H2 optimal inverse of periodic FIR digital filters

The objective of this correspondence is to design a fixed-order H 2 optimal inverse filter of a given periodic FIR digital filter in the presence of measurement noise. The problem is solved by using a linear matrix inequality (LMI) approach to an equivalent time-invariant H2 optimization problem constructed by applying the lifting technique to the original periodic problem. An example is given to demonstrate the effectiveness of the proposed design approach