H∞ optimal envelope-constrained FIR filter design: an LMI approach

In this paper, we consider the envelope-constrained (EC) finite impulse response (FIR) filtering problems. The aim is to design an FIR filter such that the H_∞ norm of the filter is minimized subject to the constraint that for a given input to the filter, its noiseless output is contained or bounded in a prescribed envelope. The filter design problem is formulated as a standard optimization one with linear matrix inequality (LMI) constraints. Furthermore, by relaxing the H_∞ optimal norm constraint, we propose a robust ECFIR filter design algorithm based on the LMI approach