The analysis of indexed astronomical time series – XII. The statistics of oversampled Fourier spectra of noise plus a single sinusoid | Zendy

C. Koen | Zendy

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The analysis of indexed astronomical time series – XII. The statistics of oversampled Fourier spectra of noise plus a single sinusoid

Author(s) -

C. Koen

Publication year - 2015

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/stv1744

Subject(s) - physics , series (stratigraphy) , noise (video) , gaussian noise , fourier series , maxima , gaussian , statistics , mathematical analysis , algorithm , mathematics , art , paleontology , quantum mechanics , artificial intelligence , performance art , computer science , image (mathematics) , biology , art history

With few exceptions, theoretical studies of periodogram properties focus on pure noise time series. This paper considers the case in which the time series consists of noise together with a single sinusoid, observed at regularly spaced time points. The distribution of the periodogram ordinates in this case is shown to be of exponentially modified Gaussian form. Simulations are used to demonstrate t...

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