Some Simplification for Analysis of Linear Circuits

Any linear, passive, or active two-terminal pair network is describable in terms of six, interrelated "characteristic polynomials." A method for finding them is presented which requires less labor than is usually involved in finding a set of the conventional circuit parameters. Examples are given. Having found the characteristic polynomials, all of the conventional parameters, such as the open-circuit impedances, can be written down simply as ratios of the polynomials. Methods are discussed for finding the characteristic polynomials for interconnected networks from those of their component networks. Such calculations utilizing all six polynomials save labor over conventional methods by introducing additional information at the outset and by eliminating redundant factors.