Emulators for PS3... PSX, PS2, SNES, NES, others?

Okay I am new to everything with PS3, I had my PSP for a couple of months, I know how to backup my games and Play them from the memory, as well I know how to play games for SNES, Sega and PSX, my question is, I know you can download games, but what if, WHAT IF I have my own PSX and PS2 games and I want to back them up and play them on my PS3, is there a way to do this without the download? I mean can I convert my PS2 games just like the PSX and put them inside the HD of the PS3? Anyhelp will be appreciated. Thanks in advance, I have firmware 1.80