Waveform Design with Spectral Coexistence

To ensure spectral compatibility between radar and communication systems, the radar waveform design of spectrum shaping is considered. The weighted squared-error between the designed Energy Spectrum Density (ESD) and the desired ESD is developed as figure of merit to minimize. Besides, the energy and the Peak-to-Average-Ratio (PAR) restrictions are forced on the probing waveform. To handle the resulting non-convex quartic optimization problem, an Iterative Sequential Quartic Optimization (ISQO) algorithm is proposed. To better approximate the desired ESD, an adaptive weight is adopted, which reflects the deviation to the template of every frequency grid. Finally, the numerical simulations are provided to assess the effectiveness of the proposed algorithm in comparison with the Template Fitting Approach (TFA).