Symmetry of real and imaginary parts in FFT [duplicate]

1. What do the real and imaginary parts of FFT represent?
2. Why is my FFT symmetric?
3. What is symmetry property of DFT?
4. What is the imaginary part of a Fourier transform mean?

What do the real and imaginary parts of FFT represent?

The real portion of an FFT result is how much each frequency component resembles a cosine wave, the imaginary component, how much each component resembles a sine wave.

Why is my FFT symmetric?

Because both the positive and negative frequency sinusoids are 90 degrees out of phase and have the same magnitude, they will both respond to real signals in the same way.

What is symmetry property of DFT?

DFT conjugate symmetry says that there is redundancy in the spectral content of a real-valued signal. But what exactly is the minimal set of frequencies that we must compute to fully represent the signal? We can think of this by working through each. N − 1 and seeing which other components can be inferred once we have ...

What is 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.