Extension of Multiresolution Analysis and the Construction of Orthogonal Multiwavelets
نویسنده
چکیده
A procedure of the extension of orthogonal multiresolution analysis is introduced by assuming that φ1(x) ia an orthogonal uniscaling function and constructing a new orthogonal multiscaling function Φ(x) = [φ1(x), φ2(x)]. Moreover, an explicit formula of the orthogonal multiwavelets associated with Φ(x) is obtained. Finally, a construction example is given. 2000 Mathematics Subject Classification: 42C40, 65T60.
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