Shouzhi Yang

Extension of Multiresolution Analysis and the Construction of Orthogonal Multiwavelets

Abstract:
A procedure of the extension of orthogonal multiresolution analysis is introduced by assuming that $\phi_1(x)$ ia an orthogonal uniscaling function and constructing a new orthogonal multiscaling function $\Phi(x)=\linebreak {} [\phi_1(x),\phi_{2}(x)]^T$\!. Moreover, an explicit formula of the orthogonal multiwavelets associated with $\Phi(x)$ is obtained. Finally, a construction example is given.

Keywords:
Extension of MRA, orthogonal scaling function, orthogonal multiscaling functions, orthogonal multiwavelets.

MSC 2000: 42C40, 65T60