[dwrtz]

Awesome article! Here are two things that stuck out for me...

1.) In the first part of the article talking about decomposing a periodic signal into sinusoids of different frequencies - it would be more correct to refer to it as the Fourier _Series_, which is different from the transform.

2.) The image showing three sinusoids summing together into a non-period signal made me cringe (the sum is also periodic - that's the whole point of the Fourier Series).

[acjohnson55]

1) ...which when applied to a sampled signal, is the discrete-time Fourier transform (DTFT)

2.) It will only be periodic if there exist some frequency for which the frequencies of the sinusoids are integer multiple.