介质圆柱体的无相微波成像:一种基于人工神经网络的方法

J. E. Fajardo, J. Galv'an, F. Vericat, C. M. Carlevaro, R. Irastorza
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引用次数: 12

摘要

提出了一种利用仅限幅值的微波信息反演无限圆柱二维参数(介电特性、位置和半径)的逆方法。为此,比较了两种不同的人工神经网络(ANN)拓扑;多层感知器(MLP)和卷积神经网络(CNN)。采用时域有限差分(FDTD)方法进行了多次仿真,以解决直接电磁问题,并为人工神经网络模型生成训练集、验证集和测试集。对于MLP和CNN,估计圆柱体位置和尺寸的平均误差分别高达(1.9 $\pm$ 3.3) mm和(0.2 $\pm$ 0.8) mm。对于MLP和CNN,估计圆柱体介电性能的平均百分比相对误差分别高达(6.5 $\pm$ 13.8) %和(0.0 $\pm$ 7.2) %。MLP模型的参数估计误差较低,而CNN模型的误差明显较低。使用三维仿真显示了一个验证示例。给出了均匀和非均匀圆柱体的测量实例,以证明所述方法的可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
PHASELESS MICROWAVE IMAGING OF DIELECTRIC CYLINDERS: AN ARTIFICIAL NEURAL NETWORKS-BASED APPROACH
An inverse method for parameters estimation of infinite cylinders (the dielectric properties, location, and radius) in two dimensions from amplitude-only microwave information is presented. To this end two different Artificial Neural Networks (ANN) topologies are compared; Multilayer Perceptron (MLP) and a Convolutional Neural Network (CNN). Several simulations employing the Finite Differences in Time Domain (FDTD) method are performed to solve the direct electromagnetic problem and generate training, validation, and test sets for the ANN models. The magnitude of the mean errors in estimating the position and size of the cylinder are up to (1.9 $\pm$ 3.3) mm and (0.2 $\pm$ 0.8) mm for the MLP and CNN, respectively. The magnitude of the mean percentage relative errors in estimating the dielectric properties of the cylinder are up to (6.5 $\pm$ 13.8) % and (0.0 $\pm$ 7.2) % for the MLP and CNN, respectively. The errors in the parameters estimation from the MLP model are low, however, significantly lower errors were obtained with the CNN model. A validation example is shown using a simulation in three dimensions. Measurement examples with homogeneous and heterogeneous cylinders are presented aiming to prove the feasibility of the described method.
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