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Model ideal frequency-independent dividers or combiners with S-parameters

  • Library:
  • RF Blockset / Circuit Envelope / Junctions

  • Divider block


The Divider block models power dividers or combiners in a Circuit Envelope environment as a S-parameter model. For power dividers, the input power enters at a port, splits, and exits at other ports.

To understand how power dividers are used to model and simulate 66 GHz QPSK RF transmit and receive system with a 32-element hybrid beamforming antenna, see Transmit Subarrays section in Modeling RF mmWave Transmitter with Hybrid Beamforming example.


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Divider type, specified as:

  • T power divider

    The S-parameter matrix for T-power divider is :



    • 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:



    • 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 Compatibility Considerations.

  • 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:


Reference impedance of divider, specified as a positive scalar or three-tuple vector.

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 R2014a

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Behavior changed in R2021a