𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability of linear active nonreciprocal N-ports

✍ Scribed by Walter H. Ku


Book ID
103082629
Publisher
Elsevier Science
Year
1963
Tongue
English
Weight
751 KB
Volume
276
Category
Article
ISSN
0016-0032

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✦ Synopsis


A linear active nonreciprocal n-port is defined to be stable if the port currents are zero under all passive terminations. In this paper the stability of the prescribed nonreciprocal n-port is ascertained by finding a reciprocal n-port having identical stability characterizations. Compact stability criteria have been obtained for a general class of nonreciprocal n-port with its prescribed nXn impedance matrix in the tridiagonal form of a matrix of Jacobi.

The necessary and sufficient condition for the stability of an n-port can also be formulated in terms of its driving-point impedance at each of its ports when all the other (n --1) ports are terminated in arbitrary passive impedances. By using the impedance transformation property of the linear n-port and an iterative procedure of the bilinear transformation, stability criterion for a general nonreciprocal n-port can be obtained.


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