A Least Squares Solution for Use in the
Six-Port Measurement Technique
Abstract
Although based on the use of simple amplitude detectors, it
is possible to obtain complex values of reflection coefficient, via the
six-port technique, from the intersection of three circles in the complex
plane. In a typical case, the circle centers are determined primarily by the
six-port design and are nominally constant, while the radii are proportional
to the square root of the ratio of the output of three of the detectors to a
fourth one. As a practical matter, however, these circles will not intersect
in a point because of noise or other errors in the detectors.
This paper develops a procedure for choosing Gamma in this context. Moreover,
the question of what may be inferred about the system performance
from the extent of this intersection failure is briefly considered.
Reference
Glenn F. Engen,
"A least squares solution for use in the
six-port measurement technique,"
IEEE Transactions on Microwave Theory and Techniques,
vol. 28, no. 12, pp. 1473-1477, December 1980.
The complete article is available for download from the
publications page.
Frank Wiedmann
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