Real

Signification of alternating signs of imaginary and real part of an FFT

Signification of alternating signs of imaginary and real part of an FFT
  1. What does the real and imaginary parts of the FFT signify?
  2. Is the FFT of a real signal real?
  3. What is the complex part of a Fourier transform?

What does the real and imaginary parts of the FFT signify?

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.

Is the FFT of a real signal real?

Most real-world signals are real-valued. Therefore, you can use the real fast Fourier transform (FFT) for most applications. You also can use the complex FFT by setting the imaginary part of the signal to zero.

What is the complex part of a Fourier transform?

The complex versions have a complex time domain signal and a complex frequency domain signal. The real versions have a real time domain signal and two real frequency domain signals. Both positive and negative frequencies are used in the complex cases, while only positive frequencies are used for the real transforms.

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