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多小波子空间采样定理

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Sampling theorem for multiwavelet subspaces
Unlike scalar wavelets, multiscaling functions can be orthogonal, regular and symmetrical, and have compact support and high order of approximation simultaneously. For this reason, even if multiscaling functions are not cardinal,they still hold for perfect A/D and D/A. We generalize the Waiter's sampling theorem to multiwavelet subspaces based on reproducing kernel Hilbert space. The reconstruction function can be expressed by multiwavelet function using the Zak transform. The general case of irregular sampling is also discussed and the irregular sampling theorem for multiwavelet subspaces established. Examples are presented.

reproducing kernel, multiwavelet, multiwavelet subspaces, sampling theorem.

陈俊丽、卢恩博、黄炳

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School of Communication and Information Engineering, Shanghai University, Shanghai 200072, P. R. China

reproducing kernel, multiwavelet, multiwavelet subspaces, sampling theorem.

国家自然科学基金上海市自然科学基金

6067216005AZ42

2007

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子:0.196
ISSN:1007-6417
年,卷(期):2007.11(6)
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