基于多维分配和灰色理论的航迹关联算法

针对目前应用于分布式多传感器系统中航迹关联算法只能解决两局部节点航迹相关的问题，该文提出了一种基于多维分配的灰色航迹关联算法。该算法运用灰色理论获取各传感器航迹间的灰色关联度，以此关联度为多传感器系统的全局统计量构造多维灰色关联度矩阵，并根据此矩阵形成的多维分配问题的解获得各传感器航迹间的关联结果。仿真结果表明，在密集目标环境下和/或交叉、分岔及机动航迹较多的场合，该算法的性能明显优于传统方法，其正确关联率较灰色航迹关联算法提高了大约8.8%。

Track Correlation Algorithm Based on Multi-dimension Assignment and Gray Theory

To resolve the problem of track correlation in distributed multi-sensor system, a track correlation algorithm based on multi-dimension assignment and gray theory is presented in this paper. Firstly, gray theory is applied to acquire a global statistical vector in the distributed multi-sensor system. Then, a multi-dimension gray similar degree matrix is build according to the global statistical vector. Based on this matrix, the track correlation results can be got by a multi-dimension assignment method. At last, the algorithm is compared with gray track correlation algorithm. The simulation results show that the performance of the algorithm here is much better than that of the gray track correlation algorithm in dense multi-target environments, more cross, split and maneuvering track situations. In this situations, its correct correlation rate is improved about 8.8 percent over that of the gray track correlation algorithm.