A comparison of the Fourier, Jurkevich, and Stellingwerf methods of period estimation

Statistics – Computation

Scientific paper

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Computational Astrophysics, Fourier Analysis, Periodic Variations, Variable Stars, Data Simulation, Maximum Likelihood Estimates, Statistical Analysis

Scientific paper

The local structure near the sinusoid f0 is examined for the Fourier, Jurkevich, and Stellingwerf period estimation techniques in the simplest case of a single noisy sinusoid. Evidence is sought for the superiority of the non-Fourier techniques in terms of frequency and amplitude estimation. The background noise field in the periodograms is examined to seek evidence of better noise immunity for the non-Fourier techniques. The results indicate that the sought-for superiority is not found.

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