Coordinating complementary waveforms across time and frequency

In this paper, we consider a MIMO radar consisting of multiple collocated transmit/receive elements, where each transmit/receive pair operates at a different subcarrier frequency. Each transmit element is assumed to be waveform agile, meaning that it can select its waveform across time from a waveform library on a pulse by pulse basis. We consider a waveform library consisting of simply two component waveforms. The component waveforms are Golay complementary and are obtained by phase coding a narrow pulse with a pair of Golay complementary sequences. We show that by properly sequencing Golay complementary waveforms across time and frequency we can annihilate the range sidelobes of the radar point-spread function inside a desired Doppler interval around the zero-Doppler axis. This enables us to extract weak targets, which are located near stronger reflectors.