Design of Two Channel Biorthogonal Filterbanks Using Euler Frobenius Polynomial

This paper presents a technique to design a new class of biorthogonal perfect reconstruction (PR) filterbanks. In this technique, we use Euler Frobenius polynomial (EFP) to design maximally flat Euler Frobenius halfband polynomial (EFHP). This is obtained by imposing vanishing moments (VMs) and PR constraints on EFP. The resulted EFHP is used in three and four step lifting structure to determine analysis low-pass and high-pass filters. The lifting halfband kernels are designed using EFHP. It has been ensured that the proposed filters satisfy the linear phase and PR property. Also, the proposed filters have frame bound ratio very close to unity. Several design examples are presented and the properties of proposed filters are compared with existing filters. It has been ensured that the proposed filters give more regularity as compared to existing filterbanks.