Radar waveform design with multiple spectral compatibility constraints

Radar signal design in spectrally dense environments is a very challenging and topical problem. This paper deals with the synthesis of waveforms optimizing radar performance while satisfying multiple spectral compatibility constraints. Unlike some counterparts available in the open literature, a specific control on the interference energy radiated on each shared bandwidth is enforced. To tackle the resulting NP-hard optimization problem, a polynomial computational complexity procedure based on SemiDefinite Relaxation (SDR) and randomization is developed. Hence, some numerical results are shown to highlight the effectiveness of the new technique to devise high performance radar waveforms complying with the spectral compatibility requirements.