Envelope-constrained H∞ FIR filter design

In this paper, we are concerned with the design of a finite-impulse response (FIR) filter, such that the H_∞ norm of the filtering error-transfer function is minimized subject to the constraint that the filter output with a given input to the signal system is contained or bounded in a prescribed envelope. The filter design problem is formulated as a standard optimization problem with linear matrix inequalities (LMIs) constraint. Furthermore, by relaxing the H_∞ norm constraint, we propose a robust envelope constrained FIR design algorithm based on the LMI approach