A Tensor-Based Extension for the Multi-Line TRL Calibration

The multi-line TRL (M-TRL) method is an accurate calibration method for S-parameter measurements that is based on the measurement of multiple transmission lines and their subsequent pairing. In this paper, an alternative is proposed for the line pairing process that underspans the M-TRL calibration. A tensor decomposition is used to process the measurements of all lines simultaneously and avoid the selection of a reference line as in the classical approach. Numerical and experimental results confirm the accuracy, the statistical efficiency, and the robustness of the proposed method.