ASPCS
 
Back to Volume
Paper: Time Series Analysis of Unequally Spaced Data: Intercomparison Between Estimators of the Power Spectrum
Volume: 125, Astronomical Data Analysis Software and Systems VI
Page: 166
Authors: Vityazev, V. V.
Abstract: It is shown that the likeness of the periodogram and the LS-spectrum (both estimators of the power spectrum are widely used in the spectral analysis of time series), depends on the properties of the spectral window W(omega ) corresponding to the distribution of time points. The main results are: a) all the estimators evaluated at frequency omega are identical if W(2omega )=0; b) the Schuster periodogram differs from the LS-spectra at the frequencies omega =hat ω_k/2, where hat ω_k are the frequencies at which the spectral window has large side peaks due to irregular distribution of time points. Two examples for situations typical in astronomy illustrate these conclusions.
Back to Volume