摘要
探讨了信号的小波标架表示与最佳小波基选择问题．首先对信号的小波标架表示与小波基表示的关系进行了描述，这个关系对于分析信号的小波标架表示是非常有用的；其次推导了周期小波标架的分解与重构的Ｍａｌａｔ塔式算法并证明了标架界为１的紧小波标架的周期化仍为标架界为１的紧小波标架；
The subject on the representation of signal in tight wavelet frame and the selection of the best wavelet base was discussed. The relation between the wavelet frame representation and the wavelet base representations, which is very useful for interpreting the wavelet frame representation, is described. then the Mallat pyramid algorithm for periodic tight wavelet frame decomposition and reconstruction is derived and it is proven that periodic wavelet frame by periodizing the tight wavelet frame with bound 1 in is a tight wavelet frame with bound 1. Finally based on the wavelet frame algorithm and criterion of minimizing an additive cost function, the selecting best wavelet base algorithm is proposed.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1999年第4期392-397,共6页
Journal of Beijing University of Aeronautics and Astronautics
关键词
信号理论
信息处理
紧小波标架
最佳小波基
signal theory
information processing
fast transformations
tight wavelet frame
best wavelet base
periodic wavelet frame
