If it WASN'T happening before you went turbo, I would say to check your injector size, the FMU's operation, and the most basic component, the FCD or substitute.
Since this was happening before you went turbo, I would say it is likely an issue with your fuel pump, fuel filter, or injectors. What pump are you running? When was the last time you changed your fuel filters? Are you still running stock injectors? How old are they?
More info please..
1999 Eclipse GS Built motor Hahn 16G Turbo w/ FMIC Hahn Stage 5 Portfueler (270's & 500's) Zeitronix Zt-2 wideband w/ 3.5bar MAP 3" SS Turbo Back CM Stage 4 Clutch and Fidanza Flywheel Baer Big Brake Kit