Correlated LFM Waveform Set Design for MIMO Radar Transmit Beampattern
Correlated LFM Waveform Set Design for MIMO Radar Transmit Beampattern
复制标题
DOI：
10.1109/lgrs.2016.2639826
复制
发表时间：
2017-01
影响因子：
4.8
通讯作者：
Hui Li;Yongbo Zhao;Zengfei Cheng;Dazheng Feng
中科院分区：
文献类型：
--
作者：
Hui Li;Yongbo Zhao;Zengfei Cheng;Dazheng Feng
由于波形的多样性，多输入多输出雷达与相控阵雷达相比具有许多优势，其中之一是发射波束方向图的设计具有更大的灵活性。因此，发射波束方向图的波形组设计成为一个吸引人的课题，近年来提出了许多方法。然而，以往的方法不能合成具有恒包络和易产生特性的波形。在这封信中，我们建议设计一组相关的线性调频(LFM)波形来解决这个问题。首先，分析了线性调频波形组的协方差矩阵，得到了发射波束方向图的公式。由于发射波束方向图主要受LFM波形的频率阶跃和初始相位的影响，通过对不同波束方向图的这些参数进行优化，建立了相关的LFM波形组设计问题。采用约束非线性优化方法进行求解，得到了线性调频波形。所设计的波形具有包络恒定、易于产生的特点，能够很好地匹配所需的发射波束方向图。仿真结果表明了该方法的优越性。
Multiple-input multiple-output radar has many advantages over the phased-array radar system due to the waveform diversity, one of which is the greater flexibility to design the transmit beampattern. Hence, waveform set design for transmit beampattern has become an attractive topic, and many methods have been proposed in recent years. However, previous methods cannot synthesize the waveforms with constant-envelope and easy-generation properties. In this letter, we propose to design a set of correlated linear frequency modulation (LFM) waveforms to solve this problem. First, the covariance matrix of the LFM waveform set is analyzed, and the formulation of the transmit beampattern is obtained accordingly. Since the transmit beampattern is mainly affected by the frequency steps and initial phases of the LFM waveforms, the correlated LFM waveform set design problems are formulated by optimizing these parameters for different beampatterns. The resulting problems are solved by adopting the constrained nonlinear optimization, and the LFM waveforms are obtained consequently. The designed waveforms have the properties of constant-envelope and easy generation, and can match the desired transmit beampattern properly. Simulation results demonstrate the superiority of our proposed method.