摘要
通过相关定理及构造方法,研究了小波函数与多分辨分析的关系,重点研究了MRA小波及MRA小波集存在的条件.特别是在上述研究方法的基础上,通过构造演绎的方法构造出了MRA小波集,继而通过基本小波集理论给出了相应的MRA小波,由此得出了MRA小波存在的充要条件及形式.
In this paper, the concepts of wavelel, MRA and MRA wavelet are, introduced. According to some known theorems, the relation between a wavelel and a MB_A wavelet is studied. The conditions that MRA wavelet an{t MRA wavelet set exisl are studied. Based on above methods, a necessary and sufficient condition for MRA wavelet is obtained.
出处
《汕头大学学报（自然科学版）》
2011年第3期22-28,共7页
Journal of Shantou University：Natural Science Edition
基金
国家自然科学基金资助项目(10571113)
