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Time series analysis is crucial in fields like finance, economics, environmental science, and biomedical engineering, aiding in forecasting, pattern identification, and understanding underlying mechanisms. While traditional time-domain…

Methodology · Statistics 2024-08-21 Jonathan de Souza Matias , Valderio Anselmo Reisen

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

We present a machine learning package for the classification of periodic variable stars. Our package is intended to be general: it can classify any single band optical light curve comprising at least a few tens of observations covering…

Instrumentation and Methods for Astrophysics · Physics 2016-02-17 Dae-Won Kim , Coryn A. L. Bailer-Jones

Time series analysis is fundamental to characterizing the variability inherent in multi-wavelength emissions from blazars. However, a major observational challenge lies in the need for well-sampled, temporally uniform data, which is often…

High Energy Astrophysical Phenomena · Physics 2025-10-23 P. Peñil , N. Torres-Albà , A. Rico , S. Buson , M. Ajello , A. Domínguez , S. Adhikari

We carry out a comparative analysis of the performance of three algorithms widely used to identify significant periodicities in radial-velocity (RV) datasets: the Generalised Lomb-Scargle Periodogram (GLS), its modified version based on…

Earth and Planetary Astrophysics · Physics 2017-05-10 M. Pinamonti , A. Sozzetti , A. S. Bonomo , M. Damasso

When the noise affecting time series is colored with unknown statistics, a difficulty for sinusoid detection is to control the true significance level of the test outcome. This paper investigates the possibility of using training data sets…

Statistics Theory · Mathematics 2017-02-08 Sophia Sulis , David Mary , Lionel Bigot

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

We search for signs of period doubling in CoRoT RR Lyrae stars. The occurrence of this dynamical effect in modulated RR Lyrae stars might help us to gain more information about the mysterious Blazhko effect. The temporal variability of the…

Solar and Stellar Astrophysics · Physics 2014-11-05 R. Szabó , J. M. Benkő , M. Paparó , E. Chapellier , E. Poretti , A. Baglin , W. W. Weiss , K. Kolenberg , E. Guggenberger , J. -F. Le Borgne

The Large Synoptic Survey Telescope (LSST) will provide for unbiased sampling of variability properties of objects with $r$ mag $<$ 24. This should allow for those objects whose variations reveal their orbital periods ($P_{orb}$), such as…

Instrumentation and Methods for Astrophysics · Physics 2019-01-09 Michael A. C. Johnson , Poshak Gandhi , Adriane P. Chapman , Luc Moreau , Philip A. Charles , William I. Clarkson , Adam B. Hill

The analysis of non-stationary signals in non-uniformly sampled data is a challenging task. Time-integrated methods, such as the generalised Lomb-Scargle (GLS) periodogram, provide a robust statistical assessment of persistent periodicities…

Signal Processing · Electrical Eng. & Systems 2026-02-09 Ashwini Kulkarni , Santosh Nannuru

Catalogs of periodic variable stars contain large numbers of periodic light-curves (photometric time series data from the astrophysics domain). Separating anomalous objects from well-known classes is an important step towards the discovery…

Machine Learning · Computer Science 2009-06-19 Umaa Rebbapragada , Pavlos Protopapas , Carla E. Brodley , Charles Alcock

Multiband sensing is a promising technology that utilizes multiple non-contiguous frequency bands to achieve high-resolution target sensing. In this paper, we investigate the fundamental limits and optimization of multiband sensing,…

Signal Processing · Electrical Eng. & Systems 2023-02-01 Yubo Wan , An Liu , Rui Du , Tony Xiao Han

From pulsating stars to transiting exoplanets, the search for periodic signals in K2 data, Kepler's 2-wheeled extension, is relevant to a long list of scientific goals. Systematics affecting K2 light curves due to the decreased spacecraft…

Solar and Stellar Astrophysics · Physics 2016-02-17 Ruth Angus , Daniel Foreman-Mackey , John A. Johnson

The Pan-STARRS 3$\pi$ survey has detected hundreds of thousands of variable stars thanks to its coverage and 4-year time span, even though the sampling of the light curves is relatively sparse. These light curves contain only 10-15…

Solar and Stellar Astrophysics · Physics 2024-08-27 Adrienn Forró , László Molnár , Emese Plachy , Áron Juhász , Róbert Szabó

This paper presents a new method for modelling periodic signals having an aperiodic trend, using the method of variable projection. It is a major extension to the IEEE-standard 1057 by permitting the background to be time varying;…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Johannes Handler , Dimitar Ninevski , Paul O'Leary

We present new periodograms that are effective in distinguishing Doppler shift from spectral shape variability in astronomical spectra. These periodograms, building upon the concept of partial distance correlation, separate the periodic…

Instrumentation and Methods for Astrophysics · Physics 2022-04-06 Avraham Binnenfeld , Sahar Shahaf , Richard I. Anderson , Shay Zucker

In this paper we present a multiresolution-based method for period determination that is able to deal with unevenly sampled data. This method allows us to detect superimposed periodic signals with lower signal-to-noise ratios than in…

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

Periodicity analysis of unevenly collected data is a relevant issue in several scientific fields. In astrophysics, for example, we have to find the fundamental period of light or radial velocity curves which are unevenly sampled…

Astrophysics · Physics 2009-10-31 R. Tagliaferri , A. Ciaramella , L. Milano , F. Barone , G. Longo

The Period--Luminosity relation (PLR) of Mira variable stars is an important tool to determine astronomical distances. The common approach of estimating the PLR is a two-step procedure that first estimates the Mira periods and then runs a…

Applications · Statistics 2022-12-14 Shiyuan He , Zhenfeng Lin , Wenlong Yuan , Lucas M. Macri , Jianhua Z. Huang

We complement the $y$-band template light curves for RR Lyrae to the well-established template light curves in the $ugriz$-band, where the latter have been adopted in the astroML/gatspy python package as one of the period-search methods for…

Solar and Stellar Astrophysics · Physics 2024-12-03 Chow-Choong Ngeow , Chia-Yu Cheng