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We apply a regularized Rudin-Osher-Fatemi total variation (TV) method todenoise the transient gravitational wave signal GW150914. We have previouslyapplied TV techniques to denoise numerically generated grav- itational wavesembedded in additive Gaussian noise, obtaining satisfactory resultsirrespective of the signal morphology or astrophysical origin. We find that thenon-Gaussian, non-stationary noise from the gravitational wave event GW150914can also be successfully removed with TV-denoising methods. The quality of thede- noised waveform is comparable to that obtained with the Bayesian approachused in the discovery paper [1]. TV-denoising techniques may thus offer anadditional viable approach for waveform reconstruction.

Denoising of gravitational-wave signal GW150914 via total-variation methods