Design of Two-Channel Filter Bank Composed of Linear Phase IIR Filters

This paper proposes a novel method to design two-channel filter banks composed of exactly linear phase IIR filters. Broadly speaking, the design problem is formulated as a semidefinite program (SDP) of minimal order such that the computational complexity is lower than that of existing optimization-based method. Furthermore, it is more flexible than the maximally flat approach as various filter specifications can be easily incorporated. The applicability and efficiency of the proposed method is demonstrated through several numerical examples.