中文摘要：

针对到达时间差度量误差和声源具有鲁棒性的三维亩源定位问题，提出了一种用半正定规划方法求解的线性校正总体最小二乘全局性算法（LCTI-S-SDP）．将带二次等式约束的分式二次规划声源定位模型转化为带二次不等式约束的非凸齐次二次优化问题；利用对偶理论设计算法求出该模型的最优解．理论证明LCTLS-SDP算法能找到问题的最优解．实验结果显示，LCTLS—SDP算法有稳健的定位结果．

英文摘要：

A linear correct total least squares method by semidefinite programming global algorithm （LCTLS-SDP） is proposed for robust 3D acoustic source localization model considered time difference of arrival. The new algorithm finds the optimal solution of this ratio of quadratic functions model with a equality constraint by solving a non-convex homogenous quadratic optimization problem with inequality constraints. The dual theory is also used when designing.