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      Application of the independent component analysis to the iKAGRA data

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          Abstract

          We apply independent component analysis (ICA) to the real data from a gravitational wave detector for the first time. ICA separates various sources of signals from multiple detection channels making use of non-Gaussian nature of the statistical distributions of the sources. Specifically we use the iKAGRA data taken in April 2016, and calculate the correlations between the gravitational wave strain channel and 35 physical environmental channels. Using a couple of seismic channels which are found to be strongly correlated with the strain, we perform ICA. Injecting a sinusoidal continuous signal in the strain channel, we find that ICA recovers correct parameters with enhanced signal-to-noise ratio, which demonstrates usefulness of this method.

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          Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture

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            Blind source separation-semiparametric statistical approach

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              Toward the detection of gravitational waves under non-Gaussian noises I. Locally optimal statistic

              After reviewing the standard hypothesis test and the matched filter technique to identify gravitational waves under Gaussian noises, we introduce two methods to deal with non-Gaussian stationary noises. We formulate the likelihood ratio function under weakly non-Gaussian noises through the Edgeworth expansion and strongly non-Gaussian noises in terms of a new method we call Gaussian mapping where the observed marginal distribution and the two-body correlation function are fully taken into account. We then apply these two approaches to Student’s t-distribution which has a larger tails than Gaussian. It is shown that while both methods work well in the case the non-Gaussianity is small, only the latter method works well for highly non-Gaussian case.
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                Author and article information

                Journal
                08 August 2019
                Article
                1908.03013
                4c4a7d4d-ffaf-446a-9c78-01e0cb18709c

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                JGW-P1910218, RESCEU-4/19
                22 pages, 12 figures
                astro-ph.IM gr-qc

                General relativity & Quantum cosmology,Instrumentation & Methods for astrophysics

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