双子脉冲FDA-MIMO雷达接收滤波器与发射频偏联合设计方法

doi:10.12305/j.issn.1001-506X.2025.04.11

摘要/Abstract

摘要：

为提高频控阵-多输入多输出(frequency diverse array multiple-input and multiple-output, FDA-MIMO) 雷达系统的抗干扰能力, 提出一种基于双子脉冲模式的FDA-MIMO雷达接收滤波器-发射频偏联合优化设计方法。在传统脉冲的基础上, 引入双子脉冲发射模式并建立相关信号模型。在此基础上, 建立以最大信干噪比(signal-to -interference-plus-noise ratio, SINR)为准则的接收滤波器-发射频偏联合优化问题。为了得到最优的接收-发射滤波器设计方案, 引入一种迭代优化算法，将该优化问题拆分为接收滤波器优化和发射频偏优化两个独立的子问题。为进一步完成对发射频偏的设计, 将其转化为关于发射导向矢量的设计问题, 采用半正定松弛和随机方法，并通过发射导向矢量和频偏的数学关系获得频偏的最终设计方案。最后, 通过仿真实验验证了所提双子脉冲FDA-MIMO雷达模式和接收滤波器-发射频偏联合优化设计方法对提高雷达系统抗干扰能力的有效性。

关键词: 频控阵, 多输入多输出雷达, 迭代优化, 半正定松弛, 频偏设计

Abstract:

To enhance the anti-interference capability of the frequency diverse array multiple-input and multiple-output (FDA-MIMO) radar system, a joint optimization design method for the FDA-MIMO radar receiver filter-transmission frequency offset based on the dual sub-pulse mode is proposed. On the basis of the traditional pulse, the dual sub-pulse transmission mode is introduced, and the relevant signal model is established. On this basis, a joint optimization problem for the receiver filter-transmission frequency offset is formulated with the criterion of maximizing the signal-to-interference-plus-noise ratio (SINR). To obtain the optimal design scheme of the receiver-transmitter filter, an iterative optimization algorithm is introduced to decompose the optimization problem into two independent sub-problems containing receiver filter optimization and transmission frequency offset optimization. To further complete the design of the transmission frequency offset, the above problem is transformed into a design problem related to the transmission steering vector. By employing semi-definite relaxation and stochastic methods, and leveraging the mathematical relationship between the transmission steering vector and the frequency offset, the final design of the frequency offset is obtained. Finally, simulation experiments verify the effectiveness of the proposed dual sub-pulse FDA-MIMO radar mode and the joint optimization design method for the receiver filter-transmission frequency offset in improving the anti-interference capability of the radar system.

Key words: frequency diverse array, multiple-input and multiple-output (MIMO) radar, iterative optimization, semi-definite relaxation, frequency offset design

中图分类号:

TN958.5

丁梓航, 谢军伟, 吴苗苗, 盛川, 高旭辰. 双子脉冲FDA-MIMO雷达接收滤波器与发射频偏联合设计方法[J]. 系统工程与电子技术, 2025, 47(4): 1146-1154.

Zihang DING, Junwei XIE, Miaomiao WU, Chuan SHENG, Xuchen GAO. Joint design method of receiving filter and transmission frequency offset for dual sub-pulse FDA-MIMO radar[J]. Systems Engineering and Electronics, 2025, 47(4): 1146-1154.

图/表 7

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