Iterative design of bandlimited FIR filters with gain constraints for active control of wave propagation

In active noise and vibration control, physical phenomena of the medium involved and oversampling can necessitate optimizing the midfrequency (in-band) behavior of transfer elements by allowing arbitrary behavior at low and high frequencies. For FIR (finite impulse response) filters, a globally convergent algorithm is that provides the optimal solution under gain constraints at out-of-band frequencies is given. This is necessary to obtain dynamically realizable frequency responses and allow application in practical environments. The method is illustrated by analytical and practical examples