摘要
斜坡信号作为一种特殊的奇异信号,由于不满足绝对可积的条件,在计算傅里叶变换时如果采用传统方法往往会遇到困难.若采用傅里叶变换时域卷积定理,将导致一个悖论产生.从该悖论入手,对斜坡信号傅里叶变换的求解方法进行了探讨,给出了三种新的计算方法,最后分析了悖论引起的原因.
The ramp signal, as a special singular signal, calculating its Fourier transform by the traditional methods has encountered a difficult problem, because the condition of absolutely integrable is not satisfied, while calculating by Fourier transform time domain convolution theorem, a paradox will be resulted. In this paper, the method for solving the Fourier transform of ramp signal is discussed from the start of the paradox, then three new calculation methods are presented, and finally the reason of the paradox caused is analyzed.
出处
《四川文理学院学报》
2016年第5期36-38,共3页
Sichuan University of Arts and Science Journal
基金
四川文理学院教改重点项目(2013JZ12)
四川文理学院教改一般项目(2013JY32)
关键词
斜坡信号
傅里叶变换
悖论
广义函数
ramp signal
Fourier transform
paradox
generalized function
