阶跃信号在信号处理中的开拓功能  

The Continuation Effect of Step Signal in the Signal Processing

作　　者：付立志[1] 靳孝峰[1] 

机构地区：[1]焦作大学,河南焦作454003

出　　处：《安阳工学院学报》2009年第6期45-47,共3页Journal of Anyang Institute of Technology

基　　金：河南省科学技术成果鉴定项目(9412008J0758);河南省教育厅自然科学研究计划项目(项目编号2008C110003)

摘　　要：利用广义函数的方法,修正了指数信号和指数衰减的Fourier变换公式,探讨了阶跃信号在信号处理方法——Fourier变换中的开拓功能,得出了在Laplace变换中通过解析开拓才能得到的相同结论,从而为进一步改变人们在Fourier变换认识方面的偏见提供了理论依据。Based on the method of generalized function, this paper mainly revises the Fourier transform formulation of index signal and index reduction, explores the continuation effect of step signal in the signal processing method, i.e., the Fourier transform, concludes that the same conclusion in Laplace transform could be got only through analytic continuation, and thus provides the theoretical basis to further change the common prejudice in Fourier transform.

关 键 词：FOURIER变换 广义函数 指数衰减信号 阶跃信号 开拓功能 

分 类 号：O174.22[理学—数学]