Robust Phase-Coded Waveform Design with Low Range Sidelobes Using Particles Filter Assisted Projection Method

In this paper, we present a novel method, named Particles Filter Assisted Projection (PFAP), to design unimodular waveform with local low range sidelobes. As the designing problem with unimodular constraint is often deemed as non-convex, and hard to tackle, here we borrow the multi-particles resampling idea to improve the robustness. By formulating the typical low range sidelobes mathematical problems, these nonlinear approximations can be solved via PFAP and FFT, where PFAP with resampling idea and particles assisted projection mechanism could enhance the global convergence under the non-convex constraint even with less iterations. Simulations demonstrates that PFAP outperforms some other prevalent ones.