Nothing happened to them, of course, as I will show, but you mustn't forget that they are always there.
Everyone in this room will be familiar with the acronym "FFT." The Fast Fourier Transform is both elegant and ubiquitous. It allows us to move with ease between time-based and frequency-based views of audio events. You will all be familiar with the following example. Here is the waveform of a short section of a piece of music:
And here is the spectrum of that music:
This usefulness of the FFT algorithm—…