Yang Shouzhi

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Multiwavelets possess some nice features that uniwavelets do not. A consequence of this is that multiwavelets provide interesting applications in signal processing as well as in other fields. As is well known, there are perfect construction formulas for the orthogonal uniwavelet. However, a good formula with a similar structure for multiwavelets does not(More)
Yang Shouzhi, Lou Zengjian Department of Mathematics, Shantou University, Shantou 515063, P.R.China Abstract A algorithm is presented for constructing orthogonal multiscaling functions and multiwavelets with multiplicity r+s(s ≥ 1, s ∈ Z) in terms of any given orthogonal multiscaling functions with multiplicity r. That is, let Φ(x) = [φ1(x), φ2(x), · · · ,(More)
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