@mike: Oh, and were you suggesting putting a pull up resistor between the last pin's Signal Out and Vcc? Or which pins exactly? I wish I had a scope, but I won't be able to get my hands on one for a few weeks at best.
The thing is, I already have 0.1?F and 1.0?F SMD caps across Vcc/Gnd for each chip, but they are very tiny. I could barely pick them up with a tweezers. I soldered them with a 15W iron, do you think I might have burned them up? Anyway, I'm considering putting 0.1?F caps in parallel across the smd caps on each chip.