Should I mention that I'm able to self fund my degree in my SOP? Should I mention that I'm able to self fund my degree in my SOP? I don't find anywhere else in the application process where I can communicate such information. 

I'm a prospective international student applying in the US in the field of Electrical and Computer Engineering.
At least here funds to finance graduate students are scarce, so somebody who will be an asset without cutting into said funding, is clearly welcome. You should definitely state that in your application, by attaching proof of your funding. If said funding is e.g. a competitive scholarship from your origin country, it should be a definite plus in your application.