RLC Lattice Networks

A method is presented for the realization of a general transfer impedance as an open-circuited lattice. The method is a simple one based on a partial-fraction expansion of the given function. No restriction other than that of physical realizability is placed on the function to be realized; thus both minimum-phase and nonminimum-phase functions are realizable by this method. A part of the method allows control over the Q's of the coils used in the final network. The achieved lattice has the significant features of requiring no mutual inductance and no perfect coils, that is, every inductance appears with an associated series resistance so that in building the network low-Q coils may be used.