I have the 1998 Cadillac DeVille. I love this car and have owned it for 3 years now, but I am having a problem with Traction/ABS light going off. I replaced the left front hub, which was needed, but that did not fix this other problem. From a stop, it seems to trigger the traction control which makes the loud embarassing noise from take off. I can let out of the pedal and it catches up, but it needs to be corrected. Sometimes it makes the traction control light & ABS light come on, but sometimes it does not. There is no slip once the car is in motion.

 

What you are describing is most like cause an erratic signal from a wheel speed sensor,but with one you need to have abs system atleast scanned for codes.then post them.Hope it helps