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The measurement problem for the optical phase has been traditionally attacked for noiseless schemes or in the presence of amplitude or detection noise. Here we address estimation of phase in the presence of phase diffusion and evaluate the…

Quantum Physics · Physics 2015-03-17 Marco G. Genoni , Stefano Olivares , Matteo G. A. Paris

Oscillators are ubiquitous in nature, and usually associated with the existence of an asymptotic phase that governs the long-term dynamics of the oscillator. % We show that asymptotic phase can be estimated using a carefully chosen series…

Dynamical Systems · Mathematics 2022-03-10 Simon Wilshin , Matthew D. Kvalheim , Clayton Scott , Shai Revzen

One approach to maintaining phase coherence of qubits through dynamical decoupling consists of applying a sequence of Hahn spin-echo pulses. Recent studies have shown that, in certain noise environments, judicious choice of the delay times…

Quantum Physics · Physics 2009-06-24 Hermann Uys , Michael J. Biercuk , John J. Bollinger

A multivariate score-driven filter is developed to extract signals from noisy vector processes. By assuming that the conditional location vector from a multivariate Student's t distribution changes over time, we construct a robust filter…

Econometrics · Economics 2022-08-31 Enzo D'Innocenzo , Alessandra Luati , Mario Mazzocchi

We present a data-driven feedforward control to attenuate large transient lift experienced by an airfoil disturbed by an extreme level of discrete vortex gust. The current analysis uses a nonlinear machine-learning technique to compress the…

Fluid Dynamics · Physics 2024-09-18 Kai Fukami , Hiroya Nakao , Kunihiko Taira

The detection of earthquakes is a fundamental prerequisite for seismology and contributes to various research areas, such as forecasting earthquakes and understanding the crust/mantle structure. Recent advances in machine learning…

Geophysics · Physics 2023-07-14 Tomoki Tokuda , Hiromichi Nagao

A recently developed data-driven Kalman filter requires offline measurement of the process disturbance; a requirement that is often unmet for many practical applications. We propose a solution that parametrizes the Kalman filter exclusively…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Mohamed Abdalmoaty , Roy S. Smith

Advanced LIGO and Advanced Virgo ground-based interferometers are instruments capable to detect gravitational wave signals exploiting advanced laser interferometry techniques. The underlying data analysis task consists in identifying…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Francesco Pio Barone , Daniele Dell'Aquila , Marco Russo

This paper presents a new procedure for phase detector measurements that allows the use of generators that share a 10 MHz reference oscillator but do not synchronize in phase, in other words, quasi-synchronized RF generators. The objectives…

Systems and Control · Electrical Eng. & Systems 2024-02-08 V. A. Pulido , F. Cabrera-Almeida , P. Quintana-Morales , E. Mendieta-Otero

In vibration-based condition monitoring, optimal filter design improves fault detection by enhancing weak fault signatures within vibration signals. This process involves optimising a derived objective function from a defined objective. The…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Stephan Schmidt , Daniel N. Wilke , Konstantinos C. Gryllias

Dynamic statistical process monitoring methods have been widely studied and applied in modern industrial processes. These methods aim to extract the most predictable temporal information and develop the corresponding dynamic monitoring…

Methodology · Statistics 2022-11-10 Wei Fan , Qinqin Zhu , Shaojun Ren , Liang Zhang , Fengqi Si

Forced oscillation event in power grids refers to a state where malfunctioning or abnormally operating equipment causes persisting periodic disturbances in the system. While power grids are designed to damp most of perturbations during…

Adaptation and Self-Organizing Systems · Physics 2023-06-12 Robin Delabays , Andrey Y. Lokhov , Melvyn Tyloo , Marc Vuffray

This paper considers phase retrieval from the magnitude of 1D over-sampled Fourier measurements, a classical problem that has challenged researchers in various fields of science and engineering. We show that an optimal vector in a…

Optimization and Control · Mathematics 2016-11-03 Kejun Huang , Yonina C. Eldar , Nicholas D. Sidiropoulos

A new technique for reliably identifying point sources in millimeter/sub-millimeter wavelength maps is presented. This method accounts for the frequency dependence of noise in the Fourier domain as well as non-uniformities in the coverage…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 T. A. Perera , G. W. Wilson , K. S. Scott , J. E. Austermann , J. R. Schaar , A. Mancera

We integrate a discrete vortex method with complex network analysis to strategize dynamic stall mitigation over a pitching airfoil with active flow control. The objective is to inform actuator placement and timing to introduce control…

Fluid Dynamics · Physics 2026-01-14 Het D. Patel , Yi Tsung Lee , Ashok Gopalarathnam , Chi-An Yeh

We present an analytical calculation of the response of a driven Duffing oscillator to low-frequency fluctuations in the resonance frequency and damping. We find that fluctuations in these parameters manifest themselves distinctively,…

Chaotic Dynamics · Physics 2021-09-22 C. S. Barquist , W. G. Jiang , K. Gunther , Y. Lee

Feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose. These methods are based on a physical understanding of the underlying behavior of the flow in the…

Fluid Dynamics · Physics 2019-01-07 Carlos Michelén Ströfer , Jinlong Wu , Heng Xiao , Eric Paterson

In current MIMO mobile communication systems, phase noise can significantly impair performance. To allow for compensation of these impairments, accurate phase noise modeling is necessary. Numerical modeling of the phase noise process at a…

Signal Processing · Electrical Eng. & Systems 2026-04-10 Carl Collmann , Ahmad Nimr , Gerhard Fettweis

As a consequence of a general trend in the physics of oscillators and clocks towards optics, phase and frequency metrology is rapidly moving to optics too. Yet, optics is not replacing the traditional radio-frequency (RF) and microwave…

Instrumentation and Detectors · Physics 2017-08-23 Enrico Rubiola , Vincent Giordano , Kirill Volyanskiy , Laurent Larger

In this work, we investigate the dynamics of vortex-induced vibration of an elastically mounted cylinder with very low values of mass and damping. We use two methods to investigate this canonical problem: first we calculate the…