Realising the general two-terminal-pair network with independently prescribed transfer function and reflection coefficient

A method of realising an inductor capacitor 4 pole, when the transfer function and the reflection coefficient are given independently and simultaneously, is given in this theoretical paper which is based on the working parameter theory. The author develops a general theory for 2 and 4 pole networks with R, L and C elements. Five procedures are given using mainly ladder structures to realise a 4 pole starting from a prescribed input working driving-point impedance: (i) for RC elements with a minimum number of reactance elements; (ii) for RLC elements; (iii) for RLC elements with a minimum number of reactance elements, considering only inductor dissipation; (iv) for RLC elements considering both inductor and capacitor dissipation by approximation; (v) for RLC elements considering mainly the inductor dissipation. Five examples are given and a short bibliography.