Construction of M-Channels Wavelet Filters By Lefting Scheme
基于提升框架的M通道小波滤波器的构造

The key idea of the lifting scheme is to construct wavelet filters by several predict operators and update oper- ators.As we know that the polyphase matrix can be factored into finite matrixes,which can be regarded as the predict operators and update operators.According to the theory of M-channels wavelet transform,the construction of the M- channels wavelet filters based on the lifting scheme is given in this paper.It's different to the traditional method.Any filters based on the lefting scheme are automatically satisfied with the exact reconstruction condition.The constructed predict filters are satisfied with (?) dual vanishing moments and the constructed update filters are satisfied with N basis vanishing moments.Some examples are given.