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.

本文提出了一种设计新型双正交完美重建（PR）滤波器组的技术。在这项技术中，我们使用Euler Frobenius多项式（EFP）设计最大平坦的Euler Frobenius半带多项式（EFHP）。这是通过在EFP上施加消失力矩（VM）和PR约束来实现的。所得的EFHP用于三步和四步提升结构中，以确定分析低通和高通滤波器。提升半带内核是使用EFHP设计的。已经确保所提出的滤波器满足线性相位和PR特性。同样，提出的滤波器具有非常接近于单位的帧绑定率。给出了几个设计实例，并将所提出的滤波器的特性与现有滤波器进行了比较。