Construction of a class of Daubechies type wavelet bases

Extensive work has been done in the theory and the construction of compactly supported orthonormal wavelet bases of L2(R)L2(R). Some of the most distinguished work was done by Daubechies, who constructed a whole family of such wavelet bases. In this paper, we construct a class of orthonormal wavelet bases by using the principle of Daubechies, and investigate the length of support and the regularity of these wavelet bases.