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A Bound on the Scattering Parameters of Unconditionally Stable N-Ports | IEEE Journals & Magazine | IEEE Xplore

A Bound on the Scattering Parameters of Unconditionally Stable N-Ports


Abstract:

Unconditionally stable 2-ports exhibit the peculiar property of mapping regions in the passive termination plane into smaller regions in the input plane. Such a ‘contract...Show More

Abstract:

Unconditionally stable 2-ports exhibit the peculiar property of mapping regions in the passive termination plane into smaller regions in the input plane. Such a ‘contractive’ behavior is observed also when the number of ports, N , is larger than two, provided the notion of output region is appropriately adjusted. Based on this premise, it is shown that the magnitudes of the scattering parameters of an unconditionally stable N -port are bounded by a simple inequality. This necessary condition generalizes similar conditions which are already known to be valid for passive, reciprocal N -ports, on the one hand, and for generic unconditionally stable 2-ports, on the other.
Page(s): 855 - 859
Date of Publication: 07 November 2022

ISSN Information:


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