The interaction of noise with a subexcitable chemical system gives rise to
spatiotemporal behavior with novel statistical properties. Wave behavior in
a photosensitive Belousov-Zhabotinsky reaction with imposed noise is monit
ored and statistically analyzed. Waves are initiated at sites where the acc
umulation of subthreshold perturbations induces local excitations, and wave
s propagate through the medium by a facilitated percolation process. Statis
tical analysis of the coherent spatiotemporal structures reveals power-law
relations that indicate the system has no intrinsic length or time scale.