The paper investigates matchable range problems and Q-based design theory of Pi impedance matching networks. A method for determining impedance matching domains for any possible ranges of element values is presented. Boundary equations of matchable regions are formulated analytically and impedance realms are plotted with computers. The Q-based design method is thoroughly discussed from the viewpoint of power transmission. Element value determination formulas, the transducer power gain and harmonic power rejection, and transducer sensitivities to parasitic loss are explicitly expressed in terms of the two impedances and the loaded Q. Particularly actual power transmission relations taking the finite unloaded Q into account are accurately derived in terms of the loaded and unloaded Q. Various considerations of selection of the loaded Q are further discussed. Issues and techniques of handling complex impedance matching are also discussed.
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