Myopic deconvolution combining Kalman filter and tracking control

نویسندگان

  • Patrick Sarri
  • Gérard Thomas
  • Edgar Sekko
  • Philippe Neveux
چکیده

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, and permits on-line deconvolution. It is also possible to use the discrete impulsional response, and perform blind deconvolution. This technique include a L2 or H1 optimal filter. Numerical examples illustrate the robustness of the procedure.

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تاریخ انتشار 1998