线性调频信号的傅里叶变换

Posted 2020-12-24 archerc

线性调频信号的表达式为

[ s(t) = operatorname{rect}(frac{t}{T_p})exp(j2pi f_c t + jpi k t^2 + jphi_0) ]

其傅里叶变换为

[ egin{align} S(f) &= int{s(t)exp(-j2pi ft)dt} &= int_{-frac{T_p}{2}}^{frac{T_p}{2}}{ exp(j2pi f_c t + jpi k t^2 + jphi_0 - j2pi ft)dt } &= exp(-jfrac{pi}{k}(f_c - f)^2 + jphi_0) int_{frac{f_c - f}{k}-frac{T_p}{2}}^{frac{f_c - f}{k}+frac{T_p}{2}}{ exp(jpi k t^2)dt } end{align} ]