The Segmented Prony method for the analysis of non-stationary time series

Statistics – Computation

Scientific paper

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Active Galaxies, Autoregressive Processes, Computational Astrophysics, Prony Series, Time Series Analysis, Active Galactic Nuclei, Periodic Variations, X Ray Sources

Scientific paper

An extension of the classic Prony method for fitting a sum of damped sinusoids to experimental data is proposed. This new method, called the Segmented Prony's Method or SPM, is particularly suited to studying time-varying phenomena. It is based on a division of the observational interval into several short segments, where the signal can be assumed stationary. A model for the data, dependent on a set of parameters, is estimated by means of an efficient algorithm based on well-known recursions for the estimation of the autoregressive coefficients. An application to an X-ray observation of the active galaxy NGC 7314 is discussed.

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