多准则联合的频谱兼容波形快速优化方法

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中图分类号：TN974 文献标志码：A DOI：10.12305/j.issn.1001-506X.2025.04.02

Abstract：The spectrally compatible waveform uses multiple discrete silent bandwidths to synthesize a large bandwidth，which mets the bandwidth requirement and efectively combats dense interference in the frequency domain.In order to suppress the peak sidelobe level of the spectrally compatible waveform，alow 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 adaptivedetermination method of the weighting value.Finally，the effectiveness of the proposed method is verified by numerical simulation.

Keywords：spectrally compatible waveform；peak sidelobe level；weighted objective function；conjugate gradient method

0 引言

随着无线电产业的快速发展，传感器设备的数量呈爆炸式增长，雷达工作所处的电磁环境中同频干扰密集分布，频谱资源越来越紧张[1-4]。（剩余17669字）