A new effect has been discovered, which is observed during the dynamic fracture of some construction materials; the essence of this effect is that the pulse calculated using a transmitted signal measured in a Hopkinson-Kol'skii armature bar is nearly independent of the velocity of a striker. It has also been found that there is a threshold velocity upon achieving which the difference between the loading pulse of the system and the sum of the pulses of the transmitted and reflected signals changes. The dynamic-strength parameters of the materials under testing have been estimated using a new method of digital signal processing to filter and analyze the experimental data as an interrelated triad consisting of loading, reflected, and transmitted pulses with account for the physical processes that occur in the given material.