Iterative reweighted l₁ norm deconvolution for localization of mechanical deformation on transmission lines

In order to monitor the textile surface deformation, a measurement system based on FMCW radar principle is presented in this paper. By attaching a sensing transmission line on an arbitrary surface, its real time state will give influence back to the impedance profile of the sensing cable. Here we study the influence of a special mechanical deformation:bending. In the presence of multiple spaced close bends on the transmission line, the traditional high resolution spectral estimation methods are however not able to provide correct results. Via observation and analysis of the experimental data, we model an equivalent impulse response for the single bend. Based on that, we propose an iterative reweighted l1 norm deconvolution technique to locate the bend center on the transmission line, which guarantees a sparse structure. The experiment presents good detection results.