摘要
主要讨论了连续小波变换 ,得到由不同于原来变换函数生成的重构公式的在范数收敛意义下成立的条件 ,该条件是由变换函数生成的重构公式的在范数收敛意义下成立的条件的自然推广 ,证明了 Cψ1,ψ2 虽然看起来可能是复数但实际上只能是实数 ,讨论了两种重构公式之间的关系 ,并得到了两种重构公式虽然不同但最终有着几乎相同的形式 .
Continuous wavelet transformention is mainly discussed, and the condition that makes the reconstruction formula produced by the function that is different from the original transform function true is obtained, which is the generalization of the condition that makes the reconstruction formula produced by the the original transform function true; C ψ 1,ψ 2 is a real number is proved.The relation of two reconstruction formulas is discussed ,and that two reconstruction formulas have almost the same form is finally obtained.
出处
《西北建筑工程学院学报（自然科学版）》
CAS
2001年第1期5-7,25,共4页
Journal of Northwestern Institute of Architectural Engineering
基金
国家自然科学基金!资助项目 ( 594770 0 4 )
关键词
连续小波变换
FOURIER变换
公式
变换
continuous wavelet transformation
Fourier transformation
reconstruction
formula
transformation
