Astronomical time-series analysis - III. The role of the observational errors in the minimum entropy method

Details Astronomical time-series analysis - III. The role of the observational errors in the minimum entropy method Astronomical time-series analysis - III. The role of the observational errors in the minimum entropy method

Aug 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999mnras.307..941c&link_type=abstract

Monthly Notices, Volume 307, Issue 4, pp. 941-948.

Computer Science

Performance

Scientific paper

In two recent papers a new method for searching for periodicity in time series was introduced. It takes advantage of the Shannon entropy to compute the amount of information contained in the light curve of a given signal as a function of a supposed period p. The basic result is that, if the signal is T-periodic, the entropy is then minimum when pT. Also, there is theoretical and numerical evidence that the minimum entropy method is more sensitive to the presence of periodicity and has a higher resolution power than other classical techniques. In the present work the discussion is focused on the way in which the observational errors have to be included in the method. The application of the resulting modified algorithm to real data and a performance comparison with the former algorithm are presented. The dependence of both periodograms on the size of the partition is also investigated. Analytical estimates are given only for the limiting case of small errors. The numerical results show that the new algorithm leads to a smoother periodogram and provides a higher significance for the minimum than the former algorithm.

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