Fourier analysis

DFT spectrum

The DFT of a 128-sample sum of sinusoids has spikes of height 2|X[k]|/N = A at exactly the component frequencies k, noise spreads evenly across bins, and bins above N/2 mirror those below.

Taught in Sines & Spectra.

Set three frequencies and amplitudes plus a noise level; the bottom band shows 2|X[k]|/N with the three tallest bins read out. Hover a bar to read its bin, and toggle the mirrored upper half to see bins 65–127 repeat bins 63–1.

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