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In this paper, we propose a deconvolution method based on discrete-time optimal control. By combining Kalman filtering with optimal control, we state the problem in terms of tracking problem. This leads to solve a set of recurrent equations, including in particular a matrix Riccati equation. We present a method that transforms the solution of these recurrent equations in that of a linear system of equations. Once the linear system has been set up, the deconvolution procedure becomes very fast,doi:10.1109/icassp.1998.681819 dblp:conf/icassp/SarriTSN98 fatcat:wd7nbzdl7nf6ljlduxkq2riyh4