FDA-MIMO beampattern optimization with complex circle manifold

This paper investigates the design of beampattern in an Frequency Diverse Array (FDA)-Multiple-Input MultipleOutput (MIMO) radar by jointly optimizing the transmit waveform and receive filter considering the environment of jammers at specific range-angle intervals. In this regard, the optimization problem is formulated by forcing the constant modulus constraint on the waveform. For solving the devised non-convex problem, an alternating optimization procedure is introduced, where the optimization problem is partitioned into two subproblems related to waveform and filter, respectively. Particularly, the former is solved by utilizing a projection, descent, and retraction (PDR) method leveraging the complex circle manifold, whereas the latter resorts to a quadratic programming model. Hence, a desired beampattern with deep nulls at specific range and angle intervals can be formed. Finally, numerical results illustrate the convergence performance of the developed algorithm and the effectiveness of the devised beampattern in suppressing jammers.