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Jointly optimal design for mimo radar frequency-hopping waveforms using game theory

机译：运用博弈论联合设计mimo雷达跳频波形的最优设计

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Using a colocated multiple input/multiple output (MIMO) radar system, we consider the problem of joint design of amplitudes and frequency-hopping codes for frequency-hopping waveforms. The joint design method yields better combined code and amplitude matrices that result in improved performance over that of separate designs. We propose a game theory framework for the joint design. First, we present the MIMO radar signal model and the sparse representation. Then the problem formulation is constructed based on sparse recovery and the ambiguity function of the MIMO radar system for frequency-hopping waveforms. For amplitude design, we propose two strategies: amplitude design with separate constraints and amplitude design by fusing all transmitters. We formulate a novel game model and propose two joint design algorithms, one applying a noncooperative scheme and the other applying a cooperative scheme. Owing to the extremely large size of the feasible set of the discrete code, we propose to use these algorithms to obtain the ??-approximate equilibrium. We demonstrate the improvement of the resulting codes and amplitudes through numerical examples.
机译：使用共置的多输入/多输出（MIMO）雷达系统，我们考虑了针对跳频波形的幅度和跳频代码的联合设计问题。联合设计方法可产生更好的组合代码和幅度矩阵，从而使性能优于单独设计。我们为联合设计提出了一个博弈论框架。首先，我们介绍了MIMO雷达信号模型和稀疏表示。然后，基于稀疏恢复和MIMO雷达系统跳频波形的模糊函数，构造问题表述。对于幅度设计，我们提出了两种策略：具有单独约束的幅度设计和通过融合所有发送器进行幅度设计。我们制定了一个新颖的博弈模型，并提出了两种联合设计算法，一种采用非合作方案，另一种采用合作方案。由于离散代码的可行集的尺寸非常大，我们建议使用这些算法来获得Δε-近似平衡。我们通过数值示例证明了所得代码和幅度的改进。

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