Why does the Fourier Series work?

[@skilz8098]

You know what's even better than this? Writing the actual source code for an FFT and its inverse then watching them work. Excellent video by they way, very enjoyable.

[@SignalProcessingWithPaul]

There's no better way to understand it than having to write the code yourself :)

[@skilz8098]

@@SignalProcessingWithPaul True, but the actual source code is easier to read and understand compared to the actual mathematical integral notation. Now as for the comparison of them from a Graphical representation such as transposing them from one spectrum to another is fairly easy. Their overall concepts are quite simple... the algorithms aren't too bad, but the math involved to derive them is quite complex, pun intended.

[@skilz8098]

@@SignalProcessingWithPaul Well other than FFTs, one of the most other beautiful things in math is e^(i*x) = cos(x) + i*sin(x) as well as e^(i*pi) = -1 or e^(i*pi) + 1 = 0. These have to probably be two of my favorites... Then again Quaternions are up there, and so is Boolean Algebra.

[@ProfeARios]

Thank you so much for sharing. Best regards from Panama 🇵🇦

[@the_master_of_cramp]

Thanks for the really insightful explanations. Great teaching.
The playlist Signal Processing Fundamentals seems to be unordered, I was wondering whether you could sort it?