基于集中式MIMO雷达的功率带宽联合分配算法

doi:10.3969/j.issn.1001-506X.2020.05.10

摘要/Abstract

摘要：

针对集中式多输入多输出雷达对多目标进行跟踪的问题,提出一种基于后验克拉美罗下界的功率和带宽联合分配方法。该方法首先对各目标位置误差的后验克拉美罗下界进行预测,将克拉美罗下界构建为代价函数建立优化模型,从而将资源分配问题转化为求解非凸优化问题；而后运用凸松弛技术和循环最小化算法对该非凸优化问题进行求解；最后通过仿真验证所提算法的有效性。结果表明,与另外3种分配算法相比,所提算法在多种场景下均能有效提高目标跟踪精度。

关键词: 集中式多输入多输出雷达, 资源分配, 后验克拉美罗下界, 非凸优化, 多目标跟踪

Abstract:

Aiming at the problem of multi-target tracking by collocated multiple input multiple output radar, a power and bandwidth joint allocation method based on posterior Cramer-Rao lower bound (PCRLB) is proposed. This method firstly forecasts PCRLB of each target position error, and the sum of PCRLB is taken as the cost function to establish an optimization model, so as to transform the resource allocation problem into a non-convex optimization problem. Then the non-convex optimization problem is solved by using the convex relaxation technique and the cyclic minimization algorithm. Finally, the effectiveness of the proposed algorithm is verified by simulation. The results show that compared with the other three allocation algorithms, the proposed algorithm can effectively improve the target tracking accuracy in various scenarios.

Key words: collocated multiple input multiple output (MIMO) radar, resource allocation, posterior Cramer-Rao lower bound (PCRLB), non-convex optimization, multi-target tracking

中图分类号:

TN958

李正杰, 谢军伟, 张浩为, 张昭建. 基于集中式MIMO雷达的功率带宽联合分配算法[J]. 系统工程与电子技术, 2020, 42(5): 1041-1049.

Zhengjie LI, Junwei XIE, Haowei ZHANG, Zhaojian ZHANG. Joint power and bandwidth allocation algorithm based on collocated MIMO radar[J]. Systems Engineering and Electronics, 2020, 42(5): 1041-1049.

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目标	1	2	3
初始位置/km	(175.6, 20)	(115.2, -7.3)	(75.4, 70.9)
初始速度/(m/s)	(-580, 0)	(-180, -435)	(-380, -880)
初始加速度/(m/s²)	(-20, 0)	(-20, -15)	(-20, -20)

参数	含义
Q	目标数量
T₀	测量时间间隔
N	蒙特卡罗仿真次数
σ_r	基准距离测量误差
σ_f	基准多普勒频移测量误差
σ_θ	基准角度测量误差
$ {{\bar P}_{\min }}$	单波束最小功率
${{\bar P}_{\max }} $	单波束最大功率
P_total	系统总功率
${\rm{ }}{{\bar \beta }_{\min }} $	单波束最小带宽
$ {{\bar \beta }_{\max }}$	单波束最大带宽
β_total	系统总带宽

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