Asynchronous Anti-bias Track Association Algorithm of Radar and Electronic Support Measurements
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摘要: 针对雷达与电子支援措施(ESM)存在系统误差、航迹异步等复杂条件下的航迹关联问题，该文提出一种基于区间序列离散度的异步抗差航迹关联算法。定义混合区间序列的离散信息度量，给出系统误差的区间化方法，通过计算区间离散度并利用经典分配法进行关联判定。与传统算法相比，可在系统误差存在的前提下无需时域配准对异步航迹直接关联，且对噪声分布不敏感。仿真结果表明，所提算法具有良好的抗差性且不受目标运动位置的影响，适用于传感器同地或异地配置等多种情况。Abstract: To address track association problem of radar and Electronic Support Measurements (ESM) under complex conditions such as system biases and asynchronous track, an asynchronous anti-bias track association algorithm based on discrete degree of interval sequence is proposed. The discrete information measurement of mixed interval sequence is defined and the interval method of system biases is given. The association determination is performed by calculating the interval discrete degree and using classical assignment method. Compared with the traditional algorithm, the asynchronous track can be directly correlated without time-domain registration in the presence of system errors and it is not sensitive to noise distribution. The simulation results show that the algorithm has good robust performance and is not affected by the target moving position. The algorithm can be applied to the configuration of sensors at same or different sites.
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Key words:
- Radar /
- Electronic Support Measurements (ESM) /
- Track association /
- System bias /
- Asynchronous track /
- Discrete degree
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表 1 雷达与ESM最大系统误差取值表
实验编号 1 2 3 4 5 6 $\Delta \theta _{\rm{m}}^s(^\circ )$ 0.5 0.5 1.0 1.5 0.5 0.5 $\Delta \theta _{\rm{m}}^w(^\circ )$ 0.5 0.5 0.5 0.5 1.0 1.5 $\Delta \rho _{\rm{m}}^s({\rm{m)}}$ 500 1000 500 500 500 500 
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表 2 不同系统误差下的算法关联率对比
实验编号 本文算法 文献[9]算法 文献[13]算法 文献[14]算法 Ec Ee Es Ec Ee Es Ec Ee Es Ec Ee Es 1 0.937 0.056 0.007 0.743 0.075 0.182 0.936 0.028 0.036 0.866 0.023 0.111 2 0.932 0.060 0.008 0.698 0.049 0.253 0.935 0.033 0.032 0.858 0.024 0.118 3 0.914 0.054 0.032 0.504 0.175 0.321 0.900 0.044 0.056 0.817 0.078 0.105 4 0.892 0.056 0.052 0.445 0.243 0.312 0.881 0.058 0.061 0.772 0.026 0.202 5 0.944 0.047 0.009 0.506 0.090 0.404 0.937 0.023 0.040 0.840 0.048 0.112 6 0.933 0.056 0.011 0.456 0.234 0.310 0.925 0.038 0.037 0.787 0.051 0.162
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表 4 不同采样周期和开机时延的正确关联率
ESM开机时延(s) 雷达，ESM采样周期(时间间隔)(s) t1=0.1,t2=0.3 t1=0.3,t2=0.5 t1=0.5,t2=1.1 Δt=0.1 0.913 0.913 0.834 Δt=0.2 0.922 0.891 0.844 Δt=0.3 0.928 0.890 0.820 Δt=0.4 0.927 0.881 0.831
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