Solving FFT Signal Processing Problem for Complex Time Signal

[shravz]

Hi, I have a complex time signal x(t)=X1*exp(i*∅)+X2*exp(i*2*∅). On converting to frequency domain, i expect frequency components at ω and twice of ω (when ∅=ω*t). FFT gives the desired frequencies, but the amplitudes don't correspond to X1 and X2. I understand that this is due to the phase difference between the signals X1*exp(i*∅1) and X2*exp(i*2*∅). My question is how should i get back the amplitudes X1,X2,... when multiple frequency components exist in the signal.

P.S: when only x(t)=X1*exp(i*∅1);am able to get back X1 in the fft.

Thanks in advance.

 

[anorlunda]

It is not a question of phase. If you did everything correctly, you should get X1 and X2 back.

What is the sampling rate and number of samples compared to w?