Mathematics – Probability
Scientific paper
Aug 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..78..175k&link_type=abstract
Astrophysics and Space Science, vol. 78, no. 1, Aug. 1981, p. 175-188. Research supported by the Magyar Tudomanyos Akademia.
Mathematics
Probability
78
Background Noise, Error Analysis, Fourier Analysis, Frequency Shift, Signal Processing, Stellar Spectrophotometry, Data Reduction, Light Curve, Probability Distribution Functions, Spectrum Analysis, Variable Stars
Scientific paper
Error analysis of the frequency determination by conventional Fourier method is carried out. Taking into consideration only equidistant data, estimates are obtained on the accuracy of the frequencies deduced by analyzing a noise-free signal containing not more than two sinusoidal components with closely spaced frequencies. An important consequence of these results is considered to be the empirical distribution function of the frequencies for signals contaminated by noise and containing sufficiently distant frequencies.
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