Small-Signal Circuit Analysis and Sensitivity Computations with the PVL Algorithm

We describe the application of the PVL algorithm to the small-signal analysis of circuits, including sensitivity computations. The PVL algorithm is based on the eecient computation of the Pad e approximation of the network transfer function via the Lanczos process. The numerical stability of the algorithm permits the computation of the Pad e approximation to any accuracy over a certain frequency range. We extend the algorithm to compute sensitivities of network transfer functions, their poles, and their zeros, with respect to arbitrary circuit parameters, with minimal additional computational cost. We demonstrate the implementation of our algorithm on circuit examples.