A method of calculating the transfer functions of ladder networks

From the Kirchhoff equations applied to a ladder network, recurrence equations are derived for calculating the voltages and currents in terms of the output voltage and current; from these, another set of equations is obtained for working from the input end of the network. It is shown that either set of equations is particularly suitable for the numerical calculation of transfer functions. A few general formulae are included for the voltage-transfer ratio of an RC ladder network.