Radar waveform design under similarity, bandwidth priority, and spectral coexistence constraints

In this paper, the synthesis of optimized radar waveforms ensuring spectral compatibility with the overlayed electromagnetic radiators is addressed. For the first time the quality of the bandwidths available for transmission is accounted for at the design stage via a specific constraint measuring their purity. To this end, cognition provided by a Radio Environmental Map (REM) is exploited so as to induce dynamic spectral constraints on the radar waveform as well as on the quality of bandwidths free from cooperative transmissions. A waveform optimization aiming at improving some radar performances is proposed. It requires the relaxation of the original problem into a convex optimization problem and involves a polynomial computational complexity. At the analysis stage, the waveform performance is studied in terms of spectral shape and auto-ambiguity features.