A saccade-related noise reduction in EEG signals using outer product expansion with reference signal

This paper develops the tensor product expansion with absolute error (TPE-AE) to remove an electrooculogram due to eye movement (EOG artifact) from an electroencephalogram (EEG). The saccade-related EEG signal produced by a saccadic eye movement is analyzed to clear the relationship between a brain function and human activity. EOG artifacts in EEGs yield significant problems for the EEG analysis. The denoising of EOG artifacts is important task to extract a saccade related EEG. The TPE-AE, which calculates two terms of outer product from EEGs, was applied to reduce EOG artifacts. However, this technique has some difficulties to remove only EOG artifacts from EEG. In this paper, we propose the novel TPE-AE with the reference signal. We show that the proposed method is effective to separate EOG artifacts and other noises.