A Fast Chi-Squared Technique for Period Search of Irregularly Sampled Data

A new, computationally and statistically efficient algorithm, the Fast y2 algorithm (Fy2), can find a periodic signal with harmonic content in irregularly sampled data with nonuniform errors. The algorithm calculates the minimized y2 as a function of frequency at the desired number of harmonics, usi...

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Bibliographic Details
Published inThe Astrophysical journal Vol. 695; no. 1; pp. 496 - 502
Main Author Palmer, David M
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 10.04.2009
IOP
Subjects
Astronomy
Earth, ocean, space
Exact sciences and technology
Statistical method
Data analysis
methods: statistical
methods: data analysis
stars: oscillations
Numerical method
methods: numerical
Online AccessGet full text
ISSN0004-637X
1538-4357
1538-4357
DOI10.1088/0004-637X/695/1/496

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Summary:A new, computationally and statistically efficient algorithm, the Fast y2 algorithm (Fy2), can find a periodic signal with harmonic content in irregularly sampled data with nonuniform errors. The algorithm calculates the minimized y2 as a function of frequency at the desired number of harmonics, using fast Fourier transforms to provide O(Nlog N) performance. The code for a reference implementation is provided.
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ISSN:0004-637X
1538-4357
1538-4357
DOI:10.1088/0004-637X/695/1/496