Reduced-order H infinity and H2 design of multirate filter banks using PDLF method

This paper is concerned with reduced-order H2 and H∞ multirate filter bank design. Parameter-dependent Lyapunov function (PDLF) based linear matrix inequality (LMI) conditions are presented for the design of reduced-order synthesis filters. By the introduction of two new slack variables in PDLF, the constraint on the Lyapunov matrix is converted to the constraint on the new slack variables. This renders a less conservative design method for reduced-order multirate filter bank. The effectiveness of the proposed method is illustrated by an example.