Radar equation of high-speed weak target

Without considering the echo signal power changes caused by target distance changes during the accumulated time the traditional radar equation is hardly applied. We take account of the effects of velocity, signal-to-noise ratio during the processing time; a modified radar equation is built which can be used for long-time integration of weak targets with high speed. After analyzing the relation between detection range and target velocity, integration time with processing time, we draw the constraint conditions and the corresponding conclusions.