1997 Buick Riviera Re-sets

I have noticed the radio cutting out and thought it was the reception. Randomly, the car will re-set the radio, clock and trip meter. The inside lights will blink. It's progressively getting worse, the radio cuts in and out and today the car completely died while I was driving it but I was able to re-start it quickly. I have checked the battery and cables for corrosion and nothing is loose. I also checked the fuse boxes and nothing is loose there. Help!