求sin(αt+θ)的希尔伯特变换

问题描述:

求sin(αt+θ)的希尔伯特变换
sin(αt+θ)的希尔伯特变换具体求法

f(t)的希尔伯特变换等于f(t)的傅里叶变换乘以-j·sgn(ω),即H(ω)=F(ω)·[-j·sgn(ω)].故H[sin(αt+θ)]=F[sin(αt+θ)]·[-j·sgn(ω)]=jπ[δ(ω+α)-δ(ω-α)][-j·sgn(ω)]=π[δ(ω+α)-δ(ω-α)]·sgn(ω)...