A New System of Two-Terminal Synthesis

This paper describes methods of synthesizing prescribed two-terminal impedances, of the RLC sort. While these methods are not entirely general, when they do apply they lead to an economy in elements, relative to the Bott and Duffin method, without requiring the mutual inductances of the Brune method. Particular attention is paid to the even part of the impedance function. The even part determines the entire function uniquely, except for a possible added term representing the impedance of a network of reactances only. For purposes of network synthesis, the even part of the prescribed function is decomposed into a sum of parts, such that each part may be realized in a relatively simple way. The simplicity of the realization is achieved by suitably locating the zeros of the real parts of the partial impedances.