| 常见波形级数 |
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| 引用本文： | 张其善,严光文,韦玉川.常见波形级数[J].北京航空航天大学学报,2001,27(5):540-543. |
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| 作者姓名： | 张其善 严光文 韦玉川 |
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| 作者单位： | 北京航空航天大学 电子工程系 |
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| 基金项目： | 国家自然科学基金;69972002; |
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| 摘 要： | 除了正余弦函数,锯齿波、方波、三角波、梯形波也是电子学中的常见波形.借助数论中的一个公式,给出了常见波形与正余弦函数之间的一个重要关系,把基于正余弦函数的经典傅里叶级数推广为基于电子学常见波形的一般频率级数,简称常见波形级数.这一推广给出了信号与常见波形间的联系,使得用常见波形的叠加表示信号成为可能,在理论上和技术上都具有重要意义.
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| 关 键 词： | 傅里叶级数 傅里叶分析 信号处理 |
| 文章编号： | 1001-5965(2001)05-0540-04 |
| 收稿时间： | 2000-07-07 |
| 修稿时间： | 2000年7月7日 |
Common Waveform Series |
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| ZHANG Qi-shan,YAN Guang-wen,WEI Yu-chuan.Common Waveform Series[J].Journal of Beijing University of Aeronautics and Astronautics,2001,27(5):540-543. |
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| Authors: | ZHANG Qi-shan YAN Guang-wen WEI Yu-chuan |
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| Institution: | Beijing University of Aeronautics and Astronautics, Dept. of Electronic Engineering |
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| Abstract: | In addition to sine functions, sawtooth, square, triangular and trapezoidal wave all are common waveforms in electronics as well. With the help of a formula in number theory, the relations between common waveforms and sine cosine functions are presented, and the classic Fourier series is generalized into frequency series based on common waveform, shorten as common wavefrorm series. This generalization describes the relation between signal and common waveforms and makes it possible to represent a signal as a superposition of common waveforms. It will be important in theory and techniques. |
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| Keywords: | Fourier series Fourier analysis signal processing |
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