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It is a big challenge in the analysis of experimental data to disentangle the unavoidable measurement noise from the intrinsic dynamical noise. Here we present a general operational method to extract measurement noise from stochastic time…

Chaotic Dynamics · Physics 2013-01-01 Pedro G. Lind , Maria Haase , Frank Böttcher , Joachim Peinke , David Kleinhans , Rudolf Friedrich

Signal extrapolation is an important task in digital signal processing for extending known signals into unknown areas. The Selective Extrapolation is a very effective algorithm to achieve this. Thereby, the extrapolation is obtained by…

Image and Video Processing · Electrical Eng. & Systems 2022-05-02 Jürgen Seiler , André Kaup

Circular Synthetic aperture sonars (CSAS) capture multiple observations of a scene to reconstruct high-resolution images. We can characterize resolution by modeling CSAS imaging as the convolution between a scene's underlying point…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Albert Reed , Thomas Blanford , Daniel C. Brown , Suren Jayasuriya

Singular spectrum analysis (SSA) as a nonparametric tool for decomposition of an observed time series into sum of interpretable components such as trend, oscillations and noise is considered. The separability of these series components by…

Methodology · Statistics 2016-01-25 Nina Golyandina , Alex Shlemov

Stochastic approximation (SA) is a powerful class of iterative algorithms for nonlinear root-finding that can be used for minimizing a loss function, $L(\boldsymbol{\theta})$, with respect to a parameter vector $\boldsymbol{\theta}$, when…

Optimization and Control · Mathematics 2017-07-24 Karla Hernández Cuevas

This study provides a computationally effective deconvolution algorithm capable to reconstruct piled-up events in scintillating detector systems with high count rate where fully digitized waveforms are available. A fixed-point iteration…

Instrumentation and Detectors · Physics 2025-06-18 Georgi Georgiev

We suggest a new approach to the detection of gravitational waves using observations of a group of millisecond pulsars. In contrast to the usual method, based on increasing the accuracy of the arrival times of pulses by excluding possible…

Instrumentation and Methods for Astrophysics · Physics 2011-07-26 Alexander E. Rodin

This paper proposes a novel learning to learn method, called learning to learn iterative search algorithm (LISA), for signal detection in a multi-input multi-output (MIMO) system. The idea is to regard the signal detection problem as a…

Information Theory · Computer Science 2020-07-23 Jianyong Sun , Yiqing Zhang , Jiang Xue , Zongben Xu

We propose a diagnostic tool for future analyses of stochastic gravitational wave background signals of extra-galactic origin in LISA data. Next-generation gravitational wave detectors hold the capability to track unresolved gravitational…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Lavinia Heisenberg , Henri Inchauspé , David Maibach

In view of the current availability and variety of measured data, there is an increasing demand for powerful signal processing tools that can cope successfully with the associated problems that often arise when data are being analysed. In…

Data Analysis, Statistics and Probability · Physics 2014-12-16 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska

Background and Objective: Computational ultrasound imaging has become a well-established methodology in the ultrasound community. Simulations of ultrasound sequences and images allow the study of innovative techniques in terms of emission…

Medical Physics · Physics 2022-03-08 Damien Garcia

We present a fast and simple algorithm that allows the extraction of multiple exponential signals from the temporal dependence of correlation functions evaluated on the lattice including the statistical fluctuations of each signal and…

High Energy Physics - Lattice · Physics 2019-10-09 S. Romiti , S. Simula

The Laser Interferometer Space Antenna (LISA) is a planned space-based observatory to measure gravitational waves in the millihertz frequency band. This frequency band is expected to be dominated by signals from millions of Galactic…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Stefan H. Strub , Luigi Ferraioli , Cédric Schmelzbach , Simon C. Stähler , Domenico Giardini

We estimate the upper frequency cutoff of the galactic white dwarf binaries gravitational wave background that will be observable by the LISA detector. This is done by including the modulation of the gravitational wave signal due the motion…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Krolak , Massimo Tinto

Given the widespread use of safety-critical applications in the automotive field, it is crucial to ensure the Functional Safety (FuSa) of circuits and components within automotive systems. The Analog and Mixed-Signal (AMS) circuits…

Across a far-reaching diversity of scientific and industrial applications, a general key problem involves relating the structure of time-series data to a meaningful outcome, such as detecting anomalous events from sensor recordings, or…

Machine Learning · Computer Science 2017-11-27 Ben D Fulcher , Nick S Jones

A novel method for noise reduction in the setting of curve time series with error contamination is proposed, based on extending the framework of functional principal component analysis (FPCA). We employ the underlying, finite-dimensional…

Methodology · Statistics 2023-07-06 Cees Diks , Bram Wouters

Understanding the temporal characteristics of data from low frequency radio telescopes is of importance in devising suitable calibration strategies. Application of time series analysis techniques to data from radio telescopes can reveal a…

Instrumentation and Methods for Astrophysics · Physics 2023-02-20 Jishnu N. Thekkeppattu , Cathryn M. Trott , Benjamin McKinley

This paper discusses a fast algorithm for analyzing the phases of a multi-tone phase calibration signal. The multi-tone method is superior to its single-tone counterpart. The PCal signal is a wide-band frequency comb derived from an…

Instrumentation and Methods for Astrophysics · Physics 2025-01-13 Jan Wagner , Sergei Pogrebenko

I define here a novel function on a modeled space of gravitational-wave signals, before studying its properties as a statistic for detection, as an objective function for identification, and as an effective likelihood function for…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Alvin J. K. Chua