A reduced-order H∞H∞ deconvolution filter design using bounded real lemma

In this paper, a reduced-order H∞H∞ deconvolution filter design based on the bounded real lemma for linear discrete-time systems is presented. The order of the proposed deconvolution filter is less than or equal to nn–pp, where n and p are orders of the system and the measurement, respectively. The filter parameters are expressed in closed-form in terms of a solution to a Riccati difference equation. Application examples of image restoration and channel equalization using the proposed filter are presented.