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Radiation of combined volume discharge with plasma electrodes of 300 ns duration is investigated experimentally in the airflow including shock wave front either inside or outside discharge volume. Registration of radiation of discharge with nanosecond resolution was carried out at Mach numbers 3-3.5 of shock waves and the initial pressure of 10-30 Torr and the voltage of 25-30 kV. A decrease in the decay time radiation of discharge with increasing pressure in the still air at pressure of 10-120 Torr is found. Two-stage nature of the decay of the plasma radiation during the interaction with the shock wave of more than 2000 ns duration is found. We analyzed the kinetic processes that lead to prolonged radiation of a narrow band near the shock wave front after the termination of the discharge current.