Unimodular Sequence Set Design With Desired Multidimensional Properties for MIMO Radar

Designing a transmit sequence set with desired multidimensional properties can enhance target sensing performance but increases the complexity of problem. In this article, we focus on a designing transmit sequence set in multiple-input–multiple-output radar to obtain desired properties in multiple dimensions. Specifically, a multiconstrained optimization model is formulated, which takes into account the performance in the range-Doppler, spatial, and frequency dimensions. In order to solve the high-order, fractional, and nonconvex resulting problem, an algorithm based on successive convex approximation (SCA) is proposed, in which each iteration contains semidefinite programming and eigenvalue decomposition. To expedite the iterative convergence, an SCA-acceleration strategy is introduced, which utilizes the square accelerated iteration method in multiconstrained conditions. Finally, numerical experiments validate the superiority of the proposed algorithm over State-of-the-Art methods. Simultaneously, multidimensional joint shaping experiments are conducted to investigate the tradeoff between the sidelobe performance of the ambiguity function and the beampattern.