Thinned Waveform Design of MIMO Radar in Interference Environment

To improve multiple input multiple output (MIMO) radar performance and reduce computation complexity, we propose a thinned waveform design algorithm. We form an optimization problem, which the objective function is combined with signal-to-interference-and-noise-ratio (SINR) and Cramer-Rao lower bound (CRLB). Waveform code, waveform selection and antenna selection can be as optimization variables. We define the waveform code-antenna selection vector, which can denote waveform code and antenna simultaneous selection. Due to the problem is multivariate non-convex optimization, we propose a sequential iterative optimization algorithm. The problem is decomposed into two subproblems about waveform code and code-antenna selection vector. To optimize the code-antenna selection vector, we transform the optimization problem into a conventional convex problem by logarithms and first-order Taylor expansions. For waveform code optimization, we introduced an auxiliary variable and solved it by Alternating Direction Method of Multipliers (ADMM). Convex (CVX) can solve the subproblems. The simulation result shows that the better performance and lower computation complexity by the proposed approach than other methods.