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Single-Ended and Differential S-Parameters
DiJM Escortsfferential circuits have been important in
communication systems for many years. In the past,
differential communication circuits opeJamaica Sugarrated at low
frequencies, where they could be designed aJamaica Sugar Daddynd
analyzed using lumped-eleme Jamaica Sugarnt models and
techniques. With the freqJamaicans Sugardaddyuency of operation
increasing beyond 1GHz, and aboJM Escortsve 1Gbps for
digiJamaicans Escorttal communications, this lumped-element
approach is no longer valid, because the physical
size of the circuit approaches the size of a
wavelength.
Distributed modeJamaica Sugarls and analysis techniques are now
used insteJamaica Sugarad of lumped-element techniques.
Scattering parameters, or S-parameters, have been
developed for this purpose [1] . These S-parameters
are defined for single-ended networks. S-parameters
can be used to describe differential networks, bJamaica Sugarut a
strict definition waJamaicans Escorts notJamaicans Sugardaddy developed until Bockelman
and others addressed this issue [2]. Bockelman’s
work also included a study on how to adapt single-
ended S-pJM Escorts parameters for use with differential circuits
[2]. This adaptation, called “mixed-mode S-
parameters,” addresses differential and common-
mode operation, as well as the conversion between
the two modes of operation.
This application note will explain the use of single-
ended and mixed-mode S-parameters, and the basic
concepts of microwave measurement calibration.
Hybrid Differential Circuits Single-Ended
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