基于边缘检测算子的两类B样条小波的性质和作用

Two Types of the B spline Wavelets Properties and Roles Based on Edge Detector

基于Ｍａｌａｔ多尺度分析理论，用边缘检测算子构造出两类任意阶Ｂ样条小波．给出了这两类小波的小波函数Ψ的时域及频域解析表达式，讨论了相应的性质及在异常信号检测中的作用．

Based on Mallats theory of multiscale analysis,two types of the arbitray order B spline wavelets were constructed,the mathematical formulas for these two types of wavelets both in special and spatial domians were derived,and the respective properties and roles in singularty detection were discussed in this paper.