SIMPLIFIED IMPEDANCE BROAD-BAND MATCHING BY THE IMAGE PARAMETER METHOD - THE RC CASE

The image parameter theory is now considered as outdated for filter de sign owing to the existence of very efficient optimization procedures for the effective behaviour of filters. Nevertheless, it allows one to exhibit very simple relations between the bandwidth and the values of the components. Hence it is ideally suited for the problem of impedan ce broadband matching where the bandwidth and some components are spec ified data. It is shown that it flows to make a straightforward distin ction between well- and ill-conditioned problems. In the first case th e problem is reduced to a one-dimensional optimization and an image pa rameter design provides very easily an equalizer optimal for all pract ical purposes. In the second case the values of the image parameter de sign provides excellent initial values for an optimization process. Th e method is applied here to the simplest problem, the RC load. In a se parate paper it will be shown that it is easily extended to more compl icated loads and the double-matching problem.