Sparse frequency waveform design under Riemannian manifold constraint
Zixuan Sun, Kai Huo, Xiangfeng Qiu · 2025
The problem of spectrum conflicts is becoming increasingly prominent nowadays, and radar waveforms in practical scenarios urgently need to have good anti-interference performance. In response to the low computational efficiency and high complexity of traditional waveform design methods under complex natural environmental conditions, this paper introduces the Riemannian manifold into classical constant modulus constrained waveform design. Our method effectively suppresses arbitrary frequency bands and enables the obtainment of sparse frequency radar waveforms with minimal sidelobe levels. We map the constant modulus constrained space in radar systems to the search space, thereby transforming the constrained optimization problem into an unconstrained one. Simulation results validate the effectiveness of our method, significantly improving the computational efficiency of radar waveform calculations and the overall performance compared to classical methods.