Robust MIMO FIR Filter Design With Time-Domain Envelope Constraints via$pi $-Sharing Theory

In this brief, a multiple-input-multiple-output finite-impulse response filter design problem is considered, which includes channel uncertainties and time-domain envelope constraints on the filter output signals. The pi-sharing theory is adapted to handle the uncertainties so that it can be applied to solve the problem. The linear matrix inequality approach is adopted to generate filter design methods based on the convex optimization procedures. A numerical example is presented to illustrate the proposed methods