Efficient waveform design with jamming characteristics for precision electronic warfare

The goal of precision electronic warfare (PREW) is to implement blanket jamming on the targets precisely and ensure that friendly devices are not affected; thus, it requires controlling energy precisely in the spatial domain and covering the working bandwidth of the target equipment in the frequency domain. In this paper, we propose the algorithms to design waveforms with jamming characteristics for PREW, where the frequency requirement is converted to mitigation on the autocorrelation peak sidelobe level (APSL) of the combined waveform in the time domain. Then, we establish two multiobjective problems (MOPs) based on one-step and two-step methods, which have their own advantages in practice; that is, the former performs better on the computational efficiency by obtaining the waveform directly, and the latter controls the energy better in the worst-case scenario by recovering the covariance matrix of the waveform. To solve the two MOPs, the ℓp-norm and a reasonable conversion are employed to approximate the highly nonconvex APSL terms, and the objective functions are transformed into quadratic terms within the majorization-minimization (MM) framework. An accelerating scheme is applied to expedite the proposed algorithms. Numerical examples demonstrate that the two proposed algorithms outperform the existing algorithms on the jamming performance and computational burden.