Divider
Model ideal frequency-independent dividers or combiners with S-parameters
Libraries:
RF Blockset /
Circuit Envelope /
Junctions
Description
The Divider block models power dividers or combiners in a circuit envelope environment as an S-parameter model. In a power divider, the input power enters at a port, splits, and exits at different ports.
To use a power divider to model and simulate a 66 GHz QPSK RF transmit and receive system with a 32-element hybrid beamforming antenna, see the Transmit Subarrays section in the Modeling RF mmWave Transmitter with Hybrid Beamforming example.
Examples
Modeling RF mmWave Transmitter with Hybrid Beamforming
Model and simulate a 66 GHz QPSK RF transmit and receive system with a 32-element hybrid beamforming antenna.
Parameters
Select component — Divider type
T power divider
(default) | Resistive power divider
| Wilkinson power divider
| Tee H-plane (S33=0)
| Tee E-plane
Divider type, specified as:
T power divider
The S-parameter matrix for
T-power divider
is :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 ]
Resistive power divider
The S-parameter matrix for
Resistive power divider
is :When you select this option, the following parameter is available:
Wilkinson power divider
The S-parameter matrix for
Wilkinson power divider
is:Note
For DC carrier (0 Hz) frequency, Wilkinson power divider is a zero matrix.
Starting R2021a, port positions in the Divider block when you select the
Wilkinson power divider
component have changed. For more information, see Version History.
Tee H-plane (S33=0)
The
Tee H-plane (S33=0)
is symmetrical, lossless, and reciprocal. The S-parameter matrix is:Tee E-plane
The
Tee E-plane
is symmetrical, lossless, and reciprocal. The S-parameter matrix is:
Number of divider outports — Number of Wilkinson power divider outports
2
(default) | nonnegative integer in the range (1
,
65
]
Number of Wilkinson power divider outports, specified as a nonnegative
integer in the range (1
, 65
].
Dependencies
To enable this parameter, set Select Component to
Wilkinson power divider
.
Reference impedances (Ohm) — Reference impedance of divider
50
(default) | positive scalar | three-tuple vector
Reference impedance of divider, specified as a positive scalar or three-tuple vector.
Note
When the reference impedances of all the ports are not equal, the model inside the Divider block is normalized to 50 ohms.
Ground and hide negative terminals — Ground RF circuit terminals
on
(default) | off
Select this parameter to ground and hide the negative terminals. To expose the negative terminals, clear the parameter. By exposing these terminals, you can connect them to other parts of your model.
By default, this option is selected.
Version History
Introduced in R2014aR2022b: Model Wilkinson power divider with up to 65 ports
Use the Divider block to model a Wilkinson power divider with more than two and up to 65 outports. Use the Number of divider outports to set the number of outports.
R2021a: Port positions of Wilkinson power divider component in Divider block changed
The port positions in the Divider block when you select the
Wilkinson power divider
component have changed. Prior
to this release, Ports 1 and 3 were on the same side opposite that of Port 2. This
release, Ports 2 and 3 appear on one side together opposite the side of Port
1.
Existing models using the Divider block with the Wilkinson power
divider
component might need to be updated to ensure that there
are no broken connections. Use the RF Blockset check in the
Simulink® Upgrade Advisor to identify and rewire the
broken port connections in your existing models. For more information, see Check model for RF Blockset Divider blocks using Wilkinson power divider component with broken connections.
See Also
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