Robert, Thanks, excellent writeup!
Now I wonder, if I drop the condition that it shall be a polynomial and replace the term (1-u^2)^N with (0.5+0.5*cos(u*pi))^N, wouldn’t this work in a similar way, but with less discontinous derivatives at the endpoints 1 and -1? Stefan > On 12 Dec 2016, at 19:22 , robert bristow-johnson <r...@audioimagination.com> > wrote: > > > well, it's a different approach to the same problem, but i just added my spin > at this on Stack Exchange. > http://dsp.stackexchange.com/questions/36202/monotonic-symmetrical-soft-clipping-polynomial > (my spin is soft clip it.) > > r b-j > > > > ---------------------------- Original Message ---------------------------- > Subject: Re: [music-dsp] Can anyone figure out this simple, but apparently > wrong, mixing technique? > From: "Bjorn Roche" <bj...@shimmeo.com> > Date: Mon, December 12, 2016 8:45 am > To: gjberc...@charter.net > "A discussion list for music-related DSP" <music-dsp@music.columbia.edu> > -------------------------------------------------------------------------- > > > On Sat, Dec 10, 2016 at 6:35 PM, <gjberc...@charter.net> wrote: > > > >> >>Message: 1 > >> >>Date: Sat, 10 Dec 2016 14:31:37 -0500 > >> >>From: "robert bristow-johnson" <r...@audioimagination.com> > >> >>To: music-dsp@music.columbia.edu > >> >>Subject: [music-dsp] Can anyone figure out this simple, but apparently > >> >> wrong, mixing technique? > >> > > >> >>it's this Victor Toth article:?http://www.vttoth. > >> com/CMS/index.php/technical-notes/68 and it doesn't seem to make sense to > >> me. > >> >> > >> >>it doesn't matter if it's 8-bit offset binary or not, there should not > >> be a multiplication of two signals in the definition. > >> >>i cannot see what i am missing. ?can anyone enlighten me? > >> > >> Search for "automixer". The author is not mixing individual samples, he > >> is using observed signal magnitudes (that have time constants associated > >> with them) to determine desired signal magnitudes, and from those > >> desired magnitudes he is calculating channel gains. > >> > >> At least I hope that's what he's doing. > >> > > i think that the Toth article *is* mixing audio samples. > > > > I've seen people reference this article on StackOverflow. Regardless of > > intention, it seems like it is causing some confusion. Here's a reference > > that seems illuminating: > > > > https://stackoverflow.com/questions/32019246/how-to-mix-pcm-audio-sources-java > > > > -- > > Bjorn Roche > > @shimmeoapp > > _______________________________________________ > > > -- > > r b-j r...@audioimagination.com > > "Imagination is more important than knowledge." > > _______________________________________________ > dupswapdrop: music-dsp mailing list > music-dsp@music.columbia.edu > https://lists.columbia.edu/mailman/listinfo/music-dsp _______________________________________________ dupswapdrop: music-dsp mailing list music-dsp@music.columbia.edu https://lists.columbia.edu/mailman/listinfo/music-dsp
