摘要
通过研究M-带对称尺紧支度滤波器的分解形式,得到了一种简单的构造方法.特别地,给出了4-带对称紧支尺度滤波器的构造方法.然后基于酉扩充原则构造了一类4-带紧支对称小波框架系统,利用这种系统可以得到彭立中等(2004)介绍的具有优美结构的小波.
By studying the factorization metric scaling filter, a simple method of of the M-band compactly supported symconstruction is gained. Particularly, the 4-band compactly supported symmetric scaling filter is constructed. Then, the 4- band compactly supported symmetric wavelet frame system are given with the UEP. Based on this system, the beautiful structure wavelet which introduced by Peng, et al. （2004） is obtained.
出处
《系统科学与数学》
CSCD
北大核心
2014年第6期718-723,共6页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(11101001)资助课题
