FINSIG 05

FINSIG 2005Kuopio, FinlandState-space equations In time-varying case we approximate that the activity distributionis constant during the measurement of a single projection.p t = H t θ t + v t Observations cannot be combined as in stationary case. In order to reconstruct the time-varying activity distribution θ1,...,T ,a model of the time-variation is required. The simplest modeled for the time-variation is the first orderMarkov modelθ t+1 = F t θ t + w twhere F t is the state transition matrix and w t the state noise.Mikko Kervinen, Department of Applied Physics, University of Kuopio Slide 10