| 非均匀采样信号的分数阶数字频谱研究 |
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| 引用本文： | 李炳照,陶然,王越. 非均匀采样信号的分数阶数字频谱研究[J]. 电子学报, 2006, 34(12): 2146-2149 |
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| 作者姓名： | 李炳照 陶然 王越 |
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| 作者单位： | 北京理工大学电子工程系,北京,100081;北京理工大学理学院数学系,北京,100081;北京理工大学电子工程系,北京,100081 |
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| 基金项目： | 国家自然科学基金，国家部委科研项目 |
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| 摘 要： | 利用分数阶Fourier变换对实际采样过程中出现的非均匀、非理想采样信号进行了分数阶频谱分析与研究,得到了这类非均匀采样信号在分数阶Fourier变换域的数字频谱表达形式.由此进一步得到了非均匀采样Chirp信号在分数阶域的频谱表达式,并分析了非均匀采样Chirp信号在分数阶Fourier变换域的分数阶频谱性质,最后仿真结果证明了结论的正确性.
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| 关 键 词： | 非均匀采样信号 采样定理 分数阶Fourier变换 Chirp信号 频谱分析 |
| 文章编号： | 0372-2112（2006）12-2146-04 |
| 收稿时间： | 2005-06-27 |
| 修稿时间： | 2005-06-272006-09-25 |
Fractional Spectrum of Non-Uniformly Sampled Signals |
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| LI Bing-zhao,TAO Ran,WANG Yue. Fractional Spectrum of Non-Uniformly Sampled Signals[J]. Acta Electronica Sinica, 2006, 34(12): 2146-2149 |
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| Authors: | LI Bing-zhao TAO Ran WANG Yue |
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| Affiliation: | 1. Department of Electronic Engineering,Beijing Institute of Technology,Beijing 100081,China;2. Department of Applied Mathematics,Beijing Institute of Technology,Beijing 100081,China |
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| Abstract: | Based on the fractional Fourier transform, the fractional spectrum of non-uniformly sampled signal, which occurs in practical applications,has been analyzed and studied. Then the spectrum representation of a non-uniformly sampled chirp signal in the fractional Fourier domain has been derived. And the properties of fractional spectrum for non-uniformly sampled chirp signal have been investigated. The simulations are also proposed in the last to verify the correctness of the results. |
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| Keywords: | non-uniform sampled signals sampling theory fractional Fourier transform chirp signal spectral analyze |
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