Keplerian periodogram for Doppler exoplanet detection: optimized computation and analytic significance thresholds

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Keplerian periodogram for Doppler exoplanet detection: optimized computation and analytic significance thresholds. / Baluev, Roman V.

In: Monthly Notices of the Royal Astronomical Society, Vol. 446, No. 2, 2015.

Research output: Contribution to journal › Article

BibTeX

@article{4e4dc43feba24be1bbfd1c188f81a5d8,

title = "Keplerian periodogram for Doppler exoplanet detection: optimized computation and analytic significance thresholds",

abstract = "We consider the so-called Keplerian periodogram, in which the putative detectable signal is modelled by a highly non-linear Keplerian radial velocity function, appearing in Doppler exoplanetary surveys. We demonstrate that for planets on high-eccentricity orbits the Keplerian periodogram is far more efficient than the classic Lomb-Scargle periodogram and even the multiharmonic periodograms, in which the periodic signal is approximated by a truncated Fourier series. We provide a new numerical algorithm for computation of the Keplerian periodogram. This algorithm adaptively increases the parametric resolution where necessary, in order to uniformly cover all local optima of the Keplerian fit. Thanks to this improvement, the algorithm provides more smooth and reliable results with minimized computing demands. We also derive a fast analytic approximation to the false alarm probability levels of the Keplerian periodogram. This approximation has the form (Pz3/2 + Qz)Wexp ( - z), where z is the observed periodogram m",

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

year = "2015",

doi = "10.1093/mnras/stu2191",

language = "English",

volume = "446",

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

issn = "0035-8711",

publisher = "Wiley-Blackwell",

number = "2",

}

RIS

TY - JOUR

T1 - Keplerian periodogram for Doppler exoplanet detection: optimized computation and analytic significance thresholds

AU - Baluev, Roman V.

PY - 2015

Y1 - 2015

N2 - We consider the so-called Keplerian periodogram, in which the putative detectable signal is modelled by a highly non-linear Keplerian radial velocity function, appearing in Doppler exoplanetary surveys. We demonstrate that for planets on high-eccentricity orbits the Keplerian periodogram is far more efficient than the classic Lomb-Scargle periodogram and even the multiharmonic periodograms, in which the periodic signal is approximated by a truncated Fourier series. We provide a new numerical algorithm for computation of the Keplerian periodogram. This algorithm adaptively increases the parametric resolution where necessary, in order to uniformly cover all local optima of the Keplerian fit. Thanks to this improvement, the algorithm provides more smooth and reliable results with minimized computing demands. We also derive a fast analytic approximation to the false alarm probability levels of the Keplerian periodogram. This approximation has the form (Pz3/2 + Qz)Wexp ( - z), where z is the observed periodogram m

AB - We consider the so-called Keplerian periodogram, in which the putative detectable signal is modelled by a highly non-linear Keplerian radial velocity function, appearing in Doppler exoplanetary surveys. We demonstrate that for planets on high-eccentricity orbits the Keplerian periodogram is far more efficient than the classic Lomb-Scargle periodogram and even the multiharmonic periodograms, in which the periodic signal is approximated by a truncated Fourier series. We provide a new numerical algorithm for computation of the Keplerian periodogram. This algorithm adaptively increases the parametric resolution where necessary, in order to uniformly cover all local optima of the Keplerian fit. Thanks to this improvement, the algorithm provides more smooth and reliable results with minimized computing demands. We also derive a fast analytic approximation to the false alarm probability levels of the Keplerian periodogram. This approximation has the form (Pz3/2 + Qz)Wexp ( - z), where z is the observed periodogram m

U2 - 10.1093/mnras/stu2191

DO - 10.1093/mnras/stu2191

M3 - Article

VL - 446

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 2

ER -

ID: 3924916