关键词: 精确干扰, 波形设计, 复圆流形, 多目标优化

Abstract:

Precision jamming is a new concept in the field of electronic warfare.The core idea is to adopt a group of drone swarms equipped with jammers as ultra-sparse arrays to transmit the jamming waveform,which aims to implement blanket jamming to the opponent equipment in the spatial domain precisely and ensures that the friendly equipment is not being affected.However,the existing methods apply only to some specific scenarios,and they need to be improved in computational efficiency.In this case,this paper proposes an efficient waveform design algorithm based on the complex circle manifold to improve the computational efficiency,which can control the energy level in the target and friendly regions according to the practical requirement.First,we establish a novel multi-objective optimization problem(MOP) with unimodular constraints according to the precision jamming geometric model and the worst case of jamming energy distribution in the spatial domain.Then,we adopt the L_p-norm to smooth and approximate the minimax objective function.Finally,the MOP with unimodular constraints is viewed as an unconstrainted problem under the complex circle manifold from the perspective of the Riemann geometry,with the Riemannian Conjugate Gradient(RCG) algorithm employed to solve the problem efficiently.Simulation results are provided to demonstrate that the proposed algorithm can control the energy level in different regions by adjusting the regularization parameter,which meets the requirement of different scenarios and tasks of precision jamming.Moreover,it has a lower computational complexity and improves the computational efficiency for the precision jamming waveform design as compared to the existing methods.

Key words: precision jamming, waveform design, complex circle manifold, multi-objective optimization