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

Understand

We apply a regularized Rudin-Osher-Fatemi total variation (TV) method to denoise the transient gravitational wave signal GW150914.

• We have previously applied TV techniques to denoise numerically generated grav- itational waves embedded in additive Gaussian noise, obtaining satisfactory results irrespective of the signal morphology or astrophysical origin.
• We find that the non-Gaussian, non-stationary noise from the gravitational wave event GW150914 can also be successfully removed with TV-denoising methods.
• The quality of the de- noised waveform is comparable to that obtained with the Bayesian approach used in the discovery paper [1].