That looks like a drive pin rivet. There are a couple of methods.
1. If you don't mind small parts falling inside of the item, using a small punch, hammer the center pin all the way through. You can then use a drill to make the center hole larger. If you use a large enough drill the head of the rivet will pop off.
If having small parts falling into the area on the other side of the wall is a problem, then it will be more difficult. You will need to remove material from around the area around the center pin so that you can either pry it out or grab a hold of it and pull it out. Then you will need to pry the rest of the rivet out of the hole.
The way this type of rivet works is a pin is driven in with a hammer. This expands the part of the rivet that is recessed. As long as the pin is in place, you will not be able to un expand it. Once the pin part is removed, (either by pushing it all the way through, or by pulling it back out), the expanded part of the rivet can then have a place to go back into. you can either pry it out, or drill it out.