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      Toward the detection of gravitational waves under non-Gaussian noises II. Independent Component Analysis

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          Abstract

          We introduce a new analysis method to deal with stationary non-Gaussian noises in gravitational wave detectors in terms of the independent component analysis. First, we consider the simplest case where the detector outputs are linear combinations of the inputs, consisting of signals and various noises, and show that this method may be helpful to increase the signal-to-noise ratio. Next, we take into account the time delay between the inputs and the outputs. Finally, we extend our method to nonlinearly correlated noises and show that our method can identify the coupling coefficients and remove non-Gaussian noises. Although we focus on gravitational wave data analysis, our methods are applicable to the detection of any signals under non-Gaussian noises.

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          Most cited references7

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

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            Detection, Measurement and Gravitational Radiation

            Lee Finn (1992)
            Here I examine how to determine the sensitivity of the LIGO, VIRGO, and LAGOS gravitational wave detectors to sources of gravitational radiation by considering the process by which data are analyzed in a noisy detector. By constructing the probability that the detector output is consistent with the presence of a signal, I show how to (1) quantify the uncertainty that the output contains a signal and is not simply noise, and (2) construct the probability distribution that the signal parameterization has a certain value. From the distribution and its mode I determine volumes \(V(P)\) in parameter space such that actual signal parameters are in \(V(P)\) with probability \(P\). If we are {\em designing} a detector, or determining the suitability of an existing detector for observing a new source, then we don't have detector output to analyze but are interested in the ``most likely'' response of the detector to a signal. I exploit the techniques just described to determine the ``most likely'' volumes \(V(P)\) for detector output corresponding to the source. Finally, as an example, I apply these techniques to anticipate the sensitivity of the LIGO and LAGOS detectors to the gravitational radiation from a perturbed Kerr black hole.
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              Blind source separation-semiparametric statistical approach

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                Author and article information

                Journal
                2016-05-06
                2016-08-09
                Article
                1605.01983
                43ec33bf-a9ff-4d25-b4d0-be910afeaf48

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

                History
                Custom metadata
                RESCEU-18/16
                19 pages, 5 figures; Minor changes, accepted for publication in the Proc. Jpn. Acad., Ser. B
                gr-qc

                General relativity & Quantum cosmology
                General relativity & Quantum cosmology

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