Multiport <formula formulatype="inline"><tex Notation="TeX">$S$</tex> </formula>-Parameter and <formula formulatype="inline"><tex Notation="TeX">$T$</tex> </formula>-Parameter Conversion With Symmetry Extension


We propose a generalized <i>T</i> -matrix definition that facilitates the conversion between the <i>S</i>-parameter and <i>T</i>-parameter for multiport networks based on the well understood and mathematically simple two-port relations. This approach generalizes all multiport networks into two cases: balanced and unbalanced. Balanced networks have the same number of entrance and exit ports and are symmetric to the two-port network. Unbalanced networks generate a nonsquare <i>T</i> -matrix and do not have the same number of entrance and exit ports. Through careful selection of the <i>T</i> -matrix, this method extends two-port symmetry to multiport networks and provides an engineering implementable relationship between the <i>S</i>-parameter and <i>T</i>-parameter for multiport networks. This symmetry extension allows a practical means to cascade and de-embed such networks.

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@article{Frei2008MultiportF, title={Multiport \$S\$ -Parameter and \$T\$ -Parameter Conversion With Symmetry Extension}, author={Jorg Frei and Xiao-Ding Cai and Simon Muller}, journal={IEEE Transactions on Microwave Theory and Techniques}, year={2008}, volume={56}, pages={2493-2504} }