# Divider

Model ideal frequency-independent dividers (combiners) with S-parameters

Junctions

## Description

Use the Divider block to model power dividers (combiners) in a circuit envelope environment as an ideal s-parameter model.

## Dialog Box and Parameters

### Main Tab

Select component
• `T power divider`

The default option is `T power divider`. The s-parameter matrix for `T-power divider ` is :

$\left[\begin{array}{ccc}{s}_{11}& {s}_{21}& {s}_{31}\\ {s}_{21}& {s}_{22}& {s}_{32}\\ {s}_{31}& {s}_{32}& {s}_{33}\end{array}\right]$

where:

• s11 = (z23 –z1) / (z23 + z1)

• s22 = (z13 –z2) / (z13 + z2)

• s33 = (z12 –z3) / (z12 + z3)

• s21 = (1+ s11) * sqrt(z1 / z2)

• s31 = (1+ s11) * sqrt(z1 / z3)

• s32 = (1+ s22) * sqrt(z2 / z3)

• z12 = z1 * z2 / (z1 + z2)

• z13 = z1 * z3 / (z1 + z3)

• z23 = z2 * z3 / (z2 + z3)

• z1 = Z0(1), z2 = Z0(2), z3 = Z0(3)

• Reference Impedances: Z0 = [z1, z2, z3 ]

When you select this option, the following parameter is available:

• Reference impedance (Ohm)

Specify the reference impedances of T power divider as scalar or three-tuple. The default values are `50`.

• `Resistive power divider`

The s-parameter matrix for `Resistive power divider` is :

$\left[\begin{array}{ccc}0& 1/2& 1/2\\ 1/2& 0& 1/2\\ 1/2& 1/2& 0\end{array}\right]$

When you select this option, the following parameter is available:

• Reference impedance (Ohm)

Specify the reference impedances of Resistive power divider as scalar or three-tuple. The default values are `50`.

• `Wilkinson power divider`

The s-parameter matrix for `Wilkinson power divider` is:

$\left[\begin{array}{ccc}0& -j/\sqrt{2}& -j/\sqrt{2}\\ -j/\sqrt{2}& 0& 0\\ -j/\sqrt{2}& 0& 0\end{array}\right]$

When you select this option, the following parameter is available:

• Reference impedance (Ohm)

Specify the reference impedances of ```Wilkinson power divider```as scalar or three-tuple. The default values are `50`.

 Note:   For DC carrier (0 Hz) frequency, Wilkinson power divider is a zero matrix.
Ground and hide negative terminals

Select this option to internally ground and hide the negative terminals. Clear the option to expose the negative terminals. By exposing these terminals, you can connect them to other parts of your model.

By default, this option is selected.

## Examples

The example, Wireless Digital Video Broadcasting with RF Beamforming, uses ideal dividers as combiners in the Receive Antenna Array. This removes the need for Phase/Frequency offset compensation in the Baseband Processing Receive