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Damped sinusoidal oscillations are widely observed in many physical systems, and their analysis provides access to underlying physical properties. However, parameter estimation becomes difficult when the signal decays rapidly, multiple…

Machine Learning · Computer Science 2026-04-07 Momoka Iida , Hayato Motohashi , Hirotaka Takahashi

We present an efficient method for fast, complete, and accurate detection of unstable periodic orbits in chaotic systems. Our method consists of a new iterative scheme and an effective technique for selecting initial points. The iterative…

chao-dyn · Physics 2009-10-31 Ruslan L. Davidchack , Ying-Cheng Lai

This paper considers the problem of frequency estimation for a multi-sinusoidal signal consisting of n sinuses in finite-time. The parameterization approach based on applying delay operators to a measurable signal is used. The result is the…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Anastasiia Vediakova , Alexey Vedyakov , Anton Pyrkin , Alexey Bobtsov , Vladislav Gromov

We present different computational approaches for the rapid extraction of the signal parameters of discretely sampled damped sinusoidal signals. We compare time- and frequency-domain-based computational approaches in terms of their accuracy…

Instrumentation and Detectors · Physics 2020-10-23 Jim C. Visschers , Emma Wilson , Thomas Conneely , Andrey Mudrov , Lykourgos Bougas

In this technical communique, we propose a novel observer-based adaptive scheme to deal with the parameter estimation problem of biased sinusoidal signals. Different from the existing adaptive frequency estimation scheme, the proposed…

Dynamical Systems · Mathematics 2020-12-29 Shang Shi , Huifang Min , Shihong Ding

In Polarization Discrimination Imaging, the amplitude of a sinusoid from a rotating analyzer, representing residual polarized light and carrying information on the object, is detected with the help of a lock-in amplifier. When turbidity…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Samudra Dasgupta , Jithun Nair , Shauryadipta Sarkar , Ram Mohan Vasu , Gargeshwari Venkatasubbiah Anand

Spectrum anomaly detection is of great importance in wireless communication to secure safety and improve spectrum efficiency. However, spectrum anomaly detection faces many difficulties, especially in unauthorized frequency bands. For…

Signal Processing · Electrical Eng. & Systems 2021-04-20 Jing Xu , Yu Tian , Shuai Yuan , Naijin Liu

In this paper we present a wavelet based algorithm that is able to detect superimposed periodic signals in data with low signal-noise ratio. In this context, the results given by classical period determination methods highly depend on the…

Astrophysics · Physics 2007-05-23 X. Otazu , M. Ribo , M. Peracaula , J. M. Paredes , J. Nunez

Astrophysical time series often contain periodic signals. The large and growing volume of time series data from photometric surveys demands computationally efficient methods for detecting and characterizing such signals. The most efficient…

Instrumentation and Methods for Astrophysics · Physics 2021-02-09 John Hoffman , Jacob Vanderplas , Joel Hartman , Gaspar Bakos

We present an approach for the detection of sharp change points (short-lived and persistent) in nonlinear and nonstationary dynamic systems under high levels of noise by tracking the local phase and amplitude synchronization among the…

Data Analysis, Statistics and Probability · Physics 2020-08-04 Ashif Sikandar Iquebal , Satish Bukkapatnam , Arun Srinivasa

We propose a decomposition method for the spectral peaks in an observed frequency spectrum, which is efficiently acquired by utilizing the Fast Fourier Transform. In contrast to the traditional methods of waveform fitting on the spectrum,…

Signal Processing · Electrical Eng. & Systems 2022-04-19 Kaan Gokcesu , Hakan Gokcesu

Molecular communication requires low-complexity symbol detection algorithms to deal with the many sources of uncertainty that are inherent in these channels. This paper proposes two variants of a high-performance asynchronous peak detection…

Information Theory · Computer Science 2017-02-27 Adam Noel , Andrew W. Eckford

We introduce and test several novel approaches for periodicity detection in unevenly-spaced sparse datasets. Specifically, we examine five different kinds of periodicity metrics, which are based on non-parametric measures of serial…

Instrumentation and Methods for Astrophysics · Physics 2016-01-07 Shay Zucker

We consider the sequential change-point detection for asynchronous multi-sensors, where each sensor observe a signal (due to change-point) at different times. We propose an asynchronous Subspace-CUSUM procedure based on jointly estimating…

Applications · Statistics 2019-01-25 Liyan Xie , Yao Xie , George V. Moustakides

This paper describes how a priori information about the signal parameters can influence the accuracy of estimating the number of these signals. This study considers sinusoidal signals and it is supposed that the parameters (amplitudes,…

Signal Processing · Electrical Eng. & Systems 2020-09-03 Aleksandr Kharin , Oleg V. Chernoyarov

Experiments conducted since 2018, using three geographically spaced synchronized radio telescopes, and a radio interferometer, indicate the presence of anomalous narrow bandwidth pulse pairs, conjectured to be sourced from a celestial…

Signal Processing · Electrical Eng. & Systems 2024-11-05 William J. Crilly

Low-noise, efficient, phase-sensitive time-domain optical detection is essential for foundational tests of quantum physics based on optical quantum states and the realization of numerous applications ranging from quantum key distribution to…

Quantum Physics · Physics 2013-07-18 Merlin Cooper , Christoph Söller , Brian J. Smith

This paper proposes an efficient algorithmic approach that overcomes the critical challenges in the real-time unbalanced distribution system state estimation, topology error processing, and outage identification simultaneously: (1) Limited…

Optimization and Control · Mathematics 2021-05-24 Zahra Soltani , Shanshan Ma , Mojdeh Khorsand , Vijay Vittal

Active, non-parametric peak detection is considered. As a use case, active source localization is examined and an uncertainty-based sampling scheme algorithm to effectively localize the peak from a few energy measurements is designed. It is…

Information Theory · Computer Science 2022-05-06 Praneeth Narayanamurthy , Urbashi Mitra

In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic parametric techniques introduced by Fliess and Sira-Ramirez. We apply a similar strategy…

Numerical Analysis · Mathematics 2011-05-17 Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti