Hello, list. I hope that you're all great. I just did a pull-request to a library module containing a set of antialiased nonlinearities. See this: https://github.com/grame-cncm/faustlibraries/pull/70.
Those include first-order and second-order aliasing suppression based on Parker et al.: https://www.dafx.de/paper-archive/2016/dafxpapers/20-DAFx-16_paper_41-PN.pdf . Julian et al.: if you're reading this, thanks again for the great work. Initially, I tried implementing the algorithms from Bilbao et al.: https://aaltodoc.aalto.fi/bitstream/handle/123456789/30723/article5.pdf?sequence=8&isAllowed=y . This is an extension of Parker et al. work covering also third-order antialiasing. It would have been great to have those but I never managed to make them work, not even the second-order functions. From what I could tell, the second-order approach from Parker et al. is more robust, whereas the handling of ill-conditioned cases in Bilbao et al. may be trickier. Or most likely I did something wrong, which is why I'm handing over to anybody interested what I already started, hoping that you can achieve better results, at least with the second-order functions: I have spent more time than I had on this and I'm happy with the second-order functions in my PR. However, if we get the second-order functions from Bilbao et al. to work, we might be close to having the third-order ones too, which would be excellent. See the file attached. That's the skeleton for a second-order tanh() using an approximation of the dilog function, but it seems that the only way to actually have it working efficiently is to use a look-up table. Anyway, I tried that with simpler nonlinearities and it didn't work. If you want to try, once you think that the ADAA2 generalised function is correct, just add first and second antiderivatives for F1 and F2. Ciao. -- Dr Dario Sanfilippo http://dariosanfilippo.com
ADAA2_Bilbao.dsp
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