V.V.Vityazev
SPbU
The paper presents a comparative study of the fundamentals, problems and techniques common to the spectral analysis of time series and interferometry. On the basis of the conceptional identity of the correlogram and visibility data, an attempt is made to adapt the aperture synthesis techniques well known in radio astronomy to the spectral analysis of time series. Two methods of synthesis a correlogram are proposed. The first one reproduces the idea of Ryle's interferometer and can be realized when averaging over statistical ensemble is possible. The second method is based on iterated correlograms and can be applied to a single curve with gaps. It is shown that our method yields, at least by iterations, a correlogram at all the points of the time span without gaps, and consequently clean spectra can be obtained. The method is described in detail and numerical examples are presented to illustrate the application of the algorithm to gapped astrometrical time series and to time series with the uneven precision of the measurements.