On a complex normalized scattering matrix and its application to broadband matching of multiport networks
✍ Scribed by Zonglian Fei; Wai-Kai Chen
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 746 KB
- Volume
- 320
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
The necessary and sufficient conditions that an n x n matrix be the scattering matrix of a lumped, lossless n-port normalizing to n non-Foster positive-real impedances are presented in matrix form in terms of coeficients of the Laurent series of the parameters. Also, a method is introducedfor constructing a generalized scattering matrix of a lossless reciprocal nport equalizerfrom the preassigned transducer power-gain characteristics and a set of n passive terminations.
The significance of this work is that it provides a meansfor testing the realizability of an n x n scattering matrix by dealing with the coejicients of the Laurent series expansions of the parameters. An example of a three-port network is given to show the procedurefor constructing a scattering matrix possessing the para-unitary property, and achieving the preassigned transducer power-gain characteristics when it is terminated in the given impedances.