Analysis and Modeling of Passive LC Filters Using Node Elimination Technique

Eliminating circuit nodes reduces the order of the circuit determinants and relaxes the computing memory requirement in order to extract circuit characteristics. However, node eliminations increase the number of components in the transformed circuit and can introduce errors in circuit transfer functions if critical components are omitted from the model. This paper shows how a filter node can be eliminated without introducing more components while preserving all filter characteristics including coupling factors among inductors, scattering parameters, voltage gain and node impedance transfer functions, impulse, step and transient responses.