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This paper introduces the multiband periodogram, a general extension of the well-known Lomb-Scargle approach for detecting periodic signals in time-domain data. In addition to advantages of the Lomb-Scargle method such as treatment of…

Instrumentation and Methods for Astrophysics · Physics 2015-10-14 Jacob T. VanderPlas , Zeljko Ivezic

We present a method enabling the creation of constant-uncertainty/constant-significance light curves with the data of the Fermi-Large Area Telescope (LAT). The adaptive-binning method enables more information to be encapsulated within the…

High Energy Astrophysical Phenomena · Physics 2015-06-03 B. Lott , L. Escande , S. Larsson , J. Ballet

The Large Synoptic Survey Telescope (LSST) will produce an unprecedented amount of light curves using six optical bands. Robust and efficient methods that can aggregate data from multidimensional sparsely-sampled time series are needed. In…

Instrumentation and Methods for Astrophysics · Physics 2018-05-21 Pablo Huijse , Pablo A. Estevez , Francisco Forster , Scott F. Daniel , Andrew J. Connolly , Pavlos Protopapas , Rodrigo Carrasco , Jose C. Principe

Ongoing and future surveys with repeat imaging in multiple bands are producing (or will produce) time-spaced measurements of brightness, resulting in the identification of large numbers of variable sources in the sky. A large fraction of…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Abhijit Saha , A. Katherina Vivas

Timing techniques offer powerful tools to study dynamical astrophysical phenomena. In the X-ray band, they offer the potential of probing accretion physics down to the event horizon. Recent work has used frequency and energy-dependent time…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Abderahmen Zoghbi , Chris Reynolds , Ed Cackett

Multiheterodyne techniques using frequency combs -- light sources whose lines are perfectly evenly-spaced -- have revolutionized optical science. By beating an unknown signal with the many lines of a comb, its spectrum is recovered.…

Optics · Physics 2020-04-23 David Burghoff

The ability to automatically and robustly self-verify periodicity present in time-series astronomical data is becoming more important as data sets rapidly increase in size. The age of large astronomical surveys has rendered manual…

Instrumentation and Methods for Astrophysics · Physics 2024-06-14 Niall Miller , Philip Lucas , Yi Sun , Zhen Guo , Calum Morris , William Cooper

A laser frequency combs is a broad spectrum composed of equidistant narrow lines. Initially invented for frequency metrology, such combs enable new approaches to spectroscopy over broad spectral bandwidths, of particular relevance to…

Optics · Physics 2019-03-01 Nathalie Picqué , Theodor W. Hänsch

The power density spectrum of a light curve is often calculated as the average of a number of spectra derived on individual time intervals the light curve is divided into. This procedure implicitly assumes that each time interval is a…

Instrumentation and Methods for Astrophysics · Physics 2011-08-25 Cristiano Guidorzi

In the era of rapidly increasing amounts of time series data, classification of variable objects has become the main objective of time-domain astronomy. Classification of irregularly sampled time series is particularly difficult because the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-21 Sven Dennis Kügler , Nikos Gianniotis , Kai Lars Polsterer

We present a light-storage experiment in a praseodymium-doped crystal where the light is mapped onto an inhomogeneously broadened optical transition shaped into an atomic frequency comb. After absorption of the light the optical excitation…

Astronomy light curves are sparse, gappy, and heteroscedastic. As a result standard time series methods regularly used for financial and similar datasets are of little help and astronomers are usually left to their own instruments and…

Instrumentation and Methods for Astrophysics · Physics 2018-02-27 Ashish Mahabal , Kshiteej Sheth , Fabian Gieseke , Akshay Pai , S. George Djorgovski , Andrew Drake , Matthew Graham , the CSS/CRTS/PTF Collaboration

The quasi-symmetric shape of the lightcurves, as seen in the X-rays and in the optical, together with the fast variations of the flux observed, suggest that the cooling time for the highest energy electrons may be shorter than the light…

Astrophysics · Physics 2007-05-23 Marco Chiaberge , Annalisa Celotti , Gabriele Ghisellini

For a real sequence of length of m = nl, we may deduce its congruence derivative sequence with length of l. The discrete Fourier transform of original sequence can be calculated by the discrete Fourier transform of the congruence derivative…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Jiasong Wang , Changchuan Yin

Gamma rays measured by the Fermi-LAT satellite tell us a lot about the processes taking place in high-energetic astrophysical objects. The fluxes coming from these objects are, however, extremely variable. Hence, gamma-ray light curves…

Instrumentation and Methods for Astrophysics · Physics 2025-02-13 Theo Glauch , Kristian Tchiorniy

We demonstrate a new computational illumination technique that achieves large space-bandwidth-time product, for quantitative phase imaging of unstained live samples in vitro. Microscope lenses can have either large field of view (FOV) or…

Optics · Physics 2015-10-16 Lei Tian , Ziji Liu , Li-Hao Yeh , Michael Chen , Jingshan Zhong , Laura Waller

Periodic light curve behavior predicted for some binary black hole systems might be detected in large samples, such as the multi-million quasar sample expected from the Large Synoptic Survey Telescope (LSST). We investigate the false-alarm…

Instrumentation and Methods for Astrophysics · Physics 2010-12-20 David B. Westman , Chelsea L. MacLeod , Zeljko Ivezic

Accurate time series analysis is essential for studying variable astronomical sources, where detecting periodicities and characterizing power spectral density (PSD) are crucial. The Lomb-Scargle periodogram, commonly used in astronomy for…

Instrumentation and Methods for Astrophysics · Physics 2024-11-06 Ezequiel Albentosa-Ruiz , Nicola Marchili

Broadband precision spectroscopy is indispensable for providing high fidelity molecular parameters for spectroscopic databases. We have recently shown that mechanical Fourier transform spectrometers based on optical frequency combs can…

Instrumentation and Detectors · Physics 2018-05-09 Lucile Rutkowski , Piotr Maslowski , Alexandra C. Johansson , Amir Khodabakhsh , Aleksandra Foltynowicz

We present the use of continuous-time autoregressive moving average (CARMA) models as a method for estimating the variability features of a light curve, and in particular its power spectral density (PSD). CARMA models fully account for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Brandon C. Kelly , Andrew C. Becker , Malgosia Sobolewska , Aneta Siemiginowska , Phil Uttley
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