混合高斯噪声背景下基于多目标优化的节点选择方法

为解决非高斯噪声背景下，基于贝叶斯Fisher信息矩阵和基于互信息的节点选择不一致的问题，该文提出一种基于多目标优化的节点选择方法。推导出节点噪声为混合高斯分布时的贝叶斯Fisher信息矩阵和互信息，将节点个数、选择的节点对应的Fisher信息矩阵和互信息共同作为优化的目标函数。提出利用基于分解的多目标优化方法寻找Pareto最优解，并采用与理想解相似的偏好排序技术(TOPSIS)从所有Pareto最优解中选择最终的节点选择方案。仿真实验结果表明，基于多目标优化的节点选择方法选择的节点具有更优更稳健的定位精度。

Sensor Selection Method Based on Multi-objective Optimal Optimization for Mixture Gaussian Noise

To overcome the flaw that the sensor selection methods based on either of Bayesian Fisher information matrix or mutual information could not provide coincident results, the multiple objective optimal technology is developed for sensor selection by minimizing the number of sensors, maximizing corresponding Bayesian Fisher information matrix and mutual information of the selected sensors. Then, the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) approach is proposed to find the candidate that can better trade off the cost and two performance metrics. Comparison results demonstrate that the proposed method can find a better sensor group, and ultimately, its overall localization performance is more stable and accurate.