A heuristic derivation of the uncertainty for frequency determination in time series data
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TLDR
In this paper, a simple, but realistic, estimate of the frequency uncertainty in time-series analyses is presented, which is based on a simple formula for the upper limit of the amplitude, frequency, and phase uncertainties.Abstract:
Context. Several approaches to estimating frequency, phase, and amplitude errors in time-series analyse have been reported in the literature, but they are either time-consuming to compute, grossly overestimating the error, or are based on empirically determined criteria.Aims. A simple, but realistic estimate of the frequency uncertainty in time-series analyses is our goal here.Methods. Synthetic data sets with mono- and multi-periodic harmonic signals and with randomly distributed amplitude, frequency, and phase were generated and white noise added. We tried to recover the input parameters with classical Fourier techniques and investigated the error as a function of the relative level of noise, signal, and frequency difference.Results. We present simple formulas for the upper limit of the amplitude, frequency, and phase uncertainties in time-serie analyses. We also demonstrate the possibility of detecting frequencies that are separated by less than the classical frequency resolution and of finding that the realistic frequency error is at least 4 times smaller than the classical frequency resolution.read more
Citations
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BRITE-Constellation: Nanosatellites for Precision Photometry of Bright Stars
Werner W. Weiss,Slavek M. Rucinski,A. F. J. Moffat,A. Schwarzenberg-Czerny,Otto Koudelka,Cordell Grant,Robert E. Zee,Rainer Kuschnig,St. Mochnacki,Jaymie M. Matthews,Piotr Orleanski,A. A. Pamyatnykh,Andrzej Pigulski,João Alves,Manuel Guedel,Gerald Handler,Gregg A. Wade,Konstanze Zwintz +17 more
TL;DR: BRITE-Constellation as mentioned in this paper is an international nanosatellite mission to monitor photometrically, in two colours, the brightness and temperature variations of stars generally brighter than mag(V) ≈ 4 with precision and time coverage not possible from the ground.
Journal ArticleDOI
BRITE-Constellation: nanosatellites for precision photometry of bright stars
Werner W. Weiss,Slavek M. Rucinski,A. F. J. Moffat,A. Schwarzenberg-Czerny,Otto Koudelka,Cordell Grant,Robert E. Zee,Rainer Kuschnig,St. Mochnacki,Jaymie M. Matthews,Piotr Orleanski,A. A. Pamyatnykh,Andrzej Pigulski,João Alves,Manuel Guedel,Gerald Handler,Gregg A. Wade,Konstanze Zwintz +17 more
TL;DR: BRITE-Constellation as mentioned in this paper is an international nanosatellite mission to monitor photometrically, in two colours, the brightness and temperature variations of stars generally brighter than mag(V) ~ 4, with precision and time coverage not possible from the ground.
Journal ArticleDOI
Asteroseismic measurement of slow, nearly uniform surface-to-core rotation in the main-sequence F star KIC 9244992
Hideyuki Saio,D. W. Kurtz,Masao Takata,Hiromoto Shibahashi,Simon J. Murphy,Simon J. Murphy,Takashi Sekii,Timothy R. Bedding,Timothy R. Bedding +8 more
TL;DR: In this paper, a rotationally split series of core g-mode triplets and surface p-mode multiplets in a main sequence F star, KIC 9244992, was found.
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Asteroseismic analysis of the CoRoT \delta-Scuti star HD174936
A. García Hernández,A. Moya,E. Michel,R. Garrido,J. C. Suárez,Eugenia Sánchez Rodríguez,Pedro J. Amado,Susana Martín-Ruiz,A. Rolland,E. Poretti,R. Samadi,A. Baglin,M. Auvergne,C. Catala,Laure Lefèvre,F. Baudin +15 more
TL;DR: In this article, an analysis of the δ-scuti star object HD 174936 (ID 7613) observed by CoRoT during the first short run SRc01 (27 days) is presented.
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The B0.5IVe CoRoT target HD 49330 - I. Photometric analysis from CoRoT data
A. L. Huat,Anne-Marie Hubert,F. Baudin,Michele Floquet,Coralie Neiner,Y. Frémat,Y. Frémat,Juan Gutiérrez-Soto,L. Andrade,B. de Batz,P. D. Diago,Marcelo Emilio,F. Espinosa Lara,Juan Fabregat,Eduardo Janot-Pacheco,B. Leroy,Christophe Martayan,Christophe Martayan,T. Semaan,J. Suso,M. Auvergne,C. Catala,Eric Michel,R. Samadi +23 more
TL;DR: In this article, the pulsational behavior of the early B0.5IVe star HD 49330 observed during the first CoRoT long run towards the Galactical anticenter (LRA1) was analyzed.
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