斜坡类信号频谱分析时应注意的一个问题  

A problem about the spectrum analysis of ramp signal

作　　者：王道宪[1] 段晓辉[1] 

机构地区：[1]北京大学信息科学与技术学院,北京100871

出　　处：《太赫兹科学与电子信息学报》2014年第1期108-111,共4页Journal of Terahertz Science and Electronic Information Technology

基　　金：国家高技术研究发展计划资助项目(2011AA01A106)

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。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.

关 键 词：信号 频谱分析 傅里叶变换 

分 类 号：TN911.6[电子电信—通信与信息系统]