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

Technical Background<br />

Technical Background<br />

A two port network is completely presented by its Z, Y, h or S matrix.<br />

As an example, consider the impedance Z matrix:<br />

It is clear that this matrix relates the currents and voltages at the terminals of a given block:<br />

An equivalent presentation is:<br />

In this case, we use the S matrix or scattering parameters. a 1 and b 1 present the normalized<br />

incident and reflected waves at port 1. a 2 and b 2 present the corresponding waves at port 2.<br />

There are direct relationships between a 1 , b 1 , a 2 , b 2 and the corresponding I 1 , V 1 , I 2 , V 2 .<br />

In the case of a two port network, the I and V as a function of a and b is given by the following:<br />

For the same case, a and b as a function of I and V is given by the following:<br />

692<br />

Eldo® User's Manual, 15.3

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