A State-Space Approach to RLCT Two-Port Transfer-Function Synthesis

This paper presents an interesting procedure for the synthesis of an
RLCT
two-part transfer function. An
RLC
ladder, consisting of
n
reactive elements and two resistors, is derived by using a tridiagonal matrix developed by Navot. The entries in this matrix are expressed in terms of the element values of the ladder network. Two voltage drivers are introduced into the ladder network to obtain a desired short-circuit transfer-admittance function numerator degree, using the classical theorems on transmission zeros. If the numerator degree of the transfer function is
i (i < n)
, then, in general,
(i)
ladder networks need to be derived. The final network, corresponding to this transfer function, is obtained by paralleling the ladder networks (with transformers if necessary). Extensions to general short-circuit transfer admittance, open-circuit transfer impedance, and voltage transfer functions are briefly discussed.