PPSSPP can run your PSP games on your PC in full HD resolution, and play them on Android too. It can even upscale textures that would otherwise be too blurry as they were made for the small screen of the original PSP.
Even on modern Android phones and tablets, you can often run at double the original resolution.
Play in HD resolutions and more
Play on a tablet for big-screen mobile gaming
Customize on-screen touch controls or use an external controller or keyboard
Save and restore game state anywhere, anytime
Crank up the anisotropic filtering and texture scaling
Continue where you left off by transferring saves from your real PSP