Autoregressive Spectral Estimation for Quasi-Periodic Oscillations

Details Autoregressive Spectral Estimation for Quasi-Periodic Oscillations Autoregressive Spectral Estimation for Quasi-Periodic Oscillations

Oct 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005chjaa...5..495c&link_type=abstract

Chinese Journal of Astronomy and Astrophysics, Volume 5, Issue 5, pp. 495-507 (2005).

Astronomy and Astrophysics

Astrophysics

Scientific paper

Modern methods of spectral estimation based on parametric time-series models are useful tools in power spectral analysis. We apply the autoregressive (AR) model to study quasi-periodic oscillations (QPOs). An empirical formula to estimate the expectation and standard deviation of the noise AR power densities is derived, which can be used to estimate the statistical significance of an apparent QPO peak in an AR spectrum. An iterative adding-noise algorithm in AR spectral analysis is proposed and applied to studying QPOs in the X-ray binary Cir X-1.

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