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- Yang Shouzhi, Li Youfa
- Applied Mathematics and Computation
- 2007

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, Xu Yanmei, Fereidoun Ghahramani
- 2010

We present a method for the construction of nonseparable and compactly supported orthogonal wavelet bases of L(R), n ≥ 2. The orthogonal wavelets are associated with dilation matrix 3In, where In is the identity matrix of order n. An example is given to illustrate how to use our method to construct nonseparable orthogonal wavelet bases.

- Yang Shouzhi
- 2005

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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