基于FRFT的单基地MIMO雷达稳健波束形成算法

doi:10.12305/j.issn.1001-506X.2023.01.10

摘要/Abstract

摘要：

以单基地多输入多输出(multiple input multiple output, MIMO)雷达系统为研究对象, 针对线性调频(linear frequency modulation, LFM)形式的正交频分复用(orthogonal frequency division multiplexing, OFDM)信号, 提出了一种新的稳健自适应波束形成算法。所提算法首先利用LFM信号的特性, 对匹配滤波后的雷达回波信号进行分数阶傅里叶变换(fractional Fourier transform, FRFT), 经化简得到峰值点作为阵列的观测值。而后, 利用观测值构建接收信号的协方差矩阵, 并使用Capon谱估计方法重构干扰加噪声数据协方差矩阵。最后, 通过求解优化问题估计实际导向矢量, 从而得到阵列的最优权值。通过计算机仿真实验, 验证了所提算法的有效性。

关键词: 稳健波束形成, 多输入多输出, 分数阶傅里叶变换, 线性调频, 正交频分复用

Abstract:

A new robust adaptive beamforming algorithm is proposed for orthogonal frequency division multiplexing (OFDM) signals in the form of linear frequency modulation (LFM) for the monostatic multiple input multiple output (MIMO) radar system. Firstly, the proposed algorithm uses the characteristics of the LFM signal to perform fractional Fourier transform (FRFT) on the matched filtered radar echo signals, and the peak points are obtained as the observation values of the array. Then, the covariance matrix of the received signal is constructed by using the observed values, and the covariance matrix of interference and noise data is reconstructed by the Capon spectrum estimation method. Finally, the actual steering vector is estimated by solving the optimization problem, and the optimal weight of the array is obtained. The effectiveness of the proposed algorithm is verified by computer simulation experiments.

Key words: robust beamforming, multiple input multiple output (MIMO), fractional Fourier transform (FRFT), linear frequency modulation (LFM), orthogonal frequency division multiplexing (OFDM)

中图分类号:

TN957.2

吕岩, 曹菲, 许剑锋, 冯晓伟. 基于FRFT的单基地MIMO雷达稳健波束形成算法[J]. 系统工程与电子技术, 2023, 45(1): 79-85.

Yan LYU, Fei CAO, Jianfeng XU, Xiaowei FENG. Robust beamforming algorithm for monostatic MIMO radar based on FRFT[J]. Systems Engineering and Electronics, 2023, 45(1): 79-85.

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参数	数值	参数	数值
载频/GHz	2.2	带宽/MHZ	8
采样频率/MHz	10	脉宽/μm	10
脉冲重复周期/μm	200	波门宽度	200

信源	DOA	(SNR/INR)/dB	速度/(m/s)	距离/km
SOI	20°	0	34	15.60
干扰1	-30°	30	-44	15.15
干扰2	-50°	35	-16	15.98

信源	DOA/(°)	(SNR/INR)/dB	速度/(m/s)	距离/km
SOI	20	0	12	14.40
干扰1	-30	30	-34	15.02
干扰2	-50	35	35	16.36

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