Dyadic-based structure for regular biorthogonal filter banks with linear phase

The purpose of this paper is twofold: one is to establish a frame-work for general biorthogonal filter banks (BOFBs) with structural regularity; the other is to identify the connection between the general structure used here and the one commonly used for linear-phase biorthogonal filter banks (a.k.a. generalized lapped biorthogonal transform or GLBT). The latter also leads naturally to the same reduced number of free parameters as GLBT. We first revisit a minimal structure of BOFBs using order-one dyadic-based building blocks, by which BOFBs with length constraint can be designed. Conditions for filter bank regularity on the dyadic-based structure are derived and specialized to the case of GLBT. Design examples are presented.