A New Design of All-pass IIR Filters based Two-channel Quadrature Mirror Filter Bank

A new design of an all-pass IIR filters based two-channel quadrature mirror filter bank (All-pass-IIR-2c-QM-FB) is proposed for the first time. The proposed design is based on two optimization problems. The first one minimizes the weighted linear phase error of the whole filter bank system and weighted stop-band design error of the low-pass analysis filter. The second one minimizes the linear phase error of the whole filter bank system for the given stop-band design error requirement of the low-pass analysis filter. An iterative technique is proposed to solve these two problems. For the first optimization problem, the proposed iterative technique has no requirement for the initial solution whereas solving the second optimization problem using the proposed technique needs a suitable initial solution. The obtained solution of the first optimization problem serves as the initial solution of the second optimization problem. Simulation experiment validates the effectiveness and obvious superiority of the proposed design of an All-pass-IIR-2c-QM-FB.