改进二阶锥松弛和泰勒级数展开在TDOA无源定位中的应用

发布时间：2018-06-11 12:04

本文选题：无源定位 + 到达时间差　；参考：《信号处理》2014年10期

【摘要】：针对二阶锥松弛算法无法对凸包外的目标进行有效定位的问题,本文提出基于改进二阶锥松弛和泰勒级数展开的TDOA定位算法。首先,给出在视距条件下接收站位置信息无误差的TDOA定位的加权最小二乘模型;其次,简要分析凸包问题的形成原因,并提出解决思路,即在传统二阶锥松弛算法的基础上增加新的惩罚项,使松弛后的约束条件进一步逼近原问题约束,从而有效解决二阶锥松弛定位中的凸包问题。与此同时,文中还给出了新增惩罚项的选取准则;再次,将松弛后的模型转换成二阶锥形式进行求解;最后用二阶锥松弛算法的估计值作为初始值进行泰勒迭代,进一步提高估值精度。仿真结果表明本文算法有效,可以对凸包外的目标实现高精度定位,其RMSE曲线逼近克拉美罗下限。
[Abstract]:Aiming at the problem that the second-order cone relaxation algorithm can not effectively locate the target outside the convex hull, a TDOA localization algorithm based on the improved second-order cone relaxation and Taylor series expansion is proposed in this paper. Firstly, the weighted least square model of TDOA location with no error in the position information of receiving station under the condition of visual distance is given. Secondly, the causes of convex hull problem are briefly analyzed, and the solutions are put forward. Based on the traditional second-order cone relaxation algorithm, a new penalty term is added, which makes the relaxed constraint condition approach the original constraint further, thus effectively solving the convex hull problem in the second-order cone relaxation localization. At the same time, the new penalty term selection criterion is given; thirdly, the relaxed model is transformed into a second-order cone form to be solved; finally, the Taylor iteration is carried out using the estimation value of the second-order cone relaxation algorithm as the initial value. Further improve the accuracy of the valuation. The simulation results show that the proposed algorithm is effective and can be used to locate the target outside convex hull with high precision. The RMSE curve approximates the lower limit of Clemero.
【作者单位】：合肥电子工程学院;
【分类号】：TN911.7

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