论文标题
确定脉冲星时期的新技术:瀑布主成分分析
New technique for determining a pulsar period: Waterfall principal component analysis
论文作者
论文摘要
本文介绍了一种新技术,用于确定脉冲星的最佳时期和其光曲线。实施的技术利用了应用于所谓的瀑布图的主要成分分析(PCA),这是PULSAR获得的数据的二维表示。在这种情况下,我们开发了Python软件包PYWPF,以使用呈现的方法轻松检索周期。我们将此技术应用于最明亮的脉冲星的数据集,并在快速光子反iqueye获得的可见光下。将我们的结果与通过不同和更古典的分析(例如时代折叠)获得的结果进行了比较,这表明在错误中确定的时期是一致的,并且与瀑布-PCA折叠技术相关的误差略小于$χ^2 $ epoch折叠技术所获得的误差。我们还模拟了极度嘈杂的情况,表明,通过与瀑布 - pca折叠相关的新功绩函数,就$χ^2 $ epoch折叠技术而言,有可能对确定的周期获得更大的信心。
This paper describes a new technique for determining the optimal period of a pulsar and consequently its light curve. The implemented technique makes use of the Principal Component Analysis (PCA) applied to the so-called waterfall diagram, which is a bidimensional representation of the pulsar acquired data. In this context we have developed the python package pywpf to easily retrieve the period with the presented method. We applied this technique to sets of data of the brightest pulsars in visible light that we obtained with the fast photon counter Iqueye. Our results are compared with those obtained by different and more classical analyses (e.g., epoch folding), showing that the periods so determined agree within the errors, and that the errors associated to the waterfall-PCA folding technique are slightly smaller than those obtained by the $χ^2$ epoch folding technique. We also simulated extremely noisy situations, showing that by means of a new merit function associated to the waterfall-PCA folding it is possible to get more confidence on the determined period with respect to the $χ^2$ epoch folding technique.