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Divider

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

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  • RF Blockset / Circuit Envelope / Junctions

  • Divider block

Description

TheDividerblock 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, seeTransmit Subarrays部分Modeling RF mmWave Transmitter with Hybrid Beamformingexample.

Parameters

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Divider type, specified as:

  • T power divider

    The S-parameter matrix forT-power divideris :

    [ s 11 s 21 s 31 s 21 s 22 s 32 s 31 s 32 s 33 ]

    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 forResistive power divideris :

    [ 0 1 / 2 1 / 2 1 / 2 0 1 / 2 1 / 2 1 / 2 0 ]

    当您选择此选项,following parameter is available:

  • Wilkinson power divider

    The S-parameter matrix forWilkinson power divideris:

    [ 0 - j / 2 - j / 2 - j / 2 0 0 - j / 2 0 0 ]

    Note

    • For DC carrier (0 Hz) frequency, Wilkinson power divider is a zero matrix.

    • R2021a开始,port positions in the Divider block when you select theWilkinson power dividercomponent have changed. For more information, seeCompatibility Considerations.

  • Tee H-plane (S33=0)

    TheTee H-plane (S33=0)is symmetrical, lossless, and reciprocal. The S-parameter matrix is:

    ( − 1 1 2 1 − 1 2 2 2 0 ) 2

  • Tee E-plane

    TheTee E-planeis symmetrical, lossless, and reciprocal. The S-parameter matrix is:

    ( 1 1 2 1 1 − 2 2 − 2 0 ) 2

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.

Model Examples

Modeling RF mmWave Transmitter with Hybrid Beamforming

Modeling RF mmWave Transmitter with Hybrid Beamforming

Illustrates a methodology for system-level modeling and simulation of a 66 GHz QPSK RF transmit and receive system with a 32-element hybrid beamforming antenna. The system includes RF imperfections, transmit array radiation effects, a narrowband receive array and a baseband receiver with corrections for system impairments and message decoding. The antenna beamforming direction is defined using azimuth and elevation angles and it is estimated in the RF receive antenna using a Root Music DOA algorithm.
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Version History

Introduced in R2014a

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Behavior changed in R2021a

See Also

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