PS1 emulation is way too simple to require additional hardware, it's all done in software on PS3.
Also, all the PS1 Classics that are available for sale on PSN are just CD-images of the actual PS1 games, they don't have a single changed line of code in them. The PS3 run these through its emulator too.
But again, the emulator looks terrible and lacks a ton of features that ePSXe on PC can do, and even the PS2 emulator can make the games look prettier than the PS3 can.