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Improving Power Spectrum Estimation Using Multitapering: Efficient Asteroseismic Analyses for Understanding Stars, the Milky Way, and Beyond

  • Authors: Aarya A. Patil, Gwendolyn M. Eadie, Joshua S. Speagle, 佳士 沈, David J. Thomson

Aarya A. Patil et al 2024 The Astronomical Journal 168 .

  • Provider: AAS Journals

Caption: Figure 4.

Schematic diagram illustrating the estimation of the mtNUFFT periodogram described in Section 2.2.3. The left panel shows the Kepler-91 time series for which we compute the power spectrum estimate. The middle panels show three DPSS or Slepian tapers with time-bandwidth product NW = 2 and order k = 0, 1, 2 (number of tapers K = 2NW − 1), their corresponding tapered time series, and the single-tapered NUFFT periodograms. The rightmost panel shows the multi-tapered NUFFT or mtNUFFT periodogram that is constructed by averaging the three single-tapered estimates with adaptive weights d k (f).

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