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Abstract
We apply non-harmonic analysis (NHA) to analyze gravitational wave signals from compact binary coalescences. After investigating the general properties of NHA by using several test signals with amplitude and frequency modulation, we analyze gravitational wave signals from the inspiraling of compact binary coalescences. We find that the time–frequency property of the signal can be reproduced accurately. We analyze the signals from inspiraling binary black holes injected into simulated Gaussian noise. We find that we can identify the signal even if the signal-to-noise ratio in the sense of a matched filter is as low as 10. We investigate the accuracy of the instantaneous amplitude and frequency of the signal recovered with NHA. We analyze gravitational wave events detected by LIGO and Virgo, and find that gravitational wave signals with strong amplitude like GW150914 can be shown clearly on the time–frequency map by NHA. We also find that even in the case of a low-amplitude signal like GW170817, the signal can be clearly seen by choosing an appropriate window size that depends on the frequency band.
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Details
1 Faculty of Engineering, University of Toyama, Toyama 930-8555, Japan
2 Faculty of Engineering, University of Toyama, Toyama 930-8555, Japan; School of Computer Engineering, Huaihai Institute of Technology, Lianyungang, Jiangsu 222005, China
3 Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
4 Department of Physics, Kyoto University, Kyoto 606-8502, Japan
5 Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
6 Department of Information and Management Systems Engineering, Nagaoka University of Technology, Kamitomika 1603-1, Nagaoka, Niigata 940-2188, Japan
7 Institute for Cosmic Ray Research, The University of Tokyo, Kashiwanoha 5-1-5, Kashiwa, Chiba 277-8582, Japan