Hi there, I'm having trouble understanding the Fourier transform of a function where the result in the frequency domain has imaginary components. For example, if you take the Fourier transform of Sin[t] , the result is Code (Text): I Sqrt[\[Pi]/2] DiracDelta[-1 + \[Omega]] - I Sqrt[\[Pi]/2] DiracDelta[1 + \[Omega]] What does this mean? I can't really graph it, so I am having trouble understanding it. I can grasp a regular Fourier transform; it simply tells you what components are making up your signal wave. But when an imaginary I is thrown in there, what happens? How can the superposition of all those waves give you the real signal wave? Does anybody have an intuition they could share?