| 斜坡类信号频谱分析时应注意的一个问题 |
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| 引用本文： | 王道宪,段晓辉.斜坡类信号频谱分析时应注意的一个问题[J].太赫兹科学与电子信息学报,2014,12(1):108-111. |
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| 作者姓名： | 王道宪 段晓辉 |
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| 作者单位： | School of Electronics Engineering and Computer Science，Peking University，Beijing 100871，China;School of Electronics Engineering and Computer Science，Peking University，Beijing 100871，China |
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| 基金项目： | 国家高技术研究发展计划资助项目(2011AA01A106) |
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| 摘 要： | 斜坡类信号属功率无限信号，针对常见于各种复变函数与积分变换类教科书中此类信号的傅里叶变换结果提出了质疑，认为以傅里叶变换所体现的此类信号的频谱特性不具有实际意义或应用背景。通过对傅里叶变换基本定义、运算性质、物理意义以及斜坡信号频谱特性的分析，表明在信号频谱分析过程中，傅里叶变换这一频谱分析工具不一定适用于功率无限信号。
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| 关 键 词： | 信号 频谱分析 傅里叶变换 |
| 收稿时间： | 2013/2/27 0:00:00 |
| 修稿时间： | 2013/4/15 0:00:00 |
A problem about the spectrum analysis of ramp signal |
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| WANG Dao-xian and DUAN Xiao-hui.A problem about the spectrum analysis of ramp signal[J].Journal of Terahertz Science and Electronic Information Technology,2014,12(1):108-111. |
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| Authors: | WANG Dao-xian and DUAN Xiao-hui |
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| Affiliation: | (School of Electronics Engineering and Computer Science, Peking University,Beijing 100871, China) |
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| Abstract: | Fourier transform of ramp signal, a kind of power-infinite signal, commonly appears in many complex function and integral transformation related textbooks. However, some have questioned the existence of Fourier transforms for power-infinite signals, contending that the spectral characteristics of their transformations lack theoretical significance and practical application. By analyzing the basic definition, computational characteristics, and physical significance of the Fourier transform, along with the frequency characteristics of ramp signals, it is proposed that, in the process of signal spectrum analysis, Fourier transform may not be applicable to power-infinite signals. |
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| Keywords: | signals spectral analysis Fourier transform |
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