SGER: Application of the Hilbert-Huang Transform to LIGO Data Analysis

这个SGER为博士后提供一半的支持，用于将希尔伯特-黄变换（HHT）应用于激光干涉仪引力波天文台（LIGO）的数据。 博士后将与戈达德太空飞行中心的共同PI乔丹坎普博士密切合作。 该项目将有两个主要领域：（1）HHT应用于LIGO探测器表征，以研究傅立叶或小波分析根本无法获得的细节水平的非线性和仪器瞬态效应。 这包括开发HHT探测器表征软件，并在PI教授Peter Shawhan的监督下将其安装在LIGO站点;（2）将HHT应用于短脉冲探测搜索，调频波形，如黑洞双星合并信号。 该奖项的博士后将由NASA共同支持与激光干涉仪空间天线（丽莎）密切相关的研究。LIGO研究的一个重要领域是开发数据分析算法，以表征探测器噪声和搜索瞬态信号。 数据分析工作是紧迫的，因为LIGO现在承担了为期一年的S5科学运行在全设计灵敏度。 HHT是NASA /戈达德空间飞行中心最近发展起来的一种新的时频分析方法，专门用于分析瞬态、非线性信号。 HHT是自适应的，不分解数据到一个固定的基集，因此，它不受限制的时频不确定性关系特性的傅立叶或小波分析。 因此，HHT可以提供非常高的时间和频率分辨率的引力波数据，导致仪器表征和信号检测的显着影响。

This SGER provides half the support for a postdoc to work on the application of the Hilbert-Huang Transform (HHT) to data for the Laser Interferometer Gravitational-wave Observatory (LIGO). The postdoc will work closely with co-PI Dr. Jordan Camp at the Goddard Space Flight Center. This project will have two main areas: (1) Application of the HHT to LIGO detector characterization to study nonlinear and instrumental transient effects at a level of detail that is fundamentally unavailable to Fourier or wavelet analysis. This includes development HHT detector characterization software and its installation at the LIGO sites supervised by PI Prof. Peter Shawhan; (2) Application of the HHT to the burst detection search for short, frequency modulated waveforms, such as the black hole binary merger signal. The postdoc supported half-time through this award will be co-supported by NASA for closely related research relevant to the Laser Interferometer Space Antenna (LISA).A vital area of LIGO research is the development of data analysis algorithms to characterize detector noise and search for transient signals. The data analysis effort is urgent as LIGO now undertakes the one year S5 science run at full design sensitivity. The HHT is a novel method of time-frequency analysis recently developed at NASA / Goddard Space Flight Center that is specifically targeted to the analysis of transient, non-linear signals. The HHT is adaptive and does not decompose data into a fixed basis set, and therefore it is not limited by the time-frequency uncertainty relation characteristic of Fourier or wavelet analysis. Thus the HHT can provide very high time and frequency resolution of gravitational wave data, leading to a significant impact in both instrumental characterization and signal detection.