Abstract

Sonnet <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">®</sup> can synthesize compact lumped models based on electromagnetic analysis results. Synthesis equations have been derived for 662 two-terminal lumped RLC networks. For a given electromagnetic analysis derived impedance or admittance frequency characteristic, each of the 662 two-terminal networks is synthesized based on data at only a few frequencies. Then, of all the synthesized networks, the network which best matches the frequency characteristic at non-synthesis frequencies is selected. This means that for a 2-port Pi-network, which uses three two-terminal networks, the synthesis solution space includes over 300 million possible topologies. In addition, the resulting compact lumped models can be parameterized. A parameterized lumped model for the input impedance of a planer microstrip dipole illustrates the technique.

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