Computationally efficient estimation of frequency response and driving point impedances in wide-band analog amplifiers

Abstract

An alternative to traditional dominant and lumped-pole mathematical models of a linear analog circuit is proposed for estimation and sensitivity analysis of bandwidth, phase angle, and driving point impedances in wide-band signal processors. The proposed mathematical model, which accounts for transmission zeros and dominant complex pole pairs, is accurate to errors that are usually less than 15%, regardless of the relative densities of poles and zeros in the complex frequency plane. Although practical implementation of the model requires a personal computer or workstation, the results are computationally efficient since estimates of I/O frequency and phase responses, as well as the frequency response of driving point impedance at any circuit port, derive from only one solution of the circuit equilibrium equations. These results are design-oriented in that the realistic effects on high-frequency performance of potentially large uncertainties in any circuit or model parameter are accurately revealed. >