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

Abstract

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

CLC Number:

TN958.5

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.

Figures/Tables 7

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References 30

1	ANTONIK P, WICKS M C, GRIFFITHS H D, et al. Frequency diverse array radars[C]//Proc. of the IEEE Conference on Radar, 2006: 215-217.
2	王文钦, 张顺生. 频控阵雷达技术研究进展综述[J]. 雷达学报, 2022, 11 (5): 830- 849.
	WANG W Q , ZHANG S S . Recent advances in frequency diverse array radar techniques[J]. Journal of Radars, 2022, 11 (5): 830- 849.
3	WANG W Q , SHAO H , CAI J . Range-angle-dependent beamforming by frequency diverse array antenna[J]. International Journal of Antennas and Propagation, 2012, 2012 (1): 760489.
4	WANG W Q , SO H C . Transmit subaperturing for range and angle estimation in frequency diverse array radar[J]. IEEE Trans. on Signal Processing, 2014, 62 (8): 2000- 2011. doi: 10.1109/TSP.2014.2305638
5	XU Y H , WANG A Y , XU J W . Range-angle transceiver beamforming based on semicircular-FDA scheme[J]. IEEE Trans. on Aerospace and Electronic Systems, 2022, 58 (2): 834- 843. doi: 10.1109/TAES.2021.3111792
6	ZHAO Y J , TIAN B , WANG C Y , et al. Robust adaptive beamforming via improved worst-case performance optimization algorithm based on FDA-MIMO[J]. Multidimensional Systems and Signal Processing, 2022, 33 (3): 725- 746. doi: 10.1007/s11045-021-00801-z
7	JIA W K , WANG W Q , ZHANG S S . Joint design of the transmit and receive weights for coherent FDA radar[J]. Signal Processing, 2023, 204, 108834. doi: 10.1016/j.sigpro.2022.108834
8	LI J , STOICA P . MIMO radar with colocated antennas[J]. IEEE Signal Processing Magazine, 2007, 24 (5): 106- 114. doi: 10.1109/MSP.2007.904812
9	LI J , STOICA P , ZHEN H X . Signal synthesis and receiver design for MIMO radar imaging[J]. IEEE Trans. on Signal Processing, 2008, 56 (8): 3959- 3968. doi: 10.1109/TSP.2008.923197
10	TANG B , TANG J , PENG Y N . MIMO radar waveform design in colored noise based on information theory[J]. IEEE Trans. on Signal Processing, 2010, 58 (9): 4684- 4697. doi: 10.1109/TSP.2010.2050885
11	SAMMARTINO P F , BAKER C J , GRIFFITHS H D . Frequency diverse MIMO techniques for radar[J]. IEEE Trans. on Aerospace and Electronic Systems, 2013, 49 (1): 201- 222. doi: 10.1109/TAES.2013.6404099
12	兰岚, 廖桂生, 许京伟, 等. 基于频率分集阵列的多功能一体化波形设计与信号处理方法[J]. 雷达学报, 2022, 11 (5): 850- 870.
	LAN L , LIAO G S , XU J W , et al. Waveform design and signal processing method of a multifunctional integrated system based on a frequency diverse array[J]. Journal of Radars, 2022, 11 (5): 850- 870.
13	XU J W , LIAO G S , SO H C . Deceptive jamming suppression with frequency diverse MIMO radar[J]. Signal Processing, 2015, 113, 9- 17. doi: 10.1016/j.sigpro.2015.01.014
14	兰岚, 许京伟, 朱圣棋, 等. 波形分集阵列雷达抗干扰进展[J]. 系统工程与电子技术, 2021, 43 (6): 1437- 1451. doi: 10.12305/j.issn.1001-506X.2021.06.01
	LAN L , XU J W , ZHU S Q , et al. Advances in anti-jamming using waveform diverse array radar[J]. Systems Engineering and Electronics, 2021, 43 (6): 1437- 1451. doi: 10.12305/j.issn.1001-506X.2021.06.01
15	WANG K Y , LIAO G S , XU J W , et al. Clutter rank analysis in airborne FDA-MIMO radar with range ambiguity[J]. IEEE Trans. on Aerospace and Electronic Systems, 2022, 58 (2): 1416- 1430. doi: 10.1109/TAES.2021.3122822
16	XU J W , LIAO G S , HUANG L , et al. Robust adaptive beamforming for fast-moving target detection with FDA-STAP radar[J]. IEEE Trans. on Signal Processing, 2017, 65 (4): 973- 984. doi: 10.1109/TSP.2016.2628340
17	LAN L , ROSAMILIA M , AUBRY A , et al. Single-snapshot angle and incremental range estimation for FDA-MIMO radar[J]. IEEE Trans. on Aerospace and Electronic Systems, 2021, 57 (6): 3705- 3718. doi: 10.1109/TAES.2021.3083591
18	HUANG B , WANG W Q , BASIT A , et al. Bayesian detection in Gaussian clutter for FDA-MIMO radar[J]. IEEE Trans. on Vehicular Technology, 2022, 71 (3): 2655- 2667. doi: 10.1109/TVT.2021.3139894
19	GONG P , WANG W Q , LI F , et al. Sparsity-aware transmit beamspace design for FDA-MIMO radar[J]. Signal Processing, 2018, 144, 99- 103. doi: 10.1016/j.sigpro.2017.10.008
20	BASIT A , WANG W Q , WALI S , et al. Transmit beamspace design for FDA-MIMO radar with alternating direction method of multipliers[J]. Signal Processing, 2021, 180, 107832. doi: 10.1016/j.sigpro.2020.107832
21	LAN L , XU J W , LIAO G S , et al. Suppression of mainbeam deceptive jammer with FDA-MIMO radar[J]. IEEE Trans. on Vehicular Technology, 2020, 69 (10): 11584- 11598. doi: 10.1109/TVT.2020.3014689
22	DING Z H , XIE J W . Joint transmit and receive beamforming for cognitive FDA-MIMO radar with moving target[J]. IEEE Sensors Journal, 2021, 21 (18): 20878- 20885. doi: 10.1109/JSEN.2021.3100332
23	巩朋成, 吴云韬. 基于ADMM改进的低截获FDA-MIMO雷达发射波束设计[J]. 通信学报, 2022, 43 (4): 133- 142.
	GONG P C , WU Y T . Improve transmit beamforming design via ADMM for low probability of intercept of FDA-MIMO radar[J]. Journal of Communications, 2022, 43 (3): 133- 142.
24	巩朋成, 王兆彬, 谭海明, 等. 杂波背景下基于交替方向乘子法的低截获频控阵MIMO雷达收发联合优化方法[J]. 电子与信息学报, 2021, 43 (5): 1267- 1274.
	GONG P C , WANG Z B , TAN H M , et al. Joint design of the transmit and receive beamforming via alternating direction method of multipliers for LPI of frequency diverse array MIMO radar in the presence of clutter[J]. Journal of Electronics & Information Technology, 2021, 43 (5): 1267- 1274.
25	LIAO Y , WANG J , LIU Q H . Transmit beampattern synthesis for frequency diverse array with particle swarm frequency offset optimization[J]. IEEE Trans. on Antennas and Propagation, 2021, 69 (2): 892- 901. doi: 10.1109/TAP.2020.3027576
26	XIONG J , WANG W Q , SHAO H , et al. Frequency diverse array transmit beampattern optimization with genetic algorithm[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 16, 469- 472.
27	TAN M , WANG C Y , LI Z H . Correction analysis of frequency diverse array radar about time[J]. IEEE Trans. on Antennas and Propagation, 2021, 69 (2): 834- 847. doi: 10.1109/TAP.2020.3016508
28	DE-MAIO A , DE-NICOLA S , HUANG Y , et al. Design of phase codes for radar performance optimization with a similarity constraint[J]. IEEE Trans. on Signal Processing, 2009, 57 (2): 610- 621. doi: 10.1109/TSP.2008.2008247
29	CUI G L , LI H B , RANGASWAMY M . MIMO radar waveform design with constant modulus and similarity constraints[J]. IEEE Trans. on Signal Processing, 2014, 62 (2): 343- 353. doi: 10.1109/TSP.2013.2288086
30	LUO Z Q , MA W K , SO A M C , et al. Semidefinite relaxation of quadratic optimization problems[J]. IEEE Signal Processing Magazine, 2010, 27 (3): 20- 34. doi: 10.1109/MSP.2010.936019

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Joint design method of receiving filter and transmission frequency offset for dual sub-pulse FDA-MIMO radar

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