Accession Number : AD0254639

Title :   STABILITY OF LINEAR NONRECIPROCAL N-PORTS

Corporate Author : POLYTECHNIC INST OF BROOKLYN NY MICROWAVE RESEARCH INST

Personal Author(s) : KU, WALTER

Report Date : 01 DEC 1960

Pagination or Media Count : 1

Abstract : A nonreciprocal n-port is defined to be st ble if its port currents are zero under all passive terminations. Alternately it can be stated that the n-port is stable if the real part of its driving-point impedances at each of the ports is positive when all the other (n-1) ports are terminated in arbitrary passive impedances. The two equivalent statements of the stability criterion suggest two approaches to study the stability of the nonreciprocal n-port network. The essence of the first approach is to study the stability of the prescribed nonreciprocal n-port 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 n x n impedance matrix in the form of a matrix of Jacobi. The symmetrization scheme used can be considered as a generalization of the nonreciprocal 2-port case. The second approach uses the impedance transformation of the n-port to apply the driving-point impedance stability criterion. For a nonreciprocal 3-port, the envelope of the transformation region can be obtained. Furthermore, its stability can be tested using an interative procedure of the bilinear transformation. (Author)

Descriptors :   *CIRCUITS, *ELECTRICAL NETWORKS, DETERMINANTS(MATHEMATICS), ELECTRICAL IMPEDANCE, MATHEMATICAL ANALYSIS, MATRICES(MATHEMATICS), STABILITY.

Distribution Statement : APPROVED FOR PUBLIC RELEASE