Computation of Compactly Supported Biorthogonal Riesz Basis of Wavelets

In this paper, we compute compactly supported biorthogonal Riesz basis of wavelets. We solve the Bezout equation resulting from biorthogonality of the scaling function with its dual in a simple and algebraic way. We provide some examples of the biorthogonal wavelets showing their detail construction. Two algorithms for their construction are also given.