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Figure (3.18) shows a network with its known [Z] parameters. It requires conversion to the [ABCD] parameters. The [ABCD] and [Z] parameters of the network are summarized below:

(3.2.1)

(3.2.2)

Figure 3.18 Network for Z‐parameter.

The current (I₂) entering the port‐2 is taken positively. However, the Z‐parameter is defined in Fig (3.18) for the output current leaving the port. In this case, I₂ is negative. Equation (3.2.2) is rearranged to get the port voltage and current V₁ and I₁ at the port‐1 in terms of the V₂ and I₂ at the port‐2:

(3.2.3)

On comparing equations (3.2.1) and (3.2.3), the following conversion expressions are obtained:

(3.2.4)

Likewise, the relations between [Y] and [ABCD] parameters are obtained:

(3.2.5)

A complete set of the conversion table of parameters is available in textbooks [B.1, B.5, B.7].