In this paper, we adopt waveform design in which two transmitted frequency modulation continuous waves (FMCW) have different initial frequencies to tackle the common-band interference (CBI) problem. First, we design the two radar's sweeping waveforms with low correlation for removing false beat frequency. It is proved by the theoretical derivation that the false beat frequencies can be removed from radar's low pass filter (LPF) if the sweeping waveforms have different initial frequencies of the difference greater than two times of LPF's bandwidth. Next, by taking into account the factor of moving speed, we also derive the beat frequency with velocity. It is shown that the velocity can be almost ignored in the low-correlation criterion of waveform design. Finally, we employ computer simulation to demonstrate our proposed method can reduce false-alarm rates effectively.