Output

Hand written DFT vs MATLAB FFT has flipped conjugates?

Hand written DFT vs MATLAB FFT has flipped conjugates?
  1. Why is FFT output mirrored?
  2. Why is FFT two sided?

Why is FFT output mirrored?

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.

Why is FFT two sided?

The two-sided results from the analysis functions include the positive half of the spectrum followed by the negative half of the spectrum, as shown in Figure 1. is the root mean square (rms) amplitude of the sinusoidal component at frequency k.

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