引力波探测器信号与瞬时时频图的比较
Comparison of Signals from Gravitational Wave Detectors with Instantaneous Time-Frequency Maps
摘要：
引力波天文学依赖于多个探测器的使用，这样，重合的探测可以区分真实的信号和仪器的伪影，并且信号的相对定时可以提供源的天空位置。我们表明，由希尔伯特-黄变换（HHT）提供的瞬时时间-频率和时间-幅度图的比较可以有效地用于常见信号的相对信号定时，区分相同的重合信号和随机噪声重合的情况，并提供基于其时间-频率轨迹的信号分类。比较是用卡方拟合优度方法完成的，该方法包括来自HHT的瞬时幅度和频率分量的贡献，以在时域中匹配两个信号。这种方法自然允许分析具有强频率调制的波形。
英文摘要：
Gravitational wave astronomy relies on the use of multiple detectors, so that coincident detections may distinguish real signals from instrumental artifacts, and also so that relative timing of signals can provide the sky position of sources. We show that the comparison of instantaneous time-frequency and time- amplitude maps provided by the Hilbert-Huang Transform (HHT) can be used effectively for relative signal timing of common signals, to discriminate between the case of identical coincident signals and random noise coincidences, and to provide a classification of signals based on their time-frequency trajectories. The comparison is done with a chi-square goodness-of-fit method which includes contributions from both the instantaneous amplitude and frequency components of the HHT to match two signals in the time domain. This approach naturally allows the analysis of waveforms with strong frequency modulation.
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