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We introduce a new analysis method to deal with stationary non-Gaussiannoises in gravitational wave detectors in terms of the independent componentanalysis. First, we consider the simplest case where the detector outputs arelinear 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 thatour method can identify the coupling coefficients and remove non-Gaussiannoises. Although we focus on gravitational wave data analysis, our methods areapplicable to the detection of any signals under non-Gaussian noises.

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