| PERIODIC CARDINAL INTERPOLATORY WAVELETS |
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| 作者姓名： | Chen Hanlin Xiao Shaoliang |
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| 摘 要： | Ｐｅｒｉｏｄｉｃｐｒｏｂｌｅｍｓａｐｐｅａｒｉｎｖａｒｉｏｕｓａｐｐｌｉｃａｔｉｏｎｓｗｈｉｃｈｍｏｔｉｖａｔｅｄａｎｅｘｔｅｎｓｉｖｅｓｔｕｄｙｏｆｐｅｒｉｏｄｉｃｗａｖｅｌｅｔｓｉｎｒｅｃｅｎｔｙｅａｒｓ．Ｙ．Ｍｅｙｅｒ［８，１１］ｓｔｕｄｉｅ...
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| 关 键 词： | 周期小波 多重分解 基本插值法 循环行列式矩阵 |
| 收稿时间： | 1996/10/24 0:00:00 |
| 修稿时间： | 8/8/1997 12:00:00 AM |
PERIODIC CARDINAL INTERPOLATORY WAVELETS |
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| Chen Hanlin,Xiao Shaoliang.PERIODIC CARDINAL INTERPOLATORY WAVELETS[J].Chinese Annals of Mathematics,Series B,1998,19(2):133-142. |
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| Authors: | Chen Hanlin and Xiao Shaoliang |
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| Institution: | CHEN HANLIN * XIAO SHAOLIANG * |
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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. |
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| Keywords: | Periodic wavelet Multiresolution Cardinal Interpolation Dual basis Circulant matrix |
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