Abstract
Recurrence plot and recurrence quantification analysis are used to analyze different features of gravitational wave signals. Firstly, the appropriate delay time and embedding dimension are respectively estimated by methods of the C_C method. One dimension time series of gravitational wave is extended to high dimension phase space by employing phase space reconstruction for studying the movement characteristic of neighboring points in time series. Then the recurrence plots of different gravitational wave signals are implemented intuitively and qualitatively analyzing different features of gravitational wave signals. Different nonlinear characteristic parameters are calculated by recurrence quantification analysis (RQA) methods, such as recurrence rate, recurrence entropy, determinism rate and stratification, based on which the features of different gravitational wave signals can be well analyzed quantitatively.
Highlights
Gravitational Wave is proposed by Einstein in GeneralRelativity and it is perturbation of cosmological space-time when objects accelerated movement
Gravitational Wave is the ripple in time and space, and the process of black hole collisions and neutron star collisions, the causes of supernova explosions, and how the Big Bang occurred can be observed through Gravitational Wave (GW) [1]
Though the pattern texture of the Recurrence Plot (RP) indicates the nature of the time series, it’s tedious to interpret by visual inspection when the texture is complex
Summary
Relativity (in 1916) and it is perturbation of cosmological space-time when objects accelerated movement. In 2017, Duong-Hung Pham and Sylvain Meignen put forward a generalization of the short-time Fourierbased synchro-squeezing transform using a new local estimate of instantaneous frequency Such a technique enables to achieve a highly concentrated timefrequency representation for a wide variety of amplitudeand frequency modulated multi-component signals and to reconstruct their modes with a high accuracy. They applied this method to gravitational-wave signals which was generated by the coalescence of two stellarmass black holes and found the efficiency of this new approach [3]. This paper adopts recurrence plot and recurrence quantification analysis method to analyze the gravitational wave and gets some preliminary conclusions
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