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In this paper we describe a deconvolution technique for obtaining an approximation of the neuronal signal from an observed hemodynamic response in fMRI data. Our approach, based on the Rauch-Tung-Striebel smoother for square-root cubature Kalman filter, enables us to accurately infer the hidden states, parameters, and the input of the dynamic system. Using a series of simulations we show in this paper that we are able to move beyond the limitation of a poorly sampled observation signal and estimate the true structure of underlying neuronal signal with significantly improved temporal resolution.
Date of Conference: 22-27 May 2011