Determination of the impedance matching domain of passive LC ladder networks: Theory and implementation

Impedance matching domain problems of tunable matching networks are described in this paper. A method for determining matchable impedance regions of passive LC ladder networks with any component value ranges is proposed. Matching domains of the most popular II, T and L networks whose component value ranges are arbitrary are determined both analytically and graphically. Computer-aided domain plotting is discussed and various examples are presented. The applications of impedance matching domain problems are also analysed. In the Appendix general mathematical results of addition and inversion impedance transformations involved in the approach are formulated.