What is the interpretation of Fourier Transform containing only imaginary part?

1. What does the imaginary part of a Fourier transform mean?
2. Can Fourier transform be imaginary?
3. What is the DFT of imaginary and odd signal?

What does the imaginary part of a Fourier transform mean?

If you consider the input as current, the transfer function or Fourier transform as impedance then the output is potential. If Fourier transform is impedance, then the real part of FT is resistive part of the impedance and imaginary part is the reactive part of the impedance.

Can Fourier transform be imaginary?

The second piece that should jump out is that the Fourier transform of the sine function is completely imaginary, while the cosine function only has real parts.

What is the DFT of imaginary and odd signal?

Similarly, if a signal is odd and real, then its DTFT is odd and purely imaginary. This follows from Hermitian symmetry for real signals, and the fact that the DTFT of any odd signal is imaginary.