Institut für Astronomie und Astrophysik

Abteilung Astronomie

Preprint B/95

On Generating Power Law Noise

J. Timmer(1) and M. König(2)

(1)Fakultät für Physik, Albert-Ludwigs-Universität, Hermann-Herder-Str. 3, D-79101 Freiburg
(2)Institut für Astronomie und Astrophysik, Astronomie, Universität Tübingen, Waldhäuser Str. 64, D-72076 Tübingen, Germany

1995, Astronomy & Astrophysics, 300, 707

Abstract. Based on the theory of spectral estimation we propose a new algorithm that is capable to produce the whole variety of possible non deterministic linear time series which exhibit a (1/f)^{beta}^ spectrum. The key point of the new algorithm is to randomize both the phase and the amplitude of the Fourier transform of the data according to its stochastic nature. One possible application is the simulation of AGN lightcurves as well to analyze measured data as to test proposed models.

Key words: X-rays: galaxies - methodes: statistical

Paper (93k gzip'ed Postscript including figures)

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Jürgen Barnstedt (barnstedt AT astro.uni-tuebingen.de) Last updated 10-Jul-1998