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General Solutions of Matrix Extension Associated with Multiple Channel Biorthogonal Wavelet Filters
matrix extension refinement equation biorthogonal wavelet
2007/12/11
This paper is concerned with seeking the general solutions of matrix equation $\widetilde{M}(\xi)M^*(\xi)=I_s$ for the construction of multiple channel biorthogonal wavelets, provided that some specia...
Wavelet filters and infinite-dimensional unitary groups
Wavelet filters infinite-dimensional unitary groups
2010/11/1
In this paper, we study wavelet filters and their dependence on two numbers, the scale N and the genus g. We show that the wavelet filters, in the quadrature mirror case, have a harmonic analysis whi...