Extension of Multiresolution Analysis and the Construction of Orthogonal Multiwavelets
Shouzhi Yang · Georgian Mathematical Journal · 2005
A procedure of the extension of orthogonal multiresolution analysis is introduced by assuming that 1 (𝑥) ia an orthogonal uniscaling function and constructing a new orthogonal multiscaling function (𝑥) 1 (𝑥), 2 (𝑥) 𝑇 . Moreover, an explicit formula of the orthogonal multiwavelets associated with (𝑥) is obtained. Finally, a construction example is given.