To better understand the Fourier Transform concept I would show them an example of a spectrum analyzer graphic equalizer that they are probably familiar with from seeing it used on stereo equipment. Notice how each frequency band is represented by it's own bar. An FT works in a similar way. It is not an exact replica of the original signal (you couldn't reproduce the music from the image of the spectrum analyzer, but it is an approximation. If you improve the resolution of this spectrum analyzer the audio signal would improve. The same is the case in QFT where they are trying to measure an analog signal in a digital way.
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