| Autoregressive Spectral Estimation for Quasi-Periodic Oscillations |
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| 作者姓名： | Li Chen and Ti-Pei Li |
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| 作者单位： | Li Chen and Ti-Pei Li Department of Astronomy，Beijing Normal University，Beijing 100875; Center for Astrophysics，Tsinghua University，Beijing 100084 Key Lab. of Particle Astrophysics，Inst. of High Energy Physics，Chinese Academy of Sciences，Beijing 100039 |
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| 基金项目： | Supported by the National Natural Science Foundation of China and by the State Basic Science Research Projects of China. |
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| 摘 要： | 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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| 关 键 词： | 天体物理学 射线 振动分析 光谱 |
Autoregressive Spectral Estimation for Quasi-Periodic Oscillations |
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| Li Chen and Ti-Pei Li.Autoregressive Spectral Estimation for Quasi-Periodic Oscillations[J].Chinese Journal of Astronomy and Astrophysics,2005,5(5):495-507. |
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| Authors: | Li Chen Ti-Pei Li |
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| Institution: | [1]Department of Astronomy, Beijing Normal University, Beijing 100875 [2]Center for Astrophysics, Tsinghua University, Beijing 100084 [3]Key Lab. of Particle Astrophysics, Inst. of High Energy Physics, Chinese Academy ofSciences, Beijing 100039 |
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| Abstract: | 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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| Keywords: | methods: data analysis - stars: individual (Circinus X-1) - X-rays: stars |
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