Topological Considerations in the Realization of Resistive n-Port Networks
Israel Cederbaum · IRE Transactions on Circuit Theory · 1961
The topological implications of irreducibility of the admittance or impedance matrix of an n-port network are studied. Special attention is given to the cases when in(n - 1)rows of such a matrix of ordernthe main diagonal elements are equal to the absolute values of some off-diagonal elements. It is shown that the conditions of realizability of aYorZmatrix of this type reduce to the known conditions of realizability by means of a network with(n + 1)vertices or exactly n independent circuits. Some examples show realizableZmatrices which cannot be realized asYmatrices and vice versa. Other examples give nonrealizable, paramountYandZmatrices showing that paramountcy is not a sufficient condition for realizability.