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A novel period estimation method for X-ray pulsars based on frequency subdivision

机译:基于频分的X射线脉冲星周期估计新方法

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period estimation of X-ray pulsars plays an important role in X-ray pulsar based navigation (XPNAV). The fast Lomb periodogram is suitable for period estimation of X-ray pulsars, but its performance in terms of frequency resolution is limited by data length and observation time. Longer observation time or oversampling can be employed to improve frequency analysis results, but with greatly increased computational complexity and large amounts of sampling data. This greatly restricts real-time autonomous navigation based on X-ray pulsars. To resolve this issue, a new method based on frequency subdivision and the continuous Lomb periodogram (CLP) is proposed to improve precision of period estimation using short-time observation data. In the proposed method, an initial frequency is first calculated using fast Lomb periodogram. Then frequency subdivision is performed near the initial frequency to obtain frequencies with higher precision. Finally, a refined period is achieved by calculating the CLP in the obtained frequencies. Real data experiments show that when observation time is shorter than 135 s, the proposed method improves period estimation precision by 1–3 orders of magnitude compared with the fast Lomb periodogram and fast Fourier transform (FFT) methods, with only a slight increase in computational complexity. Furthermore, the proposed method performs better than efsearch (a period estimation method of HEAsoft) with lower computational complexity. The proposed method is suitable for estimating periods of X-ray pulsars and obtaining the rotation period of variable stars and other celestial bodies.
机译:X射线脉冲星的周期估计在基于X射线脉冲星的导航(XPNAV)中起着重要作用。快速的Lomb周期图适用于X射线脉冲星的周期估计,但其在频率分辨率方面的性能受到数据长度和观测时间的限制。可以使用更长的观察时间或过采样来改善频率分析结果,但是会大大增加计算复杂性和大量采样数据。这极大地限制了基于X射线脉冲星的实时自主导航。为了解决这个问题,提出了一种基于频率细分和连续Lomb周期图(CLP)的新方法,以提高使用短时观测数据进行周期估计的精度。在提出的方法中,首先使用快速Lomb周期图计算初始频率。然后,在初始频率附近进行频率细分,以获得具有更高精度的频率。最后,通过在获得的频率中计算CLP来获得精炼周期。实际数据实验表明,与快速Lomb周期图和快速傅立叶变换(FFT)方法相比,当观察时间短于135 s时,该方法将周期估计精度提高了1-3个数量级,而计算量仅略有增加复杂。此外,所提出的方法比efsearch(HEAsoft的周期估计方法)性能更好,且计算复杂度较低。该方法适用于估计X射线脉冲星的周期,并获得变星和其他天体的自转周期。

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