摘要
通过理论结合实验 ,对小波变换及其重构所存在的若干问题进行了较为深入的分析。指出小波变换的实质是矢量的变换 ,以及小波重构的稳定性与频率选择性是辩证统一的概念。在推理的基础上 ,文章给出了 6个推论 ,并从重构出发 。
Several problems in wavelet transformation and reconstruction are studied in a deepgoing way. A theoretical analysis is given,and the periodic prolongation experiment and the symmetric prolongation experiment are also made. It is considered that the wavelet transformation is the vector transformation in essence,and the stability of reconstruction and the selectivity of frequency are dialectic. Six deductions are presented. Beginning with reconstruction,the intension and extension of the wavelet transformation are further enlarged.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
2002年第5期768-772,共5页
Journal of Hefei University of Technology：Natural Science
基金
安徽省教育厅自然科学基金资助项目 (2 0 0 1kj181)
关键词
滤波器
小波变换
小波重构
框架
稳定性
filter
wavelet transformation
wavelet reconstruction
frame
stability
