UA method of determining the terminal impedances and transfer functions of general multimesh ladder networks containing two kinds of elements only

Abstract

A technique is presented for finding the input impedance (Z_i), output impedance (Z_o), and the transfer function (13) of general multimesh ladder networks containing two kinds of elements only, viz., resistance and capacitance or resistance and inductance or inductance and capacitance. Each of the above functions is expressed as a ratio of two polynomials in p^j where p is the complex frequency and j=1, -1, 2 or - 2. The coefficients of powers of p^j in one of the polynomials are obtained by following an empirical procedure; the coefficients of the other polynomial are derived from those of the first by using a simple formula.