Analytical Derivations of the TDR Expressions of Lossy Transmission Lines with the Other End Perfectly Matched

Abstract

This paper gives the analytical derivations of the TDR expressions of lossy transmission lines with the other end perfectly matched. The accuracies of the expressions are verified by two numerical examples. The derivations in this paper can reveal the physical meaning of the TDR and its properties very clearly. And with some more efforts based on our work, the expressions obtained can be used in removing the interference of the conductor loss to the measured TDR.