A generalized TRL algorithm for s-parameter de-embedding

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Abstract

At FNAL bench measurements of the longitudinal impedance of various beamline components have been performed using stretched wire methods. The basic approach is to use a network analyzer (NWA) to measure the transmission and reflection characteristics (s-parameters) of the beam line component. It is then possible to recover the effective longitudinal impedance from the s-parameters. Several NWA calibration procedures have been implemented in an effort to improve the accuracy of these measurements. These procedures are mathematical techniques for extracting the s-parameters of a test device from external NWA measurements which include the effect of measurement fixtures. The TRL algorithm has proven to be the most effective of these techniques. This method has the advantage of properly accounting for the nonideal calibration standards used in the NWA measurements.

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