A Hybrid De-Embedding Method for Low Loss and Reciprocal PCB Fixtures

This article presents a hybrid de-embedding method by combining the unitary condition of lossless networks and the impulse response curve truncation. A magnitude-symmetry formula is derived for reciprocal and low loss printed circuit board (PCB) fixtures. It gives the analytical relationship between
$S_{11}$
and
$S_{22}$
for asymmetric PCB fixtures. At the same time, the impulse response curve truncation is used to solve
$S_{11}$
. Based on above two methods, the number of fixture’s unknown
$S$
-parameters is reduced. The reasonableness of the magnitude-symmetry formula is verified by simulated fixtures, which are commonly used in radio frequency and microwave engineering measurements. The accuracy and feasibility of the proposed hybrid de-embedding method are also numerically and experimentally verified. Good
$S$
-parameters correlations of fixtures and devices under test (DUT) can be observed in all examples.