| 谈从CTFT到DTFT的线性频率尺度变换 |
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| 引用本文： | 唐建.谈从CTFT到DTFT的线性频率尺度变换[J].微电子学,2020,42(3). |
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| 作者姓名： | 唐建 |
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| 作者单位： | 中国科学技术大学 信息科学技术学院 |
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| 基金项目： | 基金项目：中国科学技术大学2019年度教学研究项目（项目编号：2019xjyxm84）,高校教学研究项目 |
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| 摘 要： | 从信号的连续时间傅里叶变换(CTFT)到其离散时间傅里叶变换(DTFT)的推导,是将模拟信号引入到数字信号处理中的一个重要环节,其中两个重要的性质是DTFT所具有的周期性以及数字角频率相对于模拟角频率的线性频率尺度变换。本文分析了线性频率尺度变换性质的来源,结合信号时间自变量的变换,给出了合理的推导,使得教学中前后知识点更加连贯,更容易理解相关问题。
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| 关 键 词： | 连续时间傅里叶变换 离散时间傅里叶变换 线性频率尺度变换 |
| 收稿时间： | 2019/7/5 0:00:00 |
| 修稿时间： | 2019/12/23 0:00:00 |
On Linear Frequency Scale Transformation from CTFT to DTFT |
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| TANG Jian.On Linear Frequency Scale Transformation from CTFT to DTFT[J].Microelectronics,2020,42(3). |
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| Authors: | TANG Jian |
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| Affiliation: | School of Information Science and Technology,University of Science and Technology of China |
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| Abstract: | The derivation from the continuous time Fourier transform (CTFT) of the signal to its discrete time Fourier transform (DTFT) is an important link in introducing the analog signal into the digital signal processing. Two important properties are the periodicity of DTFT and the linear frequency scale transformation of digital angular frequency relative to analog angular frequency. In this paper, the source of linear frequency scale transformation is analyzed, and the reasonable derivation is given in combination with the transformation of signal time independent variables, which makes the knowledge points before and after teaching more coherent and easier to understand the related problems. |
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| Keywords: | CTFT DTFT linear frequency scale transformation |
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