An Assessment of Tikhonov Regularizations to Evoked Brain Signals

Abstract

The current work address two types of Tikhonov Regularization to extracta template evoked potential (EP) signal from a small number of noisy records. Under the same goal, the Subspace Regularization Technique (SRT) was experienced in literature without comparison regarding as the standard form Tikhonov Regularization technique (STRT). Both methods are tested in experimental studies and simulations. The Signal-to-Noise Ratio (SNR) improvement is used as error criteria. The superiority of SRT have not been observed in results. In addition, the STRT is found to be less computational complex. The STRT method is optimum for smooth solutions whereas the SRT allows sharp variations in the solutions. Thus, we propose the use of the STRT instead of the SRM for template auditory EP estimation.