摘要
分析了一种可以用于光学小波滤波器的Mexican hat小波母函数 (墨西哥帽状小波 ) ,讨论了其时 -频局部化特性、容许性条件 (重建条件 )、正则性阶数、正交性等性质 ,纠正了许多文献中关于二维母小波非张量积形式由一维母小波函数直接旋转得到的错误 ,证明了Mexican hat小波不能用作传统的计算机离散小波变换母函数 。
The Mexican hat mother wavelet used in optic realization is analysed. Its characteristics on time frequency domain localization, accurate reconstruction condition, regularity order and orthonormality are discussed. The error concept for the Mexican hat wavelet that the non tensor product two dimensional form of mother wavelet is obtained from the turning of its one dimensional form is corrected. The reason is explained for that the Mexican hat mother wavelet can't be used in conventional discrete wavelet transform for image data compression,but when it is used in 2 D image wavelet transform realized by optic way, it features excellent energy localization.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第12期62-65,73,共5页
Journal of Chongqing University
基金
高等学校骨干教师资助项目 (GG -5 10 -10 611-10 3 1)
