摘要
混合正交小波基是一种包含多个正交小波函数的正交基．对４ 尺度正交小波进行混合，得到了４ 尺度混合正交小波基．它不同于２ 尺度混合正交小波基，因为它可以来自同一正交尺度函数，因此不需要寻找若干相同空间结构的小波基．最后，讨论了尺度因子为ａ（ａ 为大于２ 的整数） 时混合正交小波基的构造．这种混合正交小波基具有更大的灵活性．
The combined orthonormal wavelet base (COWB) is composed of several orthonormal wavelet bases (OWB) that have the same space structure from the multiresolution analysis point of view. COWB with scaling factor α =4 is construted. It differs from the COWB with scaling factor α =2 because the OWB can come from the same orthonormal scaling function. Therefore, it is not nece ssary to search for the OWB having the same space structure. Finally, COWB with scale factor a (a≥2 , a∈Z ) is also proposed. The application of COWB is more flexible.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2000年第1期97-99,共3页
Journal of Xi'an Jiaotong University
基金
河南省自然科学基金!984051900
河南省教委自然科学基金!98110015
