紧支集对称和反对称M带正交复小波的构造

The construction of compactly supported symmetric and anti-symmetric orthogonal complex wavelets with M scale

研究了M带正交小波的构造方法,在此基础上给出了M尺度复小波的相关理论.提出了M尺度正交对称和反对称复小波的构造算法,并以M尺度复系数Haar小波为例,给出了具体的计算实例.

The methods for constructing the M-band complex wavelet were investigated.Based on the method and constructional idea of real wavelets filter with M scale,the correlation theory of complex wavelets with M scale is given.Then a method to construct compactly supported symmetric and anti-symmetric orthogonal complex wavelets filter with M scale is proposed.Finally,an example of complex Haar wavelet is offered.