论文标题
连续重力波信号的傅立叶变换
The Fourier Transform of the Continuous Gravitational Wave Signal
论文作者
论文摘要
在多通信剂重力波（GW）天文学的新兴领域中，直接检测脉冲星的连续重力波是一个备受期待的发现。因为假定的脉冲星信号需要集成大量数据以达到所需的灵敏度。当代搜索使用巧妙的临时方法来降低计算复杂性。在本文中，我们为逼真的脉冲星信号的傅立叶变换提供了分析表达式。这提供了许多搜索方法使用的傅立叶域中Pulsar信号的歧管。我们分析了傅立叶变换的形状，并为固定频率引起的峰位置和大小提供明确的公式。我们将公式应用于对最近确定的离群值1891.76 Hz的分析。
The direct detection of continuous gravitational waves from pulsars is a much anticipated discovery in the emerging field of multi-messenger gravitational wave (GW) astronomy. Because putative pulsar signals are exceedingly weak large amounts of data need to be integrated to achieve desired sensitivity. Contemporary searches use ingenious ad-hoc methods to reduce computational complexity. In this paper we provide analytical expressions for the Fourier transform of realistic pulsar signals. This provides description of the manifold of pulsar signals in the Fourier domain, used by many search methods. We analyze the shape of the Fourier transform and provide explicit formulas for location and size of peaks resulting from stationary frequencies. We apply our formulas to analysis of recently identified outlier at 1891.76 Hz.
