基于Bernstein多项式的双正交小波滤波器设计

Design of Double Orthogonal Wavelet Filter based on Bernstein Polynomial

自适应Bernstein多项式用于一类双通道双正交小波滤波器组的设计。该滤波器组属于半带对滤波器类,并用两个核函数定义。自适应Bernstein多项式是用来构建核函数。Bernstein多项式的参数设计是通过最小二乘法实现。第一步,分解低通滤波器的设计。第二步,设计重构低通滤波器。用两阶段方法,设计过程是有效的,包括求解线性方程组。该设计方法可以方便地设计不同的特性。

Bernstein polynomial is employed for the design of a class of two-channel biorthogonal filter banks. The filter banks belong to the class HPFB（halfband pair filter bank） and are defined by two kernels.The parametric Bernstein polynomial is used to construct the kernels.the design of the free parameters of the Bernstein polynomial is achieved through a least squares method.In the first stage,the analysis low-pass filter is designed and in the second stage,the synthesis low-pass filter is designed.With the two-stage approach,the design process is efficient and involves solving linear equations.The design technique allows filters with different characteristics to be designed easily.