Design of 2-channel linear phase filter bank: a lifting approach

The structural property is desirable both in design and implementation of a filter bank. It is well known that the lifting structure can obtain the structurally PR property. In this work, it is further shown that by carefully choosing the polynomials for lifting, the linear phase property can be imposed to the structure. The design structure is derived after the factorization of an arbitrary 2-channel filter bank of this type. A lifting-like structure is proposed to tackle the singularity during the lattice factorization of the 2-channel linear phase filter bank. Some examples are also presented.