【摘要】 在介绍连续信号频域分析的傅里叶变换时域积分性质时,虽然有些给出了证明过程,但不够严谨,且直接应用该性质进行求解的范围比较小。通常该性质是与微分性质结合在一起来求解某一信号频谱密度函数的,为避免草率的套用结论而可能引起的计算错误,现利用严格的微积分对这一问题进行了理论补充并加以举例说明,引出了利用傅里叶积分性质求解某一信号频谱密度函数的引申公式,扩展了积分性质的应用范围。更多还原

【Abstract】 As almost all the text books about signal and linearity system available now don’t discuss the limitations of using Fourier integration property to calculate a certain signal’s spectrum density function.At researching how to prove this property based on precise calculus and how to use it in order to avoid causing mistakes are aim. An extending formula is introduced which can be used to calculate a certain signal’s spectrum density function and extend the range of application of the Fourier integration property.更多还原