频率分集阵列负型模糊函数特性仿真

王博; 谢军伟; 张晶; 孙渤森

doi:10.13700/j.bh.1001-5965.2019.0133

频率分集阵列负型模糊函数特性仿真

doi: 10.13700/j.bh.1001-5965.2019.0133

王博¹,
谢军伟^1, ,,
张晶²,
孙渤森³

1.
空军工程大学防空反导学院, 西安 710051
2.
陕西交通职业技术学院, 西安 710018
3.
西安财经大学信息学院, 西安 710100

基金项目:

国家自然科学基金 61503408

详细信息

作者简介:
王博, 男, 博士研究生。主要研究方向:频率分集阵列雷达信号处理及干扰抑制方法

谢军伟, 男, 博士, 教授, 博士生导师。主要研究方向:隐身与反隐身、雷达电子战

张晶, 女, 硕士, 讲师。主要研究方向:频率分集阵列雷达信号处理

通讯作者:
谢军伟, E-mail:xjw_xjw_123@163.com

中图分类号: TN973.21
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- 被引次数: 0
出版历程
- 收稿日期: 2019-03-27
- 录用日期: 2019-08-12
- 网络出版日期: 2020-01-20

Negative ambiguity function characteristics simulation of FDA

1.
Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China
2.
Shaanxi College of Communication Technology, Xi'an 710018, China
3.
School of Information, Xi'an University of Finance and Economics, Xi'an 710100, China

Funds:

National Natural Science Foundation of China 61503408

More Information

Corresponding author: XIE Junwei, E-mail:xjw_xjw_123@163.com

摘要

摘要:
现有研究主要是关于频率分集阵列（FDA）基于阵元发射窄带条件下单载频信号的假设而展开的，缺乏对线性调频（LFM）信号是否适用于FDA问题的研究。考虑到基于模糊函数的优化是雷达波形设计的重要手段，在建立FDA数据模型的基础上，建立线阵发射、单天线接收模型下的FDA负型模糊函数，系统分析其主要特性。在此基础上，仿真分析了基于矩形脉冲、线性调频信号以及采用不同非线性频控函数的FDA负型模糊函数特性，对比了采用不同非线性频控函数的FDA的目标距离-角度二维联合估计性能。仿真结果在验证FDA模糊函数建立正确性的同时，得出采用正弦频控函数的FDA性能最优的结论。从而为基于模糊函数的复杂信号FDA波形设计以及基于FDA方向图解耦技术的发射波形设计奠定了重要基础。
- 频率分集阵列(FDA) /
- 模糊函数 /
- 非线性频偏 /
- 矩形脉冲信号 /
- 线性调频信号
Abstract:
Considering that the existing extensive research on frequency diverse array (FDA) is mainly working on the assumption that single-carrier frequency signals are transmitted under narrow-band conditions. And there is a lack of relevant research on the issue whether linear frequency modulation signals are suitable for FDAs. Considering that ambiguity function based optimization is an important means of radar's waveform design, based on the establishment of FDA data model, this paper establishes FDA negative ambiguity function under linear array transmission and single-antenna reception model and analyzes its main characteristics systematically. On this basis, the characteristics of FDA negative ambiguity function based on rectangular pulse, linear frequency modulation (LFM) signal and different nonlinear frequency offset are simulated and compared. The performance of target range-angle two-dimensional joint estimation of FDA using different nonlinear frequency control functions is compared. The simulation results verify that the FDA ambiguity function is correct, and the performance of FDA with sinusoidal frequency offset is the best. This lays an important foundation for the complex signal FDA waveform design based on ambiguity function and the transmission waveform design based on FDA beampatten decoupling technology.
- frequency diverse array (FDA) /
- ambiguity function /
- nonlinear frequency offset /
- rectangular pulse signal /
- linear frequency modulation signal

HTML全文

图 1 ULA-FDA阵列基本结构

Figure 1. Basic configuration of ULA-FDA

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图 2 PA和FDA发射方向图

Figure 2. Transmit beampattern of PA and FDA

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图 3 矩形脉冲FDA模糊图

Figure 3. Rectangular pulse FDA ambiguity chart

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图 4 ξ=0的矩形脉冲FDA模糊图

Figure 4. Rectangular pulse FDA ambiguity chart with ξ=0

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图 5 τ=0的矩形脉冲FDA模糊图

Figure 5. Rectangular pulse FDA ambiguity chart with τ=0

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图 6 矩形脉冲FDA负型模糊函数等高图

Figure 6. Contour map of rectangular pulse FDA negative ambiguity

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图 7 LFM信号FDA模糊图

Figure 7. LFM signal FDA ambiguity chart

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图 8 ξ=0的LFM信号FDA模糊图

Figure 8. LFM signal FDA ambiguity chart with ξ=0

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图 9 τ=0的LFM信号FDA模糊图

Figure 9. LFM signal FDA ambiguity chart with τ=0

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图 10 LFM信号FDA负型模糊函数等高图

Figure 10. Contour map of LFM signal FDA negative ambiguity

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图 11 MUSIC谱(θ₀=0°，r₀=5 km)

Figure 11. MUSIC spectrum (θ₀=0°, r₀=5 km)

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图 12 MUSIC谱(θ₀=0°，r₀=500 km)

Figure 12. MUSIC spectrum (θ₀=0°, r₀=500 km)

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图 13 Δf_n=sin nΔf的FDA矩形脉冲

Figure 13. Rectangular pulse FDA under Δf_n=sin nΔf

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图 14 Δf_n=n³Δf的FDA矩形脉冲

Figure 14. Rectangular pulse FDA under Δf_n=n³Δf

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图 15 Δf_n=lg(n+1)Δf的FDA矩形脉冲

Figure 15. Rectangular pulse FDA under Δf_n=lg(n+1)Δf

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图 16 Δf_n=Δf/(n+1)的FDA矩形脉冲

Figure 16. Rectangular pulse FDA under Δf_n=Δf/(n+1)

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图 17 Δf_n=eⁿΔf的FDA矩形脉冲

Figure 17. Rectangular pulse FDA under Δf_n=eⁿΔf

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图 18 Δf=0的PA矩形脉冲

Figure 18. Rectangular pulse PA under Δf=0

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