基于B样条的一种二进小波

A Kind of Dyadic Wavelet Based on B-spline

以 B样条为基础 ,构造了一种无限次可导的基小波 ,这种小波满足二进小波的稳定性条件 ,在频域上有紧支集 ,在时域上具有 m阶的下降速度 ,具有对称性 .这种小波为分频提供了一种应用工具 .

A kind of infinitely differentiable dyadic wavelet was built starting from B spline. This dyadic wavelet decreases at the rate of O(t -m ) in time domain. It has compact support in frequency domain and even has symmetry of ψ(t)=ψ(-t).