Interpreting the amplitude of signals in fourier transform

1. What does amplitude of Fourier transform mean?
2. Does Fourier transform give amplitude?
3. What does amplitude mean in frequency domain?

What does amplitude of Fourier transform mean?

The amplitude of the Fourier Transform is a metric of spectral density. If we assume that the unit's of the original time signal x(t) are Volts than the units of it's Fourier Transform X(ω) will be Volts/Hertz or V/Hz.

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.

What does amplitude mean in frequency domain?

In the frequency domain, amplitude modulation corresponds to translating the baseband spectrum to a band surrounding the carrier frequency. Because the baseband spectrum is symmetrical with respect to the y-axis, this frequency translation results in a factor-of-2 increase in bandwidth.