Single Data Set Calibration and Imaging with Uncooperative Electromagnetic Inversion Systems

Working with a multi-static grain-bin Electromagnetic Imaging (EMI) system, we propose a novel calibration procedure where we calibrate out the measurement system effects and image on a single set of S-parameters. Unlike most EMI systems, which require two measurements, only one set of S parameters are used for both calibration and imaging. The procedure relies on performing a parametric inversion to estimate the bulk contents of the grain bin, followed by an optimization to obtain per-channel calibration coefficients. The core assumption of the calibration procedure is that cross-talk between channels is small enough to ignore. A proof-of-concept of the calibration and imaging procedure is given with a simple synthetic example of an existing grain bin. The synthetic example shows that under highly favorable assumptions the single-data set procedure can give results of similar quality to the traditional (two data set based) calibration and imaging procedure.