A General RLC Synthesis Procedure

Any physically realizable RLC transfer function-impedance, admittance, or dimensionless ratio-can be realized within a multiplicative constant by the synthesis procedures presented in this paper. The form of network achieved is a lattice with these significant features: (a) it may have any desirable termination; (b) it contains no mutual inductance; (c) every inductance in the network appears with an associated series resistance so that, in building the network, low-Q coils may be used. In addition, the lattice arms are of so simple a form relative to each other that many of the achieved lattices are amenable to reduction to unbalanced networks. Further, in case of a transfer admittance, reduction can be achieved with the use at most of real transformers i.e., transformers with winding resistance, finite magnetizing inductance, and a coupling coefficient smaller than one.