EOG-related noise rejection in EEG signal with eye movement task by tensor product expansion with absolute error

Eye movement origin electrooculogram (EOG) artifacts yield significant problems for the saccade-related electroencephalogram (EEG) and its analysis. The denoising of EOG artifacts is important task to analyze the relationship between a saccade and a brain function. In this paper, a tensor product expansion with absolute error (TPE-AE) is applied to reduce the EOG artifacts from the EEG signal. The TPE-AE has some difficulty to separate the EOG from the saccade-related EEG data due to a background noise from a spontaneous EEG activity. We show that the TPE-AE, which calculates two outer products, is useful to reduce EOG components related to the eye movement.