Hong Sheng, Dong Yantao, Xie Rui, Ai Yu, Wang Yuhao
School of Information Engineering, Nanchang University, Nanchang 330031, China.
School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan 430074, China.
Sensors (Basel). 2020 Jan 31;20(3):773. doi: 10.3390/s20030773.
This paper considers the design of a desired transmit beampattern under the good ambiguity function constraint using a correlated linear frequency modulation-phase coded (LFM-PC) waveform set in multiple-input-multiple-output (MIMO) radar. Different from most existing beampattern design approaches, we propose using the LFM-PC waveform set to conquer the challenging problem of synthesizing waveforms with constant-envelope and easy-generation properties, and, meanwhile, solve the hard constraint of a good ambiguity behaviour. First, the ambiguity function of the LFM-PC waveform set is derived, and the superiority of LFM-PC waveforms over LFM and PC waveforms is verified. The temporal and spatial characteristic analysis of the LFM-PC waveform set demonstrates that both the transmit beampattern and sidelobe level are mainly affected by the frequency intervals, bandwidths, and phase-coded sequences of the LFM-PC waveform set. Finally, the constrained beampattern design problem is formulated by optimizing these parameters for desired beampatterns and low sidelobes at different doppler frequencies, which is a bi-objective optimization problem. To solve this, we propose a joint optimization strategy followed by a mandatory optimization, where the sequence quadratic programming (SQP) algorithm and adaptive clonal selection (ACS) algorithm are exploited iteratively. The simulation results demonstrate the efficiency of our proposed method.
本文考虑了在多输入多输出(MIMO)雷达中,利用相关线性调频-相位编码(LFM-PC)波形集,在良好模糊函数约束下设计期望的发射波束方向图。与大多数现有的波束方向图设计方法不同,我们提出使用LFM-PC波形集来克服合成具有恒包络和易于生成特性的波形这一具有挑战性的问题,同时解决良好模糊特性的严格约束。首先,推导了LFM-PC波形集的模糊函数,并验证了LFM-PC波形相对于LFM和PC波形的优越性。LFM-PC波形集的时间和空间特性分析表明,发射波束方向图和旁瓣电平主要受LFM-PC波形集的频率间隔、带宽和相位编码序列的影响。最后,通过针对不同多普勒频率下的期望波束方向图和低旁瓣优化这些参数,提出了约束波束方向图设计问题,这是一个双目标优化问题。为了解决这个问题,我们提出了一种联合优化策略,随后进行强制优化,其中迭代利用序列二次规划(SQP)算法和自适应克隆选择(ACS)算法。仿真结果证明了我们所提方法的有效性。