Amplitude

How to correctly get the amplitude and phase of the signal after applying the fast fourier transform to it

How to correctly get the amplitude and phase of the signal after applying the fast fourier transform to it
  1. How do you find the amplitude and phase of a signal?
  2. How do you plot amplitude and phase spectrum in a Fourier series?
  3. Does Fourier transform give amplitude?

How do you find the amplitude and phase of a signal?

As for the amplitudes you can get them directly by calculating the peak values of the sine waves. Afterwards you can calculate the phase angle phi= phi2-phi1 and the ratio of the magnitudes between B/A. All you need is to display the waveforms in same diagram.

How do you plot amplitude and phase spectrum in a Fourier series?

The exponential Fourier series representation of a periodic function x(t) has amplitude coefficients Cn which are complex and can be represented by magnitude and phase. Hence, we can plot the amplitude spectrum (|Cn| versus ω) and the phase spectrum (∠Cnversusω).

Does Fourier transform give amplitude?

Figure 7: Time domain signals (left) and their corresponding Fourier Transforms (left). A sine wave is the most fundamental component of a Fourier Transform. A Fourier Transform of a sine wave produces a single amplitude value with corresponding phase (not pictured) at a single frequency.

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