| 分数阶傅里叶变换数值计算中的量纲归一化 |
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| 引用本文： | 赵兴浩,邓兵,陶然.分数阶傅里叶变换数值计算中的量纲归一化[J].北京理工大学学报,2005,25(4):360-364. |
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| 作者姓名： | 赵兴浩 邓兵 陶然 |
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| 作者单位： | 北京理工大学,信息科学技术学院电子工程系,北京,100081 |
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| 基金项目： | 国家自然科学基金
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高等学校优秀青年教师教学科研奖励计划
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国家部委预研基金 |
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| 摘 要： | 针对分数阶傅里叶变换(FRFT)快速算法中所要求的量纲归一化与实际工程计算脱节的问题,对量纲归一化进行了研究,提出了离散尺度变换和数据补零/截取2种实用的量纲归一化方法,研究了2种方法对chirp信号参数估计的影响,导出了采用离散尺度化方法时,归一化前后的chirp信号参数的变换关系.通过仿真实例说明FRFT快速算法能够应用于实际工程计算.
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| 关 键 词： | 分数阶傅里叶变换 量纲归一化 chirp信号 参数估计 分数阶 傅里叶变换 数值计算 量纲归一化 Fractional Fourier Transform Computation Digital 应用 仿真实例 变换关系 信号参数估计 尺度化 影响 chirp 归一化方法 截取 补零 数据 尺度变换 离散 |
| 文章编号： | 1001-0645(2005)04-0360-05 |
| 收稿时间： | 2004/4/15 0:00:00 |
| 修稿时间： | 2004年4月15日 |
Dimensional Normalization in the Digital Computation of the Fractional Fourier Transform |
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| ZHAO Xing-hao,Deng Bing and TAO Ran.Dimensional Normalization in the Digital Computation of the Fractional Fourier Transform[J].Journal of Beijing Institute of Technology(Natural Science Edition),2005,25(4):360-364. |
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| Authors: | ZHAO Xing-hao Deng Bing and TAO Ran |
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| Institution: | Department of Electronic Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China;Department of Electronic Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China;Department of Electronic Engineering, School of Information Science and Technology, Beijing Institute of Technology, Beijing100081, China |
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| Abstract: | The fast algorithm of the digital computation of the fractional Fourier transform(FRFT) requires the dimensional normalization, but how to do it for practical discrete signal is not settled yet. For this reason, the paper presents two engineering-oriented methods of the dimensional normalization. One is called as the discrete scaling transform method, another is called as the data zero-padding/interception method. Furthermore, their effects on the parameter estimation of the chirp signal are studied and for discrete scaling method, a relationship before and after the normalization is developed. Finally, these methods are verified by simulation examples. These engineering-oriented methods of the dimensional normalization makes the FRFT more practical in digital signal processing. |
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| Keywords: | fractional Fourier transform dimensional normalization chirp signal parameter estimation |
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