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| PERIODIC CARDINAL INTERPOLATORY WAVELETS |
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Citation： |
Chen Hanlin,Xiao Shaoliang.PERIODIC CARDINAL INTERPOLATORY WAVELETS[J].Chinese Annals of Mathematics B,1998,19(2):133~142 |
| Page view： 1108
Net amount： 616 |
Authors： |
Chen Hanlin; Xiao Shaoliang |
Foundation： |
Project supported by the National Natural Science
Foundation of China. |
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| Abstract： |
The authors construct periodic interpolating wavelets and their duals from a
periodic function $g(x)$ whose Fourier coefficients are positive. The
corresponding decomposition and reconstruction algorithm is also given. The
spline example shows that such kind of wavelets shares good localization
with any desired regularity and symmetry. The construction depends essentially
on the finite Fourier Transformation and the theory of circulant matrix. |
Keywords： |
Periodic wavelet, Multiresolution, Cardinal Interpolation,
Dual basis,Circulant matrix |
Classification： |
42C05, 41A63, 41A30, 41A15 |
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