MIMO Radar Beampattern Formation with Spectral Coexistence Via Sequential Convex Approximation

We study the spectral constrained design of Multiple-Input Multiple-Output (MIMO) radar beampattern in an effort to the coexistence with the communication systems. We develop an optimization model relying on the minimization of beampattern Integrate-Sidelobe-Level (ISL) along with spectral, mainlobe width, Peak-to-Average Ratio (PAR) and energy constraints. To cope with the resultant non-convex problem, we introduce a novel polynomial-time iterative procedure that requires solving a series of constrained convex problems that evolve with each iteration. In particular, the proposed algorithm ensures that the monotonic decrease of ISL and the convergent solution is a KarushKuhnTucker (KKT) point. Numerical results are provided to assess the proposed algorithm in terms of the beampattern and spectral compatibility.