Simultaneous Scatterer Shape Estimation and Partial Aperture Far-Field Pattern Denoising  

作　　者：Yaakov Olshansky Eli Turkel 

机构地区：[1]Applied Mathematics,Tel-Aviv University,Israel

出　　处：《Communications in Computational Physics》2012年第2期271-284,共14页计算物理通讯（英文）

摘　　要：We study the inverse problem of recovering the scatterer shape from the far-field pattern(FFP)in the presence of noise.Furthermore,only a discrete partial aperture is usually known.This problem is ill-posed and is frequently addressed using regularization.Instead,we propose to use a direct approach denoising the FFP using a filtering technique.The effectiveness of the technique is studied on a scatterer with the shape of the ellipse with a tower.The forward scattering problem is solved using the finite element method(FEM).The numerical FFP is additionally corrupted by Gaussian noise.The shape parameters are found based on a least-square error estimator.If eu¥is a perturbation of the FFP then we attempt to find G,the scatterer shape,which minimizes k u¥−eu¥k using the conjugate gradient method for the denoised FFP.

关 键 词：Scattering inverse problem far field pattern 

分 类 号：O17[理学—数学]