Synthesis of Lossless Ladder Networkswith Simple Lumped Elements Connected Viacommensurate Transmission Lines

Abstract

An algorithm has been proposed, to synthesize low-pass, high-pass, band-pass and band-stop lossless ladder networks with simple lumped elements connected via commensurate transmission lines (Unit elements, UEs). First, the type of the element that will be extracted is determined from the given mixed-element network function. After obtaining element value, it is extracted, and the two-variable reflection function of the remaining mixed-element network is obtained. This process is repeated until extracting all the elements. For each network type, an example is included, to illustrate the implementation of the related algorithm.