# rfckt.hybrid

Hybrid connected network

## Description

Use the hybrid object to represent hybrid connected networks of linear RF objects characterized by the components that make up the network.

## Creation

### Description

h = rfckt.hybrid returns a hybrid connected network object whose properties all have their default values.

example

h = rfckt.hybrid('Ckts',value) returns a cascaded network with elements specified in the name-value pair property Ckts.

## Properties

expand all

Computed S-parameters, noise figure, OIP3, and group delay values, specified as an rfdata.data object. For more information, see Algorithms.

Data Types: function_handle

Circuit objects in network, specified as a cell array of object handles. All circuits must be 2-port. By default, this property is empty.

Data Types: char

Object name, specified as a 1-by-N character array.

Data Types: char

Number of ports, specified as a positive integer. The default value is 2.

Data Types: double

## Object Functions

 analyze Analyze RFCKT object in frequency domain calculate Calculate specified parameters for rfckt objects or rfdata objects circle Draw circles on Smith Chart extract Extract specified network parameters from rfckt object or data object listformat List valid formats for specified circuit object parameter listparam List valid parameters for specified circuit object loglog Plot specified circuit object parameters using log-log scale plot Plot circuit object parameters on X-Y plane plotyy Plot parameters of RF circuit or RF data on X-Y plane with two Y-axes getop Display operating conditions polar Plot specified object parameters on polar coordinates semilogx Plot RF circuit object parameters using log scale for x-axis semilogy Plot RF circuit object parameters using log scale for y-axis smith Plot circuit object parameters on Smith chart write Write RF data from circuit or data object to file getz0 Calculate characteristic impedance of RFCKT transmission line object read Read RF data from file to new or existing circuit or data object restore Restore data to original frequencies getop Display operating conditions groupdelay Group delay of S-parameter object or RF filter object or RF Toolbox circuit object

## Examples

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Create hybrid connected networks of linear RF objects with two transmission line objects using rfckt.hybrid.

tx1 = rfckt.txline;
tx2 = rfckt.txline;
hyb = rfckt.hybrid('Ckts',{tx1,tx2})
hyb =
rfckt.hybrid with properties:

Ckts: {[1x1 rfckt.txline]  [1x1 rfckt.txline]}
nPort: 2
AnalyzedResult: []
Name: 'Hybrid Connected Network'

## Algorithms

The analyze method computes the S-parameters of the AnalyzedResult property using the data stored in the Ckts property as follows:

• The analyze method first calculates the h matrix of the hybrid network. It starts by converting each component network parameters to an h matrix. The following figure shows a hybrid connected network consisting of two 2-port networks, each represented by its h matrix,

where

$\begin{array}{l}\left[{h}^{\prime }\right]=\left[\begin{array}{cc}{h}_{11}{}^{\prime }& {h}_{12}{}^{\prime }\\ {h}_{21}{}^{\prime }& {h}_{22}{}^{\prime }\end{array}\right]\\ \left[{h}^{″}\right]=\left[\begin{array}{cc}{h}_{11}{}^{\prime \text{​}\prime }& {h}_{12}{}^{\prime \text{​}\prime }\\ {h}_{21}{}^{\prime \text{​}\prime }& {h}_{22}{}^{\prime \text{​}\prime }\end{array}\right]\end{array}$

• The analyze method then calculates the h matrix for the hybrid network by calculating the sum of the h matrices of the individual networks. The following equation illustrates the calculations for two 2-port networks.

$\left[h\right]=\left[\begin{array}{cc}{h}_{11}{}^{\prime }+{h}_{11}{}^{\prime \text{​}\prime }& {h}_{12}{}^{\prime }+{h}_{12}{}^{\prime \text{​}\prime }\\ {h}_{21}{}^{\prime }+{h}_{21}{}^{\prime \text{​}\prime }& {h}_{22}{}^{\prime }+{h}_{22}{}^{\prime \text{​}\prime }\end{array}\right]$

• Finally, analyze converts the h matrix of the hybrid network to S-parameters at the frequencies specified in the analyze input argument freq.

## References

[1] Ludwig, R. and P. Bretchko, RF Circuit Design: Theory and Applications, Prentice-Hall, 2000.

## Version History

Introduced before R2006a