The results of modeling the radiation characteristics of air behind the front of a strong shock wave, performed using the Direct Simulation Monte Carlo method, are presented. The model used takes into account various physical and chemical processes occurring in shock-heated air, including translational-rotational and translational-vibrational energy exchange, kinetics of chemical reactions, excitation of electronic levels of atoms and molecules, as well as emission and absorption processes for a discrete spectrum. As a result of the calculations, timeintegrated spectrograms of the volumetric radiation power of shock-heated air were obtained in absolute units in the range of shock wave velocities from 7.4 to 10.7 km/s at a gas pressure in front of the shock wave front of 0.25 Torr. The calculation data are compared with experimental data obtained on the double-diaphragm shock tube DDST-M of the Institute of Mechanics of Moscow State University.