摘要翻译：
本文分析了LIGO合作的Hanford(H1)、Livingston(L1)和Virgo(V1)三台引力波探测器探测到的5个引力波事件的数据。结果表明，GW170814、GW170817、GW151226和GW170104是非常微弱的信号，在GW事件期间振幅没有明显上升，与非平稳探测器噪声难以区分。LIGO软件利用32秒的窗口，在频域中，在匹配滤波器中实现了H1/L1信号与模板参考信号的互相关函数(CCF)。结果表明，这种匹配滤波器在很低振幅、短脉冲的正弦波信号和加性高斯白噪声(AWGN)下，始终出现高信噪比/CCF峰值的失效。结果表明，匹配滤波器的这种不稳定行为是由于信号处理操作中的误差，例如缺少循环前缀来解释循环卷积。用短窗口在时域内实现的归一化CCF方法，对于正弦波和噪声脉冲没有伪CCF峰。结果表明，当H1/L1与模板相关时，GW151226和GW170104的归一化CCF与检测器噪声和模板相关没有区别。GW151226和GW170104的归一化CCF在H1/L1和模板相关时，与H1/L1和伪啁啾模板相关时没有区别，伪啁啾模板是调频(FM)波形，与理想模板有很大差异。LIGO匹配滤波器对伪线性调频模板具有较高的信噪比。
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英文标题：
《On the Signal Processing Operations in LIGO signals》
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作者：
Akhila Raman
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最新提交年份：
2018
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分类信息：

一级分类：Electrical Engineering and Systems Science        电气工程与系统科学
二级分类：Signal Processing        信号处理
分类描述：Theory, algorithms, performance analysis and applications of signal and data analysis, including physical modeling, processing, detection and parameter estimation, learning, mining, retrieval, and information extraction. The term "signal" includes speech, audio, sonar, radar, geophysical, physiological, (bio-) medical, image, video, and multimodal natural and man-made signals, including communication signals and data. Topics of interest include: statistical signal processing, spectral estimation and system identification; filter design, adaptive filtering / stochastic learning; (compressive) sampling, sensing, and transform-domain methods including fast algorithms; signal processing for machine learning and machine learning for signal processing applications; in-network and graph signal processing; convex and nonconvex optimization methods for signal processing applications; radar, sonar, and sensor array beamforming and direction finding; communications signal processing; low power, multi-core and system-on-chip signal processing; sensing, communication, analysis and optimization for cyber-physical systems such as power grids and the Internet of Things.
信号和数据分析的理论、算法、性能分析和应用，包括物理建模、处理、检测和参数估计、学习、挖掘、检索和信息提取。“信号”一词包括语音、音频、声纳、雷达、地球物理、生理、（生物）医学、图像、视频和多模态自然和人为信号，包括通信信号和数据。感兴趣的主题包括：统计信号处理、谱估计和系统辨识；滤波器设计；自适应滤波/随机学习；（压缩）采样、传感和变换域方法，包括快速算法；用于机器学习的信号处理和用于信号处理应用的机器学习；网络与图形信号处理；信号处理中的凸和非凸优化方法；雷达、声纳和传感器阵列波束形成和测向；通信信号处理；低功耗、多核、片上系统信号处理；信息物理系统的传感、通信、分析和优化，如电网和物联网。
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一级分类：Physics        物理学
二级分类：Instrumentation and Methods for Astrophysics        天体物理学仪器和方法
分类描述：Detector and telescope design, experiment proposals. Laboratory Astrophysics. Methods for data analysis, statistical methods. Software, database design
探测器和望远镜设计，实验建议。实验室天体物理学。资料分析方法，统计方法。软件，数据库设计
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英文摘要：
  This article analyzes the data for the five gravitational wave (GW) events detected in Hanford(H1), Livingston(L1) and Virgo(V1) detectors by the LIGO collaboration. It is shown that GW170814, GW170817, GW151226 and GW170104 are very weak signals whose amplitude does not rise significantly during the GW event, and they are indistinguishable from non-stationary detector noise. LIGO software implements cross-correlation funcion(CCF) of H1/L1 signals with the template reference signal, in frequency domain, in a matched filter, using 32 second windows. It is shown that this matched filter misfires with high SNR/CCF peaks, even for very low-amplitude, short bursts of sine wave signals and additive white gaussian noise(AWGN), all the time. It is shown that this erratic behaviour of the matched filter, is due to the error in signal processing operations, such as lack of cyclic prefix necessary to account for circular convolution. It is also shown that normalized CCF method implemented in time domain using short windows, does not have false CCF peaks for sine wave and noise bursts. It is shown that the normalized CCF for GW151226 and GW170104, when correlating H1/L1 and template, is indistinguishable from correlating detector noise and the template. It is also shown that the normalized CCF for GW151226 and GW170104, when correlating H1/L1 and template, is indistinguishable from correlating H1/L1 and bogus chirp templates which are frequency modulated(FM) waveforms which differ significantly from ideal templates. Similar results are shown with LIGO matched filter, which misfires with high Signal to Noise Ratio(SNR) for bogus chirp templates.
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PDF链接：
https://arxiv.org/pdf/1711.07421