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Mathematical Balun in Measurement of Mix-mode S-parameters of Balanced-component with Single-ended

Wen Xiaoyu Zhao Yongjiu (School of Electro-Mechanical Engineering,Xidian University,Xi'an 710071,China)  
Traditional single-ended vector network analyzers (VNA) cannot directly obtain the mix- mode S-parameters of balanced devices.Mathematical balun is a mathematical method for mix-mode S pa- rameter acquiring.In the practical measurement of raw data,each terminal of differential components is treated as a ground-referenced imbalanced port,so the traditional VNA can be used to obtain multi-port imbalanced S parameters.Then the mix-mode S-parameters of balanced component can be calculated though mathemati- cal balun method without the need of Physical balun.The fundamentals of mathematical balun are presented, and the relation between the mix-mode S parameters and measured imbalanced multi-port S parameters is de- rived.A dual directional coupler is used as an example and the calculated mix-mode S parameters agree very well with that of practical measurement.
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