A Unified Approach to Two-Terminal Network Synthesis

The problem of two-terminal immittance function realization is considered in terms of the reflection coefficient. A conceptually basic method of synthesis is developed which has important implications in exact and approximate synthesis techniques. Consideration of the practical shortcomings of this method lead directly to the standard methods of exact synthesis which are demonstrated to be all applications of the Schwarz lemma. Among the methods considered are those of: Foster, Cauer, Miyata, Brune, Bott-Duffin, Fialkow-Gerst, and Darlington.