Waveform Design of Spectrum Sharing Radar in a Multi-path Scenario

The focus of this study is on the waveform design of the radar system that shares spectrum with the communication system in multi-path environments. The main challenge comes from combining useful multi-path target echoes received at the radar system while suppressing radar interference to communication users. Specifically, we formulate the waveform design problem as a maximization of the signal-to-noise ratio (SINR) subject to constraints of communication rate and the similarity degree with some standard waveform. The multipath propagation complicates the expressions of the radar SINR and communication rate, increasing the difficulty of solving the problem. We propose a sub-optimal algorithm based on the successive convex approximation and semi-definite programming methods to solve the problem. Simulation results are provided to demonstrate the effectiveness of the proposed design.