A Fast Chi-squared Technique For Period Search of Irregularly Sampled Data

Details A Fast Chi-squared Technique For Period Search of Irregularly Sampled Data A Fast Chi-squared Technique For Period Search of Irregularly Sampled Data

2009-01-14

arxiv.org/abs/0901.1913v1

Astrophys.J.695:496-502,2009

Physics

Data Analysis, Statistics and Probability

Source code for the reference implementation is available at http://public.lanl.gov/palmer/fastchi.html . Accepted by ApJ. 24

Scientific paper

10.1088/0004-637X/695/1/496

A new, computationally- and statistically-efficient algorithm, the Fast $\chi^2$ algorithm, can find a periodic signal with harmonic content in irregularly-sampled data with non-uniform errors. The algorithm calculates the minimized $\chi^2$ as a function of frequency at the desired number of harmonics, using Fast Fourier Transforms to provide $O (N \log N)$ performance. The code for a reference implementation is provided.

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