A Note on the Construction of Nonseparable
نویسنده
چکیده
In this note, we announce a general method for the construction of nonseparable orthogonal wavelet bases of L2(Rn), where n ≥ 2. Hence, we prove the existence of such type of wavelet bases for any integer n ≥ 2. Moreover, we show that this construction method can be extended to the construction of n-D multiwavelet matrix filters.
منابع مشابه
Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix
We present a method for the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -1\1 & 1 & 0 \1 & 0 & 1\end{array}right )$-wavelets under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an example is provided.
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