The generalised Lomb-Scargle periodogram. A new formalism for the floating-mean and Keplerian periodograms

  title={The generalised Lomb-Scargle periodogram. A new formalism for the floating-mean and Keplerian periodograms},
  author={Mathias Zechmeister and Martin Kurster},
  journal={Astronomy and Astrophysics},
The Lomb-Scargle periodogram is a common tool in the frequency analysis of unequally spaced data equivalent to least-squares fitting of sine waves. We give an analytic solution for the generalisation to a full sine wave fit, including an offset and weights (χ 2 fitting). Compared to the Lomb-Scargle periodogram, the generalisation is superior as it provides more accurate frequencies, is less susceptible to aliasing, and gives a much better determination of the spectral intensity. Only a few… 

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