| Shannon 采样定理的由来和一些数学方面的发展 |
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| 作者姓名： | 林从容 贾平 谢求成 |
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| 作者单位： | 南空指挥自动化站(林从容)，南京航空航天大学(贾平)，南空通信电气设备总厂(谢求成) |
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| 摘 要： | 阐述Ｓｈａｎｎｏｎ采样定理在插值理论上的含义和对Ｓｈａｎｎｏｎ采样定理作进一步研究的必要性。对广义采样定理，特别是多分辨率空间中的采样定理作了介绍，并对二种非带限信号的采样定理作了总结和概况。
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| 关 键 词： | 采样 定理 级数 |
The Origin and Some Mathematical Developments of Shannon Sampling Therorem |
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| Authors: | Lin Chong rong Jia Ping Xie Qiu cheng |
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| Institution: | Lin Chong rong Jia Ping Xie Qiu cheng |
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| Abstract: | The meaning of Shannon sampling theorem in interpolation theory is expounded and the necessity of making further research for Shannon sampling theorem is elaborated. The generalized sampling theroems, particularly,the sampling theorems of multiresolution space are introduced. Furthermore, two kinds of sampling theorem for nonbandlimited signal are summarized. |
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| Keywords: | Sampling theorem Cardinal Series Multiresolution analysis |
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