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On the aliasing error in a class of bidimensional wavelet subspaces

On the aliasing error in a class of bidimensional wavelet subspaces,10.1007/s11766-011-2157-0,Applied Mathematics-a Journal of Chinese Universities Se

On the aliasing error in a class of bidimensional wavelet subspaces  
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This paper addresses the aliasing error in the setting of a class of bidimensional multiresolution analysis associated with a 2×2 dilation matrix of determinant ±2. The explicit expression of the Fourier transform of the aliasing error is established, from which we obtain an optimal L 2(ℝ2)-norm estimation of the aliasing error.
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