Parametrization of discrete finite biorthogonal wavelets with linear phase
نویسنده
چکیده
We present a parametrization of discrete finite biorthogonal wavelets with linear phase. Our approach is similar to Zou and Tewfik’s for orthogonal wavelets in the way that we utilize a lattice factorization of polyphase matrices of twochannel PR filter banks. However in the biorthogonal case we are faced with the additional possibilitiy of having length differences between the lowand high-pass filters. Our solution to this problem is the introduction of a set of initial polyphase matrices for the lattice product in order to receive the possibility of choosing a certain length difference between the two corresponding filters. This modification of the original lattice product enables us to generate a larger class of discrete wavelets in a systematic way.
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