e ermination OF the Transfer Function OF Electronic Circuits
Basil L. Cochrun, Arvin Grabel · 1973
OMINANT-pole techniques [l]-[3] have been used to approximate both the frequency and time-domain responses of linear active systems. Most of these techniques require that the coefficients of the characteristic polynomial be known in order to be applied. This paper describes a method for determining the coefficients of the characteristic polynomial without the need for evaluating the system determinant. In addition, the method allows the circuit designer to relate system performance to specific circuit elements and by means of dominant pole techniques to assess their effect on the circuit. For convenience, the low-pass case is developed. The results obtained are readily transformed to the highpass case by duality and frequency translation. The basic approach to the problem is to generate the characteristic polynomial of the form