Abstract
The biorthogonal wavelets families are usedwidely because they have compact support, complete symmetry and linear phase. According to Bezout’s theorem,the biorthogonal wavelets available now are only some particular examples of total solutions. The quantity of solutions is decided jointly by the scaling function vanishingmoment N and dual vanishing moment N. The relationship of N, N and solutions’ quantity is discussed in detail.According to the constraint conditions which the compactbiorthogonal wavelets satisfy, a number of biorthogonalwavelets are constructed in which the global convergenthomotopy method is used for different N and N. The filter coefficients and plots of scaling function, dual scalingfunction, wavelet function and dual wavelet function aregiven.
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