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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Determination of the Complex Residual Error Parameters of a Calibrated One-Port Vector Network Analyzer
Author(s): G. Wübbeler, C. Elster, T. Reichel and R. Judaschke
Journal: IEEE Transactions on Instrumentation and Measurement
Year: 2009
Volume: 58
Issue: 9
Pages: 3238--3244
DOI: 10.1109/TIM.2009.2017170
ISSN: 0018-9456
Web URL: http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=5175350
Keywords: Calibration,calibration,complex residual error parameter determination,complex-valued residual directivity,cross-ratio method,data analysis scheme,high-precision airline,linear prediction,low-pass filtering,low-pass filters,network analysers,one-port vector network analyzer,residual error parameter,second-order correction,single-reflection measurement,vector network analyzer (VNA),verification
Tags: 8.42
Abstract: A novel approach for the determination of the complex residual error parameters of a calibrated one-port vector network analyzer (VNA) is proposed. The method is based on a single-reflection measurement employing a high-precision airline terminated by a short. The complex-valued residual directivity and source match are extracted over the entire measured frequency range by applying a sophisticated data analysis scheme utilizing low-pass filtering and linear prediction. By including an additional reflection measurement of the utilized short, the method allows the residual reflection tracking to be evaluated. Based on numerical simulations, advisable settings of method parameters are determined. In addition to the verification of the VNA calibration, the complex residual error parameters can be used for a second-order correction of the measured data. The significant enhancement of accuracy, which can be achieved this way, is demonstrated for standard calibrations by comparing the second-order corrected reflection data with results obtained from the well-established cross-ratio (quarter-wave) method.

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