基于人工神经网络的复杂介质中波的传播不确定性分析方法  

An Uncertainty Analysis Method of Wave Propagation in Complex Media Based on Artificial Neural Network

作　　者：程曦 张志勇[1] CHENG Xi;ZHANG Zhiyong(Institute of Computer and Information Engineering,XmJiang Agricultural University,Urumqi 830052,China)

机构地区：[1]新疆农业大学计算机与信息工程学院,乌鲁木齐830052

出　　处：《电子与信息学报》2021年第12期3662-3670,共9页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(61701427)。

摘　　要：土壤在物理系统的工作频率范围内可能表现出较强的色散性,色散物质的不确定参数在波传播的仿真结果中引入了不确定性。在考虑这些仿真结果的可接受性时,量化仿真结果中的不确定性至关重要。针对传统不确定性分析法计算效率低、运算量大的问题,该文以探地雷达建模仿真中的不确定性分析为例,提出一种基于人工神经网络的不确定性分析模型,阐述了模型的构建过程,及克服过拟合问题的策略。作为探地雷达全波仿真的替代模型能够预测仿真结果,进而得到仿真结果的统计信息,如均值、标准差。经比较,在相同的数值模型、不确定性输入参数个数,以及参数变化范围为10%的前提条件下,对任意一组输入参数,输出得到1000组结果时,该方法所得预测结果统计特性与执行全波仿真所得具有较好的一致性,且显著降低运算量,计算时间效率提升79.82%。Soil materials can exhibit strongly dispersive properties in the operating frequency range of a physical system,and the uncertain parameters of the dispersive materials introduce uncertainties in the simulation result of propagating waves.It is essential to quantify the uncertainty in the simulation result when the acceptability of these calculation results is considered.To avoid performing thousands of full-wave simulations,an efficient surrogate model based on ANN(Artificial Neural Network)is proposed,to imitate the concerned Ground Penetrating Radar(GPR)calculation.Meanwhile,the process of constructing the surrogate model and the strategy to overcome the overfitting problem are presented in details.As a surrogate model for full-wave simulation of ground penetrating radar,it can predict the simulation result,and then obtain the statistical information of the simulation result,such as mean value and standard deviation.After comparison,under the same conditions that the same numerical model,the number of uncertain input parameters are same,and the variation in the parameter is 10%,the statistical properties of the prediction results obtained by the proposed method are in good agreement with the results obtained by performing a thousand full-wave simulations.It also significantly reduces the amount of calculations,and the calculation time efficiency is increased by 79.82%.

关 键 词：探地雷达 不确定性分析模型 人工神经网络 

分 类 号：TN959[电子电信—信号与信息处理] O441.4[电子电信—信息与通信工程]