Equivalence in sensitivity calculation between direct differentiation and the method based on Tellegen's theorem
Abstract
The concept of an adjoint network together with Tellegen's theorem was extensively used in deriving network sensitivity formulas both in analog circuits and digital filters. However, a direct differentiation of the network or signalflow graph equations leads exactly to the same algorithm. The equivalence between the two methods is shown, and simultaneously the unnecessary complexity of the derivation of the sensitivity formulas, when using Tellegen's theorem and the adjoint network, is emphasized.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1976
 Bibcode:
 1976STIN...7630455V
 Keywords:

 Network Analysis;
 Network Synthesis;
 Sensitivity;
 Algorithms;
 Analog Circuits;
 Digital Filters;
 Electrical Impedance;
 Signal Flow Graphs;
 Electronics and Electrical Engineering