The analysis of periodicities in irregularly sampled data

Details The analysis of periodicities in irregularly sampled data The analysis of periodicities in irregularly sampled data

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mnras.196..583p&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 196, Aug. 1981, p. 583-596.

Astronomy and Astrophysics

Astronomy

46

Astronomical Spectroscopy, Data Sampling, Fast Fourier Transformations, Periodic Variations, Power Spectra, Stellar Spectra, Error Analysis, Green'S Functions, Irregularities, X Ray Sources

Scientific paper

The use of standard Fourier techniques to produce power spectra is limited to data which are sampled at regular intervals. This is not always easily achieved in astronomy, nor is it entirely desirable since it introduces ambiguities into the interpretation of the resulting power spectra. A method is presented for producing spectral estimates from data which may be weighted and sampled at any intervals. A Green's function approach is introduced to help identify aliases, and a formula given which enables the significance of peaks to be ascertained. Finally, an analysis of the X-ray intensity of Cygnus X-3 is used to illustrate the method.

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