Low-complexity robust radar-embedded Sidelobe Level modulation using linear constrained optimization design

In this paper, we propose a low-complexity robust radar-embedded Sidelobe Level (SLL) modulation for a communication system as a secondary task for the radar. The robust radar-embedded SLL modulation aims the generation of transmit beampatterns, that satisfactorily match a given transmit profile (with high fidelity adjustment at the mainlobe), where each beampattern embeds a different SLL towards the communication receiver direction and sustains its amplitude over a small angular region. We achieve these goals by modifying the robust SLL optimization problem enunciated in [1], in order to handle differently the mainlobe adjustment requirement. The proposed formulation is based on eigenvector, point and first derivative constraints. We derive its closed form solution and we simplify it through mathematical manipulation and eigenspectrum analysis. These procedures make the proposed solution suitable for online real-time processing. We also derive simple equations for updating the beampatterns for following a moving communication receiver platform.