When the optical dome of aerobat is initially subjected to aerodynamic flight conditions, the temperature of front surface rises rapidly. The thermal optical dome produces a sharp increase in background radiance on the focal plane detector, which can mask the target signal and decrease the ability of target tracking. Infrared conformal dome has demonstrated its capabilities as a prominent technique for supersonic aero thermal radiation effect. Aero thermal radiation effect of conformal infrared dome is described. The thermal noises of conformal dome are measured by infrared blackbody when dome temperature decreases from 460 K to 320 K. Quadratic surface as noise correction model decided by dualistic nolinear regression analysis is introduced, and the coefficient of determination of quadratic surface fitting is 0.8683. The mean signal noise ratio of the image is increased to 13.7 dB after noise correction by noise correction model. The signal noise ratio of infrared image increases 6.5 dB after noise correction. The result can meet the precision requirement of target tracking system and provide partial evidence for optics system optimization.