| 基于三角波形的非带限信号采样定理 |
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| 引用本文： | 胡勇,梁瑜,张志会.基于三角波形的非带限信号采样定理[J].湖北大学学报(自然科学版),2011,33(1):36-40. |
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| 作者姓名： | 胡勇 梁瑜 张志会 |
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| 作者单位： | 湖北大学数学与计算机科学学院,湖北,武汉,430062 |
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| 摘 要： | 主要关注非线性相位单位解析信号的一些新进展,推广了传统的Shannon采样定理,使得它对于非带限信号也成立.首先将带限信号空间推广,使得任一信号都与推广的空间有关,而这个推广的空间与事先构造的三角波有关,这样就得到了对于一般信号的采样定理.
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| 关 键 词： | 非线性Fourier原子 三角波形滤波器 广义Sinc函数 采样定理 |
Sampling theorem for Non-bandlimited signals based on triangle filter |
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| HU Yong,LIANG Yu,ZHANG Zhihui.Sampling theorem for Non-bandlimited signals based on triangle filter[J].Journal of Hubei University(Natural Science Edition),2011,33(1):36-40. |
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| Authors: | HU Yong LIANG Yu ZHANG Zhihui |
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| Affiliation: | (School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China) |
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| Abstract: | This study concerned on some new development of unit analytic signals with nonlinear phase.It included triangle shape filter,generalized Sinc function based on nonlinear Fourier atoms,generalized sampling theorem for Non-bandlimited Signals.Firstly,introduced the triangle shape filter and gave its impulse response,Secondly,we established a Shannon type sampling theorem based on geneeralizde Sinc function for this type of non-bandlimited signals. |
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| Keywords: | nonlinear fourier atoms triangle shape filter generalized Sinc function sampling theorem |
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