Cognitive radar is an intelligent radar system, and adaptive waveform design is one of the core problems in cognitive radar research. In the previous studies, it is assumed that the prior information of the target is known, and the definition of target spectrum variance has not changed. In this paper, we study on robust waveform design problem in multiple targets scene. We hope that the upper and lower bounds of the uncertainty range of robustness are more close to the actual situation, and establish a finite time random target signal model based on mutual information (MI). On the basis of the optimal transmitted waveform and robust waveform based on MI, we redefine the target spectrum variance as harmonic variance, and propose a novel robust waveform design method based on harmonic variance and MI. We compare its performance with robust waveform based on original variance. Simulation results show that, in the situation of multiple targets, compared to the original variance, the MI lifting rate of robust waveform based on harmonic variance relative to the optimal transmitted waveform in the uncertainty range has great improvement. In certain circumstances, robust waveform based on harmonic variance and MI is more suitable for more targets.

中文翻译：

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基于谐波方差和互信息的多目标鲁棒波形设计

认知雷达是一种智能雷达系统，自适应波形设计是认知雷达研究的核心问题之一。在先前的研究中，假定目标的先验信息是已知的，并且目标光谱方差的定义未更改。本文研究了多目标场景下的鲁棒波形设计问题。我们希望鲁棒性不确定性范围的上限和下限更接近于实际情况，并基于互信息（MI）建立有限时间随机目标信号模型。在基于MI的最优发射波形和鲁棒波形的基础上，将目标频谱方差重新定义为谐波方差，提出了一种基于谐波方差和MI的鲁棒波形设计方法。我们将其性能与基于原始方差的稳健波形进行比较。仿真结果表明，在多目标情况下，与原始方差相比，基于谐波方差的鲁棒波形的MI提升率相对于不确定范围内的最优传输波形有较大的提高。在某些情况下，基于谐波方差和MI的鲁棒波形更适合更多目标。