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Working with S, Y, Z Parameters<br />

Implementation Issues<br />

In general, an n-port has a 2n x 2n mixed-mode S parameter matrix of the following form:<br />

Implementation Issues<br />

Eldo uses three methods to simulate an S-model given by S, Y, or Z parameters. These methods<br />

are briefly described below:<br />

• Complex Pole Fitting (CPF) technique is a method based on complex-pole fitting of the<br />

original dependence. During an initial “fitting” stage, the model’s given dependence is<br />

represented as a sum of simple first-order components, each one defined by its complex<br />

pole and residue. The result of fitting is re-usable; once generated, the list of poles and<br />

residues is stored in a *.pls file and can be used repeatedly for simulations without the<br />

need to re-fit. This file has the same name and location as the original data (Touchstone)<br />

file.<br />

The representation of frequency dependence created by fitting enables fast and accurate<br />

transient simulation of the S-model. Simulation progresses linearly in time, using an<br />

effective, recursive, convolution-based algorithm. Although poles/residues can be used<br />

to build an equivalent circuit, this is not needed or recommended, for performance<br />

Eldo® User's Manual, 15.3 695

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