3. Signal truncation and weighting windows
3.1 Temporal signal truncation
FFT spectral analysis is based on the principle of transforming N temporal signal values into N frequency values "en bloc".
In this section, we focus on the influence of the number of calculation points N on the spectral representation obtained.
Let x(t) be the analog signal to be analyzed, with Fourier transform X(f).
The sampling of x(t) is assumed to respect Shannon's theorem and provides :
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