If you're talking emulations of the original PSX Doom/Final Doom, those came out before Dual Shock/Analog controllers were released, so simply put, no, as the games have no ways of recognizing the controller directly.
If you're talking emulations of the original PSX Doom/Final Doom, those came out before Dual Shock/Analog controllers were released, so simply put, no, as the games have no ways of recognizing the controller directly.