Multicomponent Optimal in the Hankel Norm Order Reduction for Design of the Digital Filter Banks

Abstract

We use a novel extension of the Adamyan–Arov–Krein theorem to develop an algorithm for designing banks of digital filters by optimal in the Hankel norm reduction of a reference filter bank's order. Summary of the relevant mathematical background is followed by outline of the numerical implementation. We conclude by presenting an example of designing a bank of bandpass filters for splitting a signal into frequency bands.