| 一类高振荡Hilbert变换的计算 |
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| 引用本文： | 丁胜,包崇兵. 一类高振荡Hilbert变换的计算[J]. 数学理论与应用, 2009, 29(1): 109-112 |
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| 作者姓名： | 丁胜 包崇兵 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙410083 |
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| 摘 要： | Hilbert变换在信号处理与医学图像处理中都有着广泛的应用，但是对于一般的含有高振荡因子且在积分区阍中包含奇异值的‰变换往往处理起来较为困难，本文提出了一种基于等距节点插值的高效计算方法。
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| 关 键 词： | Hilbert变换 高振荡函数 奇异值 插值 |
On the Evaluation of Hilbert Transform of Oscillatory Functions |
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| Ding Sheng Bao Chongbing. On the Evaluation of Hilbert Transform of Oscillatory Functions[J]. Mathematical Theory and Applications, 2009, 29(1): 109-112 |
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| Authors: | Ding Sheng Bao Chongbing |
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| Affiliation: | School of Mathematical Science and Computating Technology;Central South University;Changsha;410083 |
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| Abstract: | Hilbert transform is widely used in signal processing and medical imaging processing,but it is generally difficult to deal with the inte gral which include the highly oscillatory function and a singular value in the Hilbert transform,So this paper presents a method which interpolate in the equisp aced nodes.And then we give a numerical example to verify the efficiency of this method. |
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| Keywords: | Hilbert transform High oscillatory function Singular value Interpolation |
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