This is true conceptually, in practice, not so much. It's true you can express any periodic waveform as a discrete infinite sum of sine waves, but if you wanted

This is true conceptually, in practice, not so much. It's true you can express any periodic waveform as a discrete infinite sum of sine waves, but if you wanted to express any non periodic waveforms, you have to integrate real and imaginary extended "sinusoids" (exp(jwt)) over a continuum of frequencies. A little fucky if I do say so myself.