Phase De-Embedding of Narrowband Coupled- Resonator Networks by Vector Fitting

Abstract

This paper introduces a simple and effective way to de-embed the constant phase loading and transmission line from the simulated or measured S-parameter data of a narrowband coupled-resonator network by vector fitting. The phase-corrected S-parameters can be converted to Y-parameters to prepare for rational function approximation and extraction of the coupling matrix for the purpose of computer-aided tuning. This method is applicable to many narrowband coupled-resonator networks including microwave bandpass filters and diplexers. Examples including a simulated triple-mode bandpass filter and a measured wire- <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${T}$ </tex-math></inline-formula> junction diplexer are given to demonstrate the effectiveness of the new technique.