Application of Fourier-analysis to the investigation of quasi-periodic signals in the rapid photometry data.

Physics

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Numerical Methods: Time Series

Scientific paper

The author presents the method of a quasi-periodic signal analysis for uniform time series applying Fourier-transform with the gliding rectangular window. The signal should satisfy certain conditions. The accuracy of a signal amplitude estimation is defined. The author considers the method of more precise definition of the signal frequency and amplitude if unknown frequency is different from node frequencies of Fourier-transform on the time interval separated by rectangular window. Parameters of functional dependence of the signal frequency on the time have been determined from a time-frequency diagram by the least square method. Numerical simulation shows that the accuracy of determination of searched values depends on the choice of the rectangular window width. A modification of the method is proposed in case of possible deviations from the accepted model of the quasi-periodic signal.

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