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We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

When a driven oscillator loses phase-locking to a master oscillator via a Hopf bifurcation, it enters a bounded-phase regime in which its average frequency is still equal to the master frequency, but its phase displays temporal…

Optics · Physics 2014-04-24 Marco Romanelli , Lihua Wang , Marc Brunel , Marc Vallet

Astronomic line mapping with single-pixel instruments is usually performed in an on-the-fly (OTF) or a raster-mapping mode depending on the capabilities of the telescope and the instrument. The observing efficiency can be increased by…

Instrumentation and Methods for Astrophysics · Physics 2009-11-13 V. Ossenkopf

The detection of planetary transits in the light curves of active stars, featuring correlated noise in the form of stellar variability, remains a challenge. Depending on the noise characteristics, we show that the traditional technique that…

Earth and Planetary Astrophysics · Physics 2024-07-23 Lionel Garcia , Daniel Foreman-Mackey , Catriona A. Murray , Suzanne Aigrain , Dax L. Feliz , Francisco J. Pozuelos

This paper investigates the performance of joint time delay and Doppler-stretch estimation with the random stepp ed-frequency (RSF) signal. Applying the ambiguity function (AF) to implement the estimation, we derive the compact expressions…

Information Theory · Computer Science 2016-05-20 Tong Zhao , Zheng Nan , Tianyao Huang

This paper proposes an efficient method for the simultaneous estimation of the state of a quantum system and the classical parameters that govern its evolution. This hybrid approach benefits from efficient numerical methods for the…

Quantum Physics · Physics 2017-11-08 Jason F Ralph , Simon Maskell , Kurt Jacobs

This paper proposes the \emph{multiresolution mode decomposition} as a novel model for adaptive time series analysis. The main conceptual innovation is the introduction of the \emph{multiresolution intrinsic mode function} (MIMF) of the…

Numerical Analysis · Mathematics 2019-08-30 Haizhao Yang

The analysis of the time-frequency content of a signal is a classical problem in signal processing, with a broad number of applications in real life. Many different approaches have been developed over the decades, which provide alternative…

Numerical Analysis · Mathematics 2022-06-02 Antonio Cicone , Wing Suet Li , Haomin Zhou

Most digital audio tampering detection methods based on electrical network frequency (ENF) only utilize the static spatial information of ENF, ignoring the variation of ENF in time series, which limit the ability of ENF feature…

Sound · Computer Science 2022-08-26 Chunyan Zeng , Shuai Kong , Zhifeng Wang , Xiangkui Wan , Yunfan Chen

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

The high planetary multiplicity revealed by Kepler implies that Transit Time Variations (TTVs) are intrinsically common. The usual procedure for detecting these TTVs is biased to long-period, deep transit planets whereas most transiting…

Earth and Planetary Astrophysics · Physics 2018-01-31 Aviv Ofir , Ji-Wei Xie , Chao-Feng Jiang , Re'em Sari , Oded Aharonson

The characterisation of stellar cores may be accomplished through the modelling of asteroseismic data from stars exhibiting either gravity-mode or mixed-mode pulsations, potentially shedding light on the physical processes responsible for…

Solar and Stellar Astrophysics · Physics 2019-09-25 M. S. Cunha , P. P. Avelino , J. Christensen-Dalsgaard , D. Stello , M. Vrard , C. Jiang , B. Mosser

In the field of Structural Dynamics, modal analysis is the foundation of System Identification and vibration-based inspection. However, despite their widespread use, current state-of-the-art methods for extracting modal parameters from…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Gabriele Dessena , Marco Civera

In many processes, the variations in underlying characteristics can be approximated by noisy multi-periodic patterns. If large-scale patterns are superimposed by a noise with long-range correlations, the detection of multi-periodic patterns…

Quantitative Methods · Quantitative Biology 2019-12-09 V. R. Chechetkin , V. V. Lobzin

We present an empirical investigation of software developed by the Science and Music Research Group at the University of Glasgow. Initially created for musicological applications, it is equally applicable in any area where precise time and…

Signal Processing · Electrical Eng. & Systems 2024-07-19 Keziah Milligan , Nicholas J. Bailey , Bernd Porr

Correlation analysis is convenient and frequently used tool for investigation of time series from complex systems. Recently new methods such as the multifractal detrended fluctuation analysis (MFDFA) and the wavelet transform modulus…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Nikolay K. Vitanov , kenschi Sakai , Elka D. Yankulova

The F-statistic is an established method to search for continuous gravitational waves from spinning neutron stars. Prix et al. (2011) introduced a variant for transient quasi-monochromatic signals. Possible astrophysical scenarios for such…

Instrumentation and Methods for Astrophysics · Physics 2018-09-20 David Keitel , Gregory Ashton

In spite of extensive observations and numerous theoretical studies in the past decades several key questions related with Gamma-Ray Bursts (GRB) emission mechanisms are still to be answered. Precise detection of the GRB polarization…

A wavelet transform spectrum analyzer operating in real time within the frequency range 3X10^(-5) - 1.3X10^5 Hz has been implemented on a low-cost Digital Signal Processing board operating at 150MHz. The wavelet decomposition of the signal…

Statistical Mechanics · Physics 2009-11-07 Doriano Brogioli , Alberto Vailati

We study the statistical properties of spherical harmonic modes of temperature maps of the cosmic microwave background. Unlike other studies, which focus mainly on properties of the amplitudes of these modes, we look instead at their…

Astrophysics · Physics 2009-11-10 Peter Coles , Patrick Dineen , John Earl , Dean Wright