A Reformulation and Sensitivity Analysis of TRL
This article reformulates the thru-reflect-line (TRL) calibration algorithm based on the <inline-formula> <tex-math notation="LaTeX">{T} </tex-math></inline-formula>-matrix representation and further investigates the influence of non-ideal TRL standards on S-paramet...
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Published in | IEEE transactions on instrumentation and measurement Vol. 69; no. 7; pp. 5107 - 5115 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.07.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
Online Access | Get full text |
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Summary: | This article reformulates the thru-reflect-line (TRL) calibration algorithm based on the <inline-formula> <tex-math notation="LaTeX">{T} </tex-math></inline-formula>-matrix representation and further investigates the influence of non-ideal TRL standards on S-parameter measurements. To reformulate the TRL calibration algorithm, the <inline-formula> <tex-math notation="LaTeX">{T} </tex-math></inline-formula>-matrices of error boxes are constructed by the thru measurement, and only three wave ratios need to be solved with low calculation complexity. Furthermore, expressions representing the S-parameter deviations with respect to the non-ideal TRL standards are deduced in a simple and novel way. From the experiment, a good agreement between the reformulated and classical TRL calibration algorithms can be observed. In addition, the sensitivity coefficients of S-parameters are calculated and compared with the results obtained by the classical work, which proves the validity of the proposed method. |
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ISSN: | 0018-9456 1557-9662 |
DOI: | 10.1109/TIM.2019.2950825 |