Double broadband matching and the problem of reciprocal reactance 2n-port cascade decomposition. (English) Zbl 0546.94019
Summary: Let N, \(N_ 1\), \(N_ 2\) and \(N_ 3\) be prescribed reciprocal reactance 2n-ports. Then, under certain mild restrictions, this paper supplies answers to the following two related problems: \(P_ 1\). Find the necessary and sufficient conditions for the physical extractability of \(N_ 1\) from the front-end of N. \(P_ 2\). Given that \(N_ 2\) and \(N_ 3\) are individually physically extractable from the back and front-ends of N, respectively, find a set of sharp sufficient conditions for their simulations physical extractability from N. The criteria are formulated in terms of the associated scattering matrices and are reasonably simple to apply. Moreover, they also have a clear-cut network significance involving transmission zeros. To illustrate their use, a recent result for the design of non-degenerate double broadband-matching equalizers is generalized to a 2n-port setting.
Keywords:
double broadband matching; cascade decomposition; reciprocal reactance 2n-ports; associated scattering matricesReferences:
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