This one I know. It's a personal monitor mix system. Here's how it works (and how we use it, at least).
Direct outs from each channel on the mixer go to the Aviom rack units. (Even though our mixer is 32 channels, we only have 16 channels of Aviom in the rack, so we pick the most important of those for monitoring).
The audio from the direct outs are then converted by the Aviom rack unit into digital signals which are sent up to the stage by what looks just an ethernet wire. (It actually is the same wire, but in this case it's not being part of an ethernet network...but I digress...)
Once up on the stage, those 16 digital signals are distributed into little boxes that serve as 16 channel mixers/headphone amps. They're mounted on mic stands--one per player/singer.
Now everyone on the stage has their own personal monitor mix. (That's the obvious benefit; almost as cool is that the sound guy doesn't have to go crazy trying to please everyone with just one or two monitor mixes).
The drawback is that you have to use headphones or in-ear monitors--some folks I play with just can't handle the isolation from the room, so they don't use 'em. Which means the sound guy still has to mix monitors--but for fewer folks.
Real world scenario: I play bass in my church. The stage is a hollow platform and resonates way too much with an amp cranked up. So no amp at all. I go direct with a Sans Amp and monitor myself in my Aviom. Nice thing is I can turn myself up and really hear what I'm doing. We also have a channel just for kick drum, so I can crank that even more than the rest of drums and stay in the groove with it.
Just as nice is that I can turn down the channels I need less of--second keys, background singers, and focus on the core stuff.
Sorry for being so long winded, but this is what I know of the Aviom gear.