Abstract
A new scaling theory for seismograms of earthquakes is proposed to predict the high frequency spectral falloff. Applying the real space renormalization group technique to the extended Burridge-Knopoff model, it is shown that the model at the fixed point of the renormalization transformation exhibits a power law dependence ω^<-1.98> in high frequency regions, which is essentially consistent with the observed high frequency spectral falloff.