摘要
小波分析是国际上新兴的一个前沿研究课题,已成为众多学科共同关注的热点.小波函数的构造问题是小波理论分析与应用研究的基础.文章提出了一类连续性小波函数的构造方法,同时证明了其满足允许条件,并利用该方法构造出了几个小波函数,同时利用MATLAB程序绘出了相应的小波函数及其Fourier变换(频谱)图.
Wavelet analysis is a novel research field in the world, and become the concerned question of many subjects. Constructinos of wavelet fuction are the bases for studying wavelet and its application. Construction method of continuous wavelet function is presented in this paper, addmissible condition is proved, sevarel continuous wavelet function are countructed by the use of construction method of this paper, the praph of wavelet function and its Fourier transform are given with MATLAB 6.5 Language.
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2006年第4期341-344,共4页
Journal of Hebei University(Natural Science Edition)
基金
河北省科学技术与发展计划资助项目(03213501)
河北省自然科学基金资助项目(F2004000129)
关键词
连续小波
允许条件
小波构造
FOURIER变换
continuous wavelet
addmissible condition
wavelet construction
Fourier transform
