Programming LV2 Music Production Plugins From Scratch - 12 Synthesis, Aliasing & PolyBLEP

Get rid of nasty aliasing artifacts from sound synthesis. Especially for saw and square waves. This video describes the cause for aliasing in audio and how to fix it.
Warning: This video may contain traces of mathematics.
Topics:
* The problem:
* Distorted sound for saw and square (and triangle) wave in mySimplePolySynth
* Artifacts in the spectrogram
* The cause:
* Aliasing
* Nyquist frequency
* The fix:
* Fouries series synthesis
* Oversampling
* BLIT, BLEP, PolyBLEP
* PolyBLEP (Polynomial BandLimited stEP)
* Replace steps by a simple quadratic function
* Replace kinks by the integral of a PolyBLEP
* The implementation
...
Resource: github.com/sjaehn/lv2tutorial

[@PastelComGini]

Hmmm. It's more complicated than I thought. I didn't know about the aliasing problem.

[@bmusic9817]

Yes, aliasing is a nasty aspect of digitization. It's a painful work to get rid of it. PolyBLEP is likely the most common algorithm for digital synthesizers. And oversampling is used a lot for effect plugins.

[@inanitas]

Great video! I am a developer but I did not go to university (we call it "Fachinformatiker" in Germany) so I don't understand much high level maths. This is not a problem in my day to day job as I work in a field of classical engineering and don't need math. But I am very interested in music and I am currently digging into synthesis and DSP in general. Do you by any chance have any ideas where I could brush up on the "basics", specifically for DSP?