Optimal transfer-function synthesis of RC ladders-Lumped and distributed

The following optimal synthesis problems for lumped and distributed RC ladder networks are solved explicitly: 1) transfer admittance synthesis with minimum total shunt capacitance; 2) transfer impedance synthesis with minimum total series resistance; and 3) opencircuit voltage transfer-function synthesis with minimum total resistance-total capacitance product. In all three cases, an explicit expression is given for the corresponding minimum value of the network attribute being considered, in terms of the specified transfer function.