Designing sparse frequency waveform using iterative algorithm

Sparse frequency waveform with stopbands sparsely distributed over a larger spectrum band is desired in many radar and communication systems operated in a highly congested spectrum environment. In this paper, a new method for designing sparse frequency waveform with sidelobe constraint is proposed. The basic idea is to construct a penalty function based on both the Power Spectrum Density requirement and the sidelobe requirement and then minimize it through an iterative algorithm. The proposed new method is efficient in computation and can design sparse frequency waveform with large dimensions. Numerical studies with design examples illustrated the efficiency of the proposed method.