Computer techniques for the frequency analysis of linear electrical networks

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Abstract
A detailed exposition is presented of a computer program for evaluating frequency response characteristics in arbitrary, linear, lumped, electrical networks. The program is based on Branin's "link-at-a-time" algorithm, which is adapted for frequency domain analysis and extended to networks containing nonreciprocal elements by exploiting the close relationship between Branin's work and the reinforcement technique of matrix inversion. The program is particularly effective for carrying out sensitivity studies which are often required in tolerance analyses, optimal network design techniques, and the development of network alignment procedures. The sensitivity capability of the program also forms the basis of a novel and effective method for computing group delay data from a nodal impedance matrix. Experimental and theoretical results are presented which demonstrate the superiority of the program to those based on more traditional techniques such as Gaussian elimination or Gauss-Jordan matrix inversion.

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