Over-determined offset short calibration of a VNA

Electromagnetic modeling of coaxial 1:85 mm and 1:0 mm standards for Vector Network Analyzer (VNA) calibration shows only limited accuracy. The approach presented in this paper can overcome this accuracy limitation. Instead of handing over the standardspsila S-parameters to the calibration algorithm, parameterized models of the standards are used as input into the calibration algorithm. The technique is demonstrated with an offset short calibration where the unknown phase constant of the shortpsilas parameterized model is estimated with the calibration algorithm. No assumptions on the frequency dependency of the phase constant are needed. Further on we describe the best constellation of the offset shortspsila reflection coefficients in the Smith chart when calibrating a one-port.