| 分数阶Fourier域上非均匀采样信号的频谱重构研究 |
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| 引用本文： | 李炳照,陶然,王越. 分数阶Fourier域上非均匀采样信号的频谱重构研究[J]. 电子学报, 2008, 36(6): 1202-1205 |
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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，国家自然科学基金，北京理工大学校科研和教改项目 |
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| 摘 要： | 本文研究了分数阶Fourier变换域上非均匀采样信号的重构问题.首先得到周期非均匀采样信号经非均匀分数阶Fourier变换后的频谱表达式,研究了该分数阶频谱和信号连续分数阶频谱之间的关系,并基于该关系式提出了一种分数阶Fourier域周期非均匀采样信号的频谱重构算法;其次,讨论了分数阶Fourier变换域上更加一般情况下非均匀采样信号重构问题;最后,给出了周期非均匀采样信号频谱重构的仿真结果.
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| 关 键 词： | 分数阶Fourier变换 非均匀采样 频谱重构 信号重构 |
| 收稿时间： | 2006-07-09 |
Spectral Reconstruction from Nonuniformly Sampled Signals in the Fractional Fourier Domain |
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| LI Bing-zhao,TAO Ran,WANG Yue. Spectral Reconstruction from Nonuniformly Sampled Signals in the Fractional Fourier Domain[J]. Acta Electronica Sinica, 2008, 36(6): 1202-1205 |
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| Authors: | LI Bing-zhao TAO Ran WANG Yue |
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| Affiliation: | LI Bing-zhao1,TAO Ran2,WANG Yue2 (1.Mathematics Department,School of Science,Beijing Institute of Technology,Beijing 100081,China,2.Electronic Engineering Department,China) |
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| Abstract: | This paper investigates the problem of signal reconstruction from nonuniformly sampled signals in the fractional Fourier domain.Firstly,the spectral representations of periodic nonuniformly sampled signal in the fractional Fourier domain and the relationship between the spectral and the nonuniform spectral have been deduced.A spectral reconstruction algorithm is proposed based on the derived relationship.Secondly,the signal reconstruction formula from general nonunfiorm samples in the fractional Fourier dom... |
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| Keywords: | fractional Fourier transform(FrFT) nonuniform sampling spectral reconstruction signal reconstruction |
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