A time–frequency analysis of gravitational wave signals with non-harmonic analysis

Yanagisawa, Kenta; Jia, Dongbao; Uchikata, N.; Narikawa, T.; Ueno, K.; Takahashi, Hideya; Tagoshi, Hideyuki

doi:10.1093/ptep/ptz043

Cited by 6 publications

(3 citation statements)

References 32 publications

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“…Although the CWT had a better resolution from 13 to 17 s than the STFT, it also had a low time resolution at 2 Hz and below and a low-frequency resolution at 6 Hz and above. Although the HHT approach had a high-frequency resolution accuracy before 10 s and after 20 s, its frequency characteristics were distorted between these times (the period in which the two frequencies were asymptotic).HHT features showed improved performance when processing strong intermittent signals [28], [30]. However, since our objective in this paper was to examine a weak signal with continuous changes, we believed that other methods would yield better results, and thus did not include a comparison in this study.…”

Section: Nha and Conventional Methods Time-frequency Analysismentioning

confidence: 99%

“…Under the NHA approach, the frequency resolution did not depend on the data length. The effectiveness of NHA in optical coherence tomography (OCT) [23], [24], image processing [25], [26], [27], gravitational wave detection [28], [29], [30], and steady-state visual evoked potential applications (SSVEP) [31] has already been demonstrated. Owing to its ability to suppress the side lobe, NHA has a significant advantage in terms of high-frequency resolution and minute signal (such as heartbeat signal and heartbeat harmonics) detection capability.…”

Section: Introductionmentioning

confidence: 99%

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Heartbeat Harmonics Detectability During Driving Simulation Using NHA and CW Doppler Radar

et al. 2023

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Several studies have been published on noncontact heartbeat detection recently. Particularly, a few studies have found that radar for noncontact detection is effective for long-term monitoring. As the novel coronavirus continues to spread worldwide, the use of radar is expected to prevent the contamination of equipment by the virus and enable heartbeat detection from a safe distance. To monitor heartbeat fluctuation, heartbeat signals must be detected over a short period; however, conventional methods require approximately 5 s for detection in the stationary state of the human body. This study developed a method for detecting heartbeat in approximately 2.5 s based on nonharmonic analysis (NHA) to suppress sidelobes. The method has nearly no data length limitations in terms of frequency resolution. To validate the method, heartbeat detection is performed in a stationary state with reduced noise and a driving simulation environment with high noise. Frequency analysis of the received signals enabled the detection of heartbeat harmonics, suggesting the possibility of detecting the fundamental heartbeat frequency from its harmonics. To test this aspect, the detectability of heartbeat harmonics is determined under the stationary and driving simulation conditions from a comparison of the conventional short-time Fourier transform, continuous wavelet transforms, and the proposed NHA method.INDEX TERMS Continuous wave Doppler radar (CW Doppler radar), driving simulation, harmonic, heartbeat, non-harmonic analysis (NHA).

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Section: Nha and Conventional Methods Time-frequency Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heartbeat Harmonics Detectability During Driving Simulation Using NHA and CW Doppler Radar

et al. 2023

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“…In the late post bounce phase t pb 600 ms, the spectrogram shows a wide band emission ranging from 300 Hz to a few kHz. Since we use a simple short time Fourier analysis to obtain the spectrogram, we need to apply sophisticated analysis methods, such as S-method (Kawahara et al 2018), the Hilbert-Huang transform (Takeda et al 2021), or non-harmonic analysis (Yanagisawa et al 2019) to determine more detailed peak frequency.…”

Section: Gw and Neutrino Emissionmentioning

confidence: 99%

Core-collapse supernova simulations and the formation of neutron stars, hybrid stars, and black holes

Kuroda,

Fischer,

Takiwaki

et al. 2021

Preprint

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We investigate observable signatures of a first-order quantum chromodynamics (QCD) phase transition in the context of core collapse supernovae. To this end, we conduct axially symmetric numerical relativity simulations with multi-energy neutrino transport, using a hadron-quark hybrid equation of state (EOS). We consider four non-rotating progenitor models, whose masses range from 9.6 to 70 M ⊙ . We find that the two less massive progenitor stars (9.6 and 11.2 M ⊙ ) show a successful explosion, which is driven by the neutrino heating. They do not undergo the QCD phase transition and leave behind a neutron star (NS). As for the more massive progenitor stars (50 and 70 M ⊙ ), the proto-neutron star (PNS) core enters the phase transition region and experiences the second collapse. Because of a sudden stiffening of the EOS entering to the pure quark matter regime, a strong shock wave is formed and blows off the PNS envelope in the 50 M ⊙ model. Consequently the remnant becomes a quark core surrounded by hadronic matters, leading to the formation of the hybrid star. However for the 70 M ⊙ model, the shock wave cannot overcome the continuous mass accretion and it readily becomes a black hole. We find that the neutrino and gravitational wave (GW) signals from supernova explosions driven by the hadron-quark phase transition are detectable for the present generation of neutrino and GW detectors. Furthermore, the analysis of the GW detector response reveals unique kHz signatures, which will allow us to distinguish this class of supernova explosions from failed and neutrino-driven explosions.

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Validation of denoising system using non-harmonic analysis and denoising convolutional neural network for removal of Gaussian noise from gravitational waves observed by LIGO

Kato

Hasegawa

2022

Astronomy and Computing

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A time–frequency analysis of gravitational wave signals with non-harmonic analysis

Cited by 6 publications

References 32 publications

Heartbeat Harmonics Detectability During Driving Simulation Using NHA and CW Doppler Radar

Heartbeat Harmonics Detectability During Driving Simulation Using NHA and CW Doppler Radar

Core-collapse supernova simulations and the formation of neutron stars, hybrid stars, and black holes

Validation of denoising system using non-harmonic analysis and denoising convolutional neural network for removal of Gaussian noise from gravitational waves observed by LIGO

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