Discrete Fourier transforms of the series with randomly missed data: experimental tests.

Details Discrete Fourier transforms of the series with randomly missed data: experimental tests. Discrete Fourier transforms of the series with randomly missed data: experimental tests.

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992babel.145...17d&link_type=abstract

Bulletin Astronomique de Belgrade, No. 145, p. 17 - 24

Mathematics

Probability

Scientific paper

The errors of the period (P), the amplitude (A) and the phase (Ph) of the sinusoidal signal, computed by discrete Fourier transforms (DFT) formula, applied to the series with randomly missed data, have been examined. In the case of the uniform probability distribution of missed data, the error of P is negligible, while the error of A is increasing function of A and number of missed data N. For N given the ratio q = σA/A (σA-st.dev. of A) is constant. In fact q = q(N). Consequently, the phase standard deviation (σPh) is independent on A.

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