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Digital mixing console - Wikipedia
https://en.wikipedia.org/wiki/Digital_mixing_console#:~:text=In%20professional%20audio%2C%20a%20digital%20mixing%20console%20%28DMC%29,using%20digital%20signal%20processing%20rather%20than%20analog%20circuitry.
The Spirit Guide to Digital Mixing
https://engineering.purdue.edu/ece103/References/guide_to_digital_mixing.pdf
with absolute precision, digital audio signals can be passed from one machine to another, or from one part of a digital mixer to another, with no change to the sound. An analogue signal, on the other hand, cannot be passed through any component without SECTION 1: The Basics Of Digital Mixing 3 THE BASICS OF DIGITAL MIXING
Mixing Digital and Analog Audio Signals
https://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1053&context=eesp
drum samples costing around $500+). Finally, the drum module plugs into a mixer which outputs the sounds to the loudspeakers. This project describes the development of a unique audio idea which combines digital and analog audio signals. The project goes into detail of how the product was made with explanations of each step from start to finish.
Viktor T. Toth - Mixing digital audio
http://www.vttoth.com/CMS/index.php/technical-notes/68
Consider what happens if we mix another signal, $C$, to $Z$: \[T=Z+C-ZC=A+B+C-AB-AC-BC+ABC.\] In a practical implementation, the signal values are not between 0 and 1, but between 0 and some maximum integer value, such as 255 for 8-bit signals. So the equation needs to be normalized. For 8-bit audio, the normalized version looks like this:
Algorithm(s) to mix audio signals without clipping ...
https://dsp.stackexchange.com/questions/3581/algorithms-to-mix-audio-signals-without-clipping
From reading around, a common method of mixing is: result = A + B - AB, where A and B are the two normalized samples being mixed, and AB is a term to ensure louder sounds are increasingly "soft-clipped". However, this introduces a distortion of the signal.
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