Envelope-constrained H2FIR filter design

In this paper, we consider an envelope-constrained (EC) H-2 optimal finite impulse response (FIR) filtering problem. Our aim is to design a filter suc h that the H-2 norm of the filtering error transfer function is minimized s ubject to the constraint that the filter output with a given input to the s ignal system is contained or bounded by a prescribed envelope. The filter d esign problem is formulated as a standard optimization problem with linear matrix inequality (LMI) constraints. Furthermore, by relaxing the H-2 norm constraint, we propose a robust ECFIR filter design algorithm based on the LMI approach.