Realization of the all-pole third-order transfer function

Realization possibilities of the all-pole third-order transfer functions are discussed. For this purpose, the ladder network with a controlled voltage source in any shunt branch is used. The voltage source is controlled by the shunt branch voltage. The transfer functions are expressed with cumulants. Because of the high degree of symmetry, there are the rules for cumulant development. In this paper, the controlled voltage source with the controlling voltage placed in the shunt branch behind the source is considered. In this case, the transfer function contains only poles. The realization of the all-pole third-order transfer function is given in an example. The transfer function stability is analyzed using the Routh-Hurwitz criterion for the third degree polynomials.