CAJ | 학술논문

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．
통과상관정리급구조방법，연구료소파함수여다분변분석적관계，중점연구MRA소파급MRA소파집존재적조건．특별시재상술연구방법적기출상，통과구조연역적방법구조출료MRA소파집，계이통과기본소파집이론급출료상응적MRA소파，유차득출료MRA소파존재적충요조건급형식．
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.