基于责任区划分的雷达网探测高超声速目标资源管理

doi:10.7527/S1000-6893.2023.29022

Abstract

Abstract:

To solve the problem of high computational effort for real-time track assignment of highly maneuverable hypersonic targets， a resource management method is proposed based on responsibility area partitioning of radar network. To minimize the sum of the energy emitted by the radar network and the cost of track delays， a model for radar network resource management is established. Based on the results obtained from the model， a responsibility area partitioning method is proposed to minimize the maximum resource demand of radars within the network. Furthermore， a formula for optimizing the responsibility area partitioning considering the density of target distribution is derived， simplifying the resource allocation problem to determining which area the target falls into and enabling advanced track allocation for such targets. Simulation results demonstrate that with the minimal influence on track performance， the proposed method can pre-allocate approximately 40% of the maximum target track tasks within the defense area， thus significantly reducing the computational effort of real-time target allocation algorithms and enhancing the robustness of radar resource utilization.

Key words: radar network, hypersonic target, track assignment, responsibility area partitioning, target density

CLC Number:

V219

Jiancheng ZHENG, Zhiguo QU, Xiansi TAN, Zhihuai LI, Gang ZHU, Lujun LI, Wei LIU. Resource management for hypersonic target detection by radar network based on responsibility area partitioning[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(8): 329022-329022.

Figures/Tables 9

Fig.1

Table 1

List of parameters

参数符号	物理意义
$t ∈ T$	观测时间内的时间步长
$i ∈ I$	网内雷达序号
$j ∈ J$	目标序号
$k ∈ K$	波形种类数
$l ∈ L$	跟踪间隔 $L$ 内的时间步数
$n ∈ N$	线性延迟跟踪代价函数的分段数
$j, t ∈ M ⊂ J × T$	雷达网在第 $t$ 个时间步长内跟踪目标 $j$
$τ k$	波形 $k$ 的脉冲宽度
$n c$	雷达跟踪容量
$a n$	第 $n$ 段线性延迟跟踪代价函数的斜率
$b n$	第 $n$ 段线性延迟跟踪代价函数的截距

Table 1

Table 2

Decision variables

变量符号	取值范围	物理意义
$x i, j, t, k$	$0, 1$	雷达 $i$ 是否在时间 $t$ 发射脉冲宽度为 $τ k$ 的波形跟踪目标 $j$
$y j, t$	$≥ 0$	对目标 $j$ 的跟踪从观测间隔 $L$ 延迟至时间 $t + L + 1$ 所需时间步数的代价
$z j, t$	$0, 1$	雷达网是否未在时间 $t + 1$ ~ $t + L$ 之间对目标进行跟踪
$w j, t$	$N$	根据观测频率要求，对目标 $j$ 的跟踪延迟至 $t + L + 1$ 的时间步数

Table 2

Fig.2

Fig.3

Table 3

Simulation parameters

类别	符号	数值
发射功率/MW	$P$	1
天线增益/dB	$G$	56
波长/cm	$λ$	7.5
目标RCS/m²	$σ$	0.1
噪声系数	$F$	2
等效噪声温度/K	$T e$	290
雷达系统损耗/dB	$L s$	11.6

Table 3

Fig.4

Fig.5

Fig.6

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Resource management for hypersonic target detection by radar network based on responsibility area partitioning

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