Synthesis of an LC Zero Section for Quadruplet Transmission Zeros

In a classic paper by Guillemin,[ E. A. Guillemin, "New methods of driving-point and transfer impedance synthesis," Proc. of Symp. on Modern Network Synthesis, Polytechnic Inst. of Brooklyn, N. Y., vol. 5, p. 119; 1955.] the synthesis of a dissipationless LC "zero-section" filter which has quadruplet zeros of transmission was demonstrated. Guillemin's procedure involved the factorization of (1) below. In this paper an alternate process for the realization of such a zero section is presented. The computational processes involved in this method are simpler than those required in Guillemin's method because factorization of (1) is not required.