| 分数阶Fourier变换及其应用 |
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| 引用本文： | 孙晓兵,保铮.分数阶Fourier变换及其应用[J].电子学报,1996,24(12):60-65. |
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| 作者姓名： | 孙晓兵 保铮 |
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| 作者单位： | 西安电子科技大学电子工程研究所 |
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| 摘 要： | 本文介绍了一种崭新的信号分析工具－分数阶Ｆｏｕｒｉｅｒ变换（ＦＲＦＴ）。本文在简单介绍了ＦＲＦＴ的几种不同的引入途径和其基本性质之后，在时－频平面对ＦＲＦＴ进行了研究，用经典的Ｆｏｕｒｉｅｒ变换的观点对ＦＲＦＴ进行了解释，并推导了ＦＲＦＴ与Ｒａｄｏｎ－Ｗｉｇｎｅｒ变换的关系。最后，根据ＦＦＲＴ的特点，提出了它在时频信号分析中的两种新的应用途径。
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| 关 键 词： | 分数阶 傅里叶变换 时－频信号分析 |
Fractional Fourier Transform and Its Applications |
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| Sun Xiaobing,Bao Zheng.Fractional Fourier Transform and Its Applications[J].Acta Electronica Sinica,1996,24(12):60-65. |
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| Authors: | Sun Xiaobing Bao Zheng |
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| Abstract: | A new tool for signal analysis-fractional Fourier transform(FRFT),is introduced in this paper. After the brief introduction of several ways of inducing and some basic properties of FRFT, it is studied in the time-frequency plane and interpreted in view of the classic Fourier transform. The relationship between FRFT and Radon-Wigner transform is also derived. Finally, based on the properties of FRFT,two new possible applications in time-frequency signal analysis are proposed. |
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| Keywords: | Fourier transform Fractional Fourier Transform Time-frequency signal analysis |
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