The Weighting Algorithms for the Landweber Method in Electromagnetic Tomography

Abstract

Due to ill-posed of the image reconstruction in Electromagnetic tomography (EMT), the condition number of the sensitivity matrix is high and the reconstructed results are sensitive to the measurement errors. In this paper, two weighting matrices are proposed to improve the condition number and two modified Landweber methods are derived. Numerical simulations demonstrate the feasibility of the modified methods.

Characteristics of Transmission Radio Waves in Undulating Coal Seams and a Topographic Correction Method For Its Tomography

“…For complex coal mining faces, the ray tracing-based radio waves propagation (RTRWP) law can effectively describe the radio wave propagation environment (Zhao et al, 2013). In terms of imaging algorithms, an improved Land Weber method was derived by improving the condition number of the weighting matrix and introducing new L1 norm and the objective function of the regularization term, which has better performance in typical modes and improves the space resolution (Han et al, 2018;Liu et al 2019).…”