基于正性约束的测向交叉定位方法

A Positive Restriction Method Used in Crossing Location

  • 摘要: 传统的交叉定位方法将波达方向(DOA)的正切值作为斜率,求出信号源的位置坐标的线性最小二乘解。由于正切值存在前向/后向的角度模糊,在DOA测量误差较大的情况下,将引入较大的交叉定位误差。针对该问题,该文提出了一种利用DOA的正弦值和余弦值构建交叉定位方程组的算法,且对信号源与观测站之间的距离参数进行正性约束,避免了DOA前向/后向模糊。仿真结果表明,在DOA测量误差较大的情况下,该方法比传统的交叉定位方法更精确。

     

    Abstract: Traditional cross-location method uses the tangent of direction of arrival (DOA) as slope to obtain a least square solution by solving a linear equation. Generally, using the tangent of DOA as slope makes the direction indistinct in 180o. If the measurement error of the DOA is low, traditional cross-location method performs well, and the direction indistinct in 180o has little influence on the result of the algorithm. But once we deal with a large measurement error situation, the direction indistinct in 180o will import additional prominent error, which will have big influence on the precision of location. Therefore, this article proposes a new method which uses the sine and cosine of the DOAs to form the cross-location equations, subject to the constraint of the positive distance to find a solution. This method has no direction indistinct in 180o and improves the precision of the location result. The simulation result by the computer verified the fact that the new proposed method has a better location result than the traditional method under large measurement error.

     

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