A general form for the extra element theorem

In this brief we prove that both forms of Middlebrook's formula for the transfer impedance of a two-port can be seen as particular instances of a more general expression involving a generic reference immittance, not necessarily an open-circuit or a short-circuit. This generalized formula holds under minimal regularity assumptions.

Publication Details

Journal
UPM Digital Archive (Technical University of Madrid)
Published
2025-04-01
Primary Topic
Microwave and Dielectric Measurement Techniques
Type
article
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article

A general form for the extra element theorem

UPM Digital Archive (Technical University of Madrid)
Microwave and Dielectric Measurement Techniques
article

A general form for the extra element theorem

article en

Abstract

In this brief we prove that both forms of Middlebrook's formula for the transfer impedance of a two-port can be seen as particular instances of a more general expression involving a generic reference immittance, not necessarily an open-circuit or a short-circuit. This generalized formula holds under minimal regularity assumptions.

UPM Digital Archive (Technical University of Madrid)
Openalex Percentile: Top 53%
Microwave and Dielectric Measurement Techniques
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A general form for the extra element theorem · UPM Digital Archive (Technical University of Madrid) (2025) | TGRS Research Map | TGRS