Design Waveform with Low Range Sidelobes, Doppler Tolerance and Low Probability of Intercept Based on Alternating Sequential Projection Fusion

In this paper, we propose a novel method named Alternating Frequency-based Sequential Projection Fusion (AFSPF) to design waveform with low range sidelobes, Doppler tolerance and low probability of intercept under non-convex constraint. Firstly, the novel waveform model has been formulated by Sine-chaotic mapping parts and LFM ones. Then, the engineering mathematical problem corresponding to multiple non-cooperative targets or interference is formulated in the alternating way. Furthermore, using the multi-variable decomposition idea, the original problem is divided into triple-variable ones, which could be solved via AFSPF. Here, AFSPF assisted by sequential fusion and FFT operation, would enhance the global optimization convergence under unimodular constraint. Finally, simulations and numerical results show comparisons with several popular methods.