Characteristics of Single- and Multiple-Frequency Impedance Matching Networks

The simplest network for matching a load resistance R_L to a source resistance R_s at a single frequency is analyzed to find an expression for the matching bandwidth with a specified tolerance on the reflection coefficient. The results are used to find the characteristics of dual- and triple-frequency impedance matching networks, designed by applying frequency transformation to the single-frequency network. Finally, comments are made about some general features of multiple-frequency matching networks.