GW) detectors like Advanced LIGO is limited by the control noises from auxiliary degrees of freedom, which nonlinearly couple to the main GW readout. One particularly promising way…

Instrumentation and Methods for Astrophysics · Physics 2021-11-08 Hang Yu , Rana X. Adhikari

Non-ideal oscillators both at the transmitter and the receiver introduces time varying phase noise which interacts with the transmitted data in a non-linear fashion. Phase noise becomes a detrimental problem and needs to be estimated and…

Information Theory · Computer Science 2012-10-24 Arif Onder Isikman , Hani Mehrpouyan , Alexandre Graell i Amat

Path integrals describing quantum many-body systems can be calculated with Monte Carlo sampling techniques, but average quantities are often subject to signal-to-noise ratios that degrade exponentially with time. A phase-reweighting…

High Energy Physics - Lattice · Physics 2017-07-12 Michael L. Wagman , Martin J. Savage

Most of the literature focuses on the development of the linear active noise control (ANC) techniques. However, ANC systems might have to deal with some nonlinear components and the performance of linear ANC techniques may degrade in this…

Machine Learning · Computer Science 2022-02-15 Lu Lu , Kai-Li Yin , Rodrigo C. de Lamare , Zongsheng Zheng , Yi Yu , Xiaomin Yang , Badong Chen

The analysis of adaptive carrier phase estimation is investigated in long-haul high speed n-level phase shift keying (n-PSK) optical fiber communication systems based on the one-tap normalized least-mean-square (LMS) algorithm. The…

Information Theory · Computer Science 2016-11-15 Tianhua Xu , Tiegen Liu , Yimo Zhang , Gunnar Jacobsen , Jie Li , Sergei Popov

Numerical studies of quantum field theories usually rely upon an accurate determination of stochastically estimated correlation functions in order to extract information about the spectrum of the theory and matrix elements of operators. The…

High Energy Physics - Lattice · Physics 2014-09-22 William Detmold , Michael G. Endres

The influence of crosstalk on quantum communication networks and its mitigation is discussed. It was shown that choosing the parameters for the network that uses the phase stochastic resonance phenomena can increase the signal-to-noise…

Quantum Physics · Physics 2023-05-12 Ekaterina Ponizovskaya-Devine

We develop a computational procedure to estimate the covariance hyperparameters for semiparametric Gaussian process regression models with additive noise. Namely, the presented method can be used to efficiently estimate the variance of the…

Machine Learning · Computer Science 2022-06-22 Siavash Ameli , Shawn C. Shadden

We derive the general structure of noiseless subsystems for optical radiation contained in a sequence of pulses undergoing collective depolarization in an optical fiber. This result is used to identify optimal ways to implement quantum…

Quantum Physics · Physics 2016-09-08 Jonathan L. Ball , Konrad Banaszek

In complex networked systems theory, an important question is how to evaluate the system robustness to external perturbations. With this task in mind, I investigate the propagation of noise in multi-layer networked systems. I find that, for…

Adaptation and Self-Organizing Systems · Physics 2022-07-15 Melvyn Tyloo

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

We introduce the concept of phase-synchronous undersampling in nonlinear spectroscopy. The respective theory is presented and validated experimentally in a phase-modulated quantum beat experiment by sampling high phase modulation…

Chemical Physics · Physics 2018-03-14 Lukas Bruder , Marcel Binz , Frank Stienkemeier