Unimodular Waveform Design With Precise Spectrum Control and Good Correlation Properties

In this paper, to realize the dynamic spectrum allocation in radar communications coexistence (RCC) system, we focus on the high-quality unimodular waveform design with precise spectrum control and good correlation properties. Our waveform design aims to simultaneously achieve non-conflicting spectrum sharing with ideal power spectral density (PSD) shape and satisfactory auto-correlation level. To achieve this, the difference between actual spectrum shape and ideal template is derived in a weighted least squares (WLS) manner, which is collaboratively optimized with the weighted integrated sidelobe level (WISL) of waveform. A Pareto coefficient of user choice is introduced to make a tradeoff of two objectives. We reformulate the unimodular waveform design into a nonconvex quartic optimization problem in frequency domain. We develop an efficient algorithm by applying the majorization-minimization (MM) twice to derive a closed solution in each iteration. Simulation results verify the effectiveness of our design.