Yeah, you need a D/C converter. Radio shack sells what you need for like 60-100 bucks. it has to convert A/C to D/C, NOT vice-versa.
they're hard to find due to the popularity of dc-ac inverters (so people can use regular plugs in their cars

) but you want one to do the exact opisite, convert the wall outlet to direct current. I've got mine from a pawn shop, that's how they test head-unites and subs.
http://www.grainger.com/Grainger/items/1YAY4This is an example, but 400W will easily push a head unit w/ regular speakers. Now if you want to push a amp w/ subs too, you'll need a bigger one. The example above is for a 400W converter.
EDIT: after you have a power source; you'd wire it like a regular car stereo; just splice the Constant and Acc. Now; If you want to save radio stations, presets, ect; then you're going to want to put a toggle switch on the acc line between the inverter & the head unit; so that you can turn the radio off; but save the station. (and use mimimal power) but be fore-warned; DC converters use up a fair amount of electricity.
Have fun
This post has been edited by D-Man: Jun 20, 2008 - 2:03 PM