Design of Cosine-Modulated Pseudo-QMF Banks Using Semidefinite Programming Relaxation

The paper proposes a new approach for the design of M-channel pseudo-quadrature mirror filter (QMF) banks. First, the convex hull of 2Mth band linear phase filters admitting linear phase spectral factors is analytically described by semidefinite programming (SDP). Then, the prototype filter design is cast into an SDP problem, which is efficiently solved. Design examples are presented to illustrate the effectiveness of the proposed method and to evaluate the design performance in comparison with the existing designs.