Detecting non-sinusoidal periodicities in observational data using multiharmonic periodograms

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Detecting non-sinusoidal periodicities in observational data using multiharmonic periodograms. / Baluev, Roman V.

в: Monthly Notices of the Royal Astronomical Society, Том 395, № 3, 01.05.2009, стр. 1541-1548.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{c2c8f0d3a75a4841bfbd03a720ff37e3,

title = "Detecting non-sinusoidal periodicities in observational data using multiharmonic periodograms",

abstract = "We address the problem of assessing the statistical significance of candidate periodicities found using the so-called 'multiharmonic' periodogram, which is being used for detection of non-sinusoidal signals and is based on the least-squares fitting of truncated Fourier series. The recent author's investigation made for the Lomb-Scargle periodogram is extended to the more general multiharmonic periodogram. As a result, closed and efficient analytic approximations to the false alarm probability, associated with multiharmonic periodogram peaks, are obtained. The resulting analytic approximations are tested under various conditions using Monte Carlo simulations. The simulations showed a nice precision and robustness of these approximations.",

keywords = "Methods: data analysis, Methods: statistical, Surveys",

author = "Baluev, {Roman V.}",

year = "2009",

month = may,

day = "1",

doi = "10.1111/j.1365-2966.2009.14634.x",

language = "English",

volume = "395",

pages = "1541--1548",

journal = "Monthly Notices of the Royal Astronomical Society",

issn = "0035-8711",

publisher = "Wiley-Blackwell",

number = "3",

}

RIS

TY - JOUR

T1 - Detecting non-sinusoidal periodicities in observational data using multiharmonic periodograms

AU - Baluev, Roman V.

PY - 2009/5/1

Y1 - 2009/5/1

N2 - We address the problem of assessing the statistical significance of candidate periodicities found using the so-called 'multiharmonic' periodogram, which is being used for detection of non-sinusoidal signals and is based on the least-squares fitting of truncated Fourier series. The recent author's investigation made for the Lomb-Scargle periodogram is extended to the more general multiharmonic periodogram. As a result, closed and efficient analytic approximations to the false alarm probability, associated with multiharmonic periodogram peaks, are obtained. The resulting analytic approximations are tested under various conditions using Monte Carlo simulations. The simulations showed a nice precision and robustness of these approximations.

AB - We address the problem of assessing the statistical significance of candidate periodicities found using the so-called 'multiharmonic' periodogram, which is being used for detection of non-sinusoidal signals and is based on the least-squares fitting of truncated Fourier series. The recent author's investigation made for the Lomb-Scargle periodogram is extended to the more general multiharmonic periodogram. As a result, closed and efficient analytic approximations to the false alarm probability, associated with multiharmonic periodogram peaks, are obtained. The resulting analytic approximations are tested under various conditions using Monte Carlo simulations. The simulations showed a nice precision and robustness of these approximations.

KW - Methods: data analysis

KW - Methods: statistical

KW - Surveys

UR - http://www.scopus.com/inward/record.url?scp=65649105808&partnerID=8YFLogxK

U2 - 10.1111/j.1365-2966.2009.14634.x

DO - 10.1111/j.1365-2966.2009.14634.x

M3 - Article

AN - SCOPUS:65649105808

VL - 395

SP - 1541

EP - 1548

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 3

ER -

ID: 36296238