摘要
根据双尺度方程导出的尺度函数的Fourier变换无穷乘积公式,结合函数与函数的Hilbert变换之间的Fourier变换关系,提出了由2个共扼正交滤波器所构造的2个小波基是双小波基的一个条件,并通过满足该条件的例子来设计了满足该条件的具有最小长度的这种类型的2个滤波器的求解方法.
According to the infinite product formula of scaling function＇ s Fourier transform, combined with the Fourier transform relation between a function and its Hilbert transform, the paper derived an condition on how two wavelet bases constructed from two conjugate quadrature filters can be pairs of wavelet bases, and proposed a method on how to construct the pairs of wavelet bases. At the same time, a discrete numerical solution for the filters h0 and g0 of minimal length that satisfy the derivate condition was presented.
出处
《吉首大学学报（自然科学版）》
CAS
2005年第2期29-32,共4页
Journal of Jishou University(Natural Sciences Edition)
基金
湖南省自然科学基金资助项目(04JJ3052)
