Abstract: In order to resist the anti-radar missiles, this paper presents a method for designing a group-complementary phase-coded signal set in which each signal has a characteristic of low probability intercept and is orthogonal to other signal. Meanwhile, on the basis of the orthognality of this kind of group-complementary phase-coded signals, this paper also presents a new method for Doppler phase compensation. Finally, this paper performs computer simulations to confirm the presented methods.