基于能量强度测量的多声源目标位置线性估计方法

基于能量强度的多声源定位模型，本文提出了一种声源发射能量强度未知下的多声源目标位置线性估计方法。将多声源定位模型转化为线性最小二乘估计问题，估计方法以代数解形式表示多声源目标位置初始值。对初始估计值进一步优化，得到了精确的多声源目标位置估计值。该定位计算方法将定位结果以代数解形式表示，避免了数值计算过程中因初始解选择不当而导致的局部最优问题。仿真测试了所设计算法的定位精度,并由此分析了噪声及声音能量强度增益对定位误差的影响。结果表明优化后的计算结果较初始估计值有较大改进，在一定噪声范围内其定位精度可以接近于克拉美罗（CRLB）下界值。

Linear Estimation Method for Multiple Acoustic Source Target PositionsBased on Energy Strength Measurement

Based on the energy strength positioning model of multiple acoustic source, a linear estimation method for multiple acoustic source target positions is put forward when the transmit energy strengths of acoustic sources are unknown. By converting the positioning model of multiple acoustic source targets to the least square estimation problem, the estimation method represents the initial estimations of multiple acoustic source target positions as algebraic solutions. The accurate estimations of multiple acoustic source target positions are obtained by further optimizing the initial estimation value. The positioning calculation method represents the positioning results as the algebraic solutions and avoids the local optimum problem due to the improper initialization in the process of numerical calculation. The simulations test the positioning accuracy of the positioning calculation method and analyze the impacts of noises and acoustic energy strength gain on the positioning errors. The results show that compared with the initial estimations the optimized calculation results are greatly improved and the positioning accuracy can approach the Cramer Rao lower bound (CRLB) at a certain range of noise.