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arXiv 1601.00650astro-ph.IM
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脉冲星定时噪声分析的跨维贝叶斯方法

A Trans-dimensional Bayesian Approach to Pulsar Timing Noise Analysis

Justin Ellis, Neil Cornish

摘要:

脉冲星计时残差数据中的本征噪声建模对于引力波探测和脉冲星计时(天文)物理研究具有重要意义。雷达中的噪声预算是几种研究得很好的效应的集合,包括辐射计噪声、脉冲相位抖动噪声、色散测量(DM)变化和低频自旋噪声。然而,随着脉冲星定时数据的不断改进,非平稳和非幂律噪声项开始显现,这是目前的噪声分析技术没有很好地建模。在这项工作中,我们使用跨维的方法来模拟这些非平稳和非幂律效应,通过使用小波基和插值为基础的自适应谱建模。在这两种情况下,小波的数量和内插频谱中的控制点的数量都是自由参数,它们受到数据的约束,然后在最终的推断中被边缘化,从而完全结合了我们对噪声模型的忽略。我们表明,这些新的方法优于标准技术时,非平稳和非幂律噪声存在。我们还表明,这些方法返回的结果与标准的分析时,没有这样的信号是存在的。

英文摘要:

The modeling of intrinsic noise in pulsar timing residual data is of crucial importance for Gravitational Wave (GW) detection and pulsar timing (astro)physics in general. The noise budget in pulsars is a collection of several well studied effects including radiometer noise, pulse-phase jitter noise, dispersion measure (DM) variations, and low frequency spin noise. However, as pulsar timing data continues to improve, non-stationary and non-powerlaw noise terms are beginning to manifest which are not well modeled by current noise analysis techniques. In this work we use a trans-dimensional approach to model these non-stationary and non-powerlaw effects through the use of a wavelet basis and an interpolation based adaptive spectral modeling. In both cases, the number of wavelets and the number of control points in the interpolated spectrum are free parameters that are constrained by the data and then marginalized over in the final inferences, thus fully incorporating our ignorance of the noise model. We show that these new methods outperform standard techniques when non-stationary and non-powerlaw noise is present. We also show that these methods return results consistent with the standard analyses when no such signals are present.

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