Transmitter and Receiver Design in Compressive Sensing based Direction of Arrival Estimation

Compressive sensing (CS) has led to significant performance improvements in many research areas including medical imaging, image processing, and direction of arrival (DOA) estimation. Most CS-based DOA estimation studies solely address passive sensor arrays, yet detection of non-broadcasting targets is often desired. In these cases, the DOA estimation system needs a transmit mode or an external electronic support system. In this study, we design a CS-based DOA estimation algorithm which operates both in receive and transmit modes. Our design transmits a pulse, then receives a return signal where the receiver samples the signal using a few channels. In transmit mode, we investigate alternative transmit beam patterns; in receive mode, we leverage prior target scene information to construct an adaptive measurement matrix. Our design reduces the number of transmit beams and receive channels while maintaining accurate estimation, and can be used for bistatic radar despite our monostatic demonstration.