二维小波变换方向的特性

Directivity of 2D wavelet transform

为了分析信号的方向特性,根据二维小波理论和小波变换方法,分别研究了二维Marr、Morlet、Cauchy小波变换在方向性选择方面的特征,并通过仿真试验分别探讨了它们在方向检测中的应用。数值计算结果发现:二维Marr不是方向性小波,二维Morlet和Cauchy小波是方向小波,而二维Cauchy小波比二维Morlet小波在方向性选择方面更具有优越性,因此采用二维Cauchy小波变换能够很好地分析信号的方向特征。

To analyze the directivity of signals, a mathematic method based on 2D wavelet transformation was used to study the characteristics of directivity selection of 2D Marr, Morlet and Cauchy wavelet transforms, and their applications in directivity detection were researched by simulation experiment. The numerical calculation results show that 2D Marr wave is not a directional wavelet while 2D Morlet and Cauchy waves are, and 2D Cauchy wavelet is superior to 2D Morlet wavelet in direction selection. Therefore, 2D Cauchy wavelet transform can be used in analyzing the directivity of signals. 5 figs, 6 refs.