Finding poles and zeros in an analog circuit directly from its conductance matrix using eigenvalues

The article presents a state space approach to identify and extract poles and zeros in an RC circuit. The results obtained are shown to match with circuit simulation (WinSpice). A new procedure is also developed that allows construction of the state matrix A directly from the circuit inspections. This is proven to be a very efficient technique for identifying the state matrix A without going through a traditional nodal analysis. As shown, the matrix A is constructed by making specific measurements on the circuit itself, or by simulating solely the resistive circuit. Finally, a new method is presented, through which the zeros of a transfer function are first converted into poles and then the poles are extracted through the circuit eigenvalues. In addition, a new Modified Nodal Procedure (MNP) is presented in the Appendix that allows circuits with all types of independent and controlled sources. It shows how the presence of these sources are incorporated into the conductance matrix, providing a unified nodal (branch) solution to the circuit problem.