| 分数博里叶变换的数字仿真研究 |
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| 引用本文： | 蒋国峰,陈进,姜建东,张子瑜.分数博里叶变换的数字仿真研究[J].振动与冲击,1998(4). |
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| 作者姓名： | 蒋国峰 陈进 姜建东 张子瑜 |
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| 作者单位： | 上海交通大学振动、冲击、噪声国家重点实验室 上海200030 |
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| 基金项目： | 国家自然科学基金资助项目(编号:69772001) |
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| 摘 要： | 本文介绍了一种可用作故障特征提取的新方法——分数傅里叶变换。首先,对分数傅里叶变换的定义和基本性质作了简单的说明,并分析了该方法与时频分析中Wigner分布的关系;其次给出了分数傅里叶变换的快速算法;最后,通过数字仿真对分数傅里叶变换的实现和应用特点进行了初步探讨。
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| 关 键 词： | 傅里叶变换 分数傅里叶交换 Wigner分布 |
A DIGITAL SIMULATION STUDY ON FRACTIONAL FOURIER TRANSFORM |
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| Jiang Guofeng,Chen Jin,Jiang Jiandong,Zhang Zhiyu.A DIGITAL SIMULATION STUDY ON FRACTIONAL FOURIER TRANSFORM[J].Journal of Vibration and Shock,1998(4). |
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| Authors: | Jiang Guofeng Chen Jin Jiang Jiandong Zhang Zhiyu |
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| Abstract: | A concise introduction to a new tool for extracting fault features-Fractional Fourier Transforms is followed by a discussion of its definition and its property. The notion of Fractional Fourier Transform is developed in conjunction with the Wigner distribution of a signal. At the same time, an algorithm for efficient and accurate computation of the Fractional Fourier Transforms is given. Finally, based on digital simulation, its applications in signal analysis in the fractional Fourier domain are presented. |
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| Keywords: | fourier tranform fractional fourier transform wigner distribution |
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