多准则联合的频谱兼容波形快速优化方法

The spectrally compatible waveform uses multiple discrete silent bandwidths to synthesize a large bandwidth, which meets the bandwidth requirement and effectively combats dense interference in the frequency domain. In order to suppress the peak sidelobe level of the spectrally compatible waveform, a low peak sidelobe spectrally-compatible waveform design scheme is proposed. The proposed scheme comprehensively considers the autocorrelation peak sidelobe performance and anti-interference performance of the waveforms, and constructs a weighted objective function, which is an non-deterministic polynomial-hard (NP-hard) problem under the constant mode constraint of the waveforms. To this end, the objective function is first approximated using exponential logarithmic smoothing technique, and then the conjugate gradient method based on fast Fourier transformation (CGFFT) is proposed to solve the problem. In addition, the waveform design needs to select the appropriate weighting value according to the requirements of the performance index, and this paper proposes an adaptive determination method of the weighting value. Finally, the effectiveness of the proposed method is verified by numerical simulation.