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. © 1972, IEEE. All rights reserved.
E. R. Fowler and R. Yarlagadda, "A State-Space Approach To RLCT Two-Port Transfer-Function Synthesis," IEEE Transactions on Circuit Theory, vol. 19, no. 1, pp. 15 - 20, Institute of Electrical and Electronics Engineers, Jan 1972.
The definitive version is available at https://doi.org/10.1109/TCT.1972.1083388
Electrical and Computer Engineering
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01 Jan 1972