DISTRIBUTED RC NETWORKS WITH RATIONAL TRANSFER FUNCTIONS,

A distributed RC circuit analogous to a continuously tapped transmission line can be made to have a rational short-circuit transfer admittance and one rational shortcircuit driving-point admittance. A subcircuit of the same structure has a rational open circuit transfer impedance and one rational open circuit driving-point impedance. Hence, rational transfer functions may be obtained while considering either generator impedance or load impedance. The functions have poles only along the negative real axis. Although the number of poles is arbitrary, only two may be chosen with complete freedom in a single unit. The residue of a pole in the shortcircuit transfer admittance is related to the corresponding residue of the rational driving-point short-circuit admittance. A wide class of transfer functions may be realized by placing one distributed circuit in parallel with the output of another distributed circuit. The loss and total capacity required are often the same order of magnitude as those for lumped circuits. Complex zeroes may readily be obtained with these circuits. In many cases active elements may be used to an advantage in the same manner as with lumped RC networks. Author