Distributed RC Networks with Rational y Parameters Having Prescribed Poles

In this paper the work of Heizer is generalized to include arbitrary pole locations of
y
parameters in the closed lefthalf
s
plane. Rational parameters of a distributed
RC
network are developed from the distributed-source point of view. Conditions for the distributed
RC
network to have rational parameters are obtained. Then, based on these conditions and assuming the desired poles of the circuit parameters, the unique class of capacitance cut functions that can support such poles has been found. Finally, rational
y
parameters with real, imaginary, or complex poles are derived. A discussion on the physical construction of the network is also given.