Did you even read the article, or just looked at the LaTeX formulas? I'll give you a hint: Cmd+F "window". See any results? Because the DFT doesn't have a wind

Did you even read the article, or just looked at the LaTeX formulas? I'll give you a hint: Cmd+F "window". See any results? Because the DFT doesn't have a window function. The STFT does have a window function. Second hint: look at the image in the article (https://substackcdn.com/image/fetch/w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed62bf6d-9b51-442f-8a39-a07648b7d080_990x875.jpeg https://substackcdn.com/image/fetch/w_1456,c_limit,f_webp,q_...). Do you think this shows the time domain and frequency domain representations (i.e. the DFT) of a signal? No, it does not. It shows the time domain representation, and the STFT of the signal, aka the spectrogram. Do you have any questions?