# Documentation

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# rfckt.parallel

Parallel connected network

## Description

Use the parallel class to represent networks of linear RF objects connected in parallel that are characterized by the components that make up the network. The following figure shows a pair of networks in a parallel configuration.

## Creation

### Syntax

h = rfckt.parallel
h = rfckt.parallel('Property1',value1,'Property2',value2,...)

### Description

example

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

h = rfckt.parallel('Property1',value1,'Property2',value2,...) sets properties using one or more name-value pairs. You can specify multiple name-value pairs. Enclose each property name in a quote

## Properties

expand all

Computed S-parameters, noise figure, OIP3, and group delay values, specified as rfdata.data object. Analyzed Result is a read-only property. For more information refer, 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 an 1-by-N character array. Name is a read-only property.

Data Types: char

Number of ports, specified as a positive integer. nportt is a read-only property. The default value is 2.

Data Types: double

## Object Functions

 analyze Analyze circuit object in frequency domain calculate Calculate specified parameters for circuit object circle Draw circles on Smith chart 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 specified circuit object parameters on X-Y plane plotyy Plot specified object parameters with y-axes on both left and right sides polar Plot specified circuit object parameters on polar coordinates semilogx Plot specified circuit object parameters using log scale for x-axis semilogy Plot specified circuit object parameters using log scale for y-axis smith Plot specified circuit object parameters on Smith chart write Write RF data from circuit or data object to file

## Examples

expand all

Create a network of tranmission lines connected in parallel using rfckt.parallel.

tx1 = rfckt.txline;
tx2 = rfckt.txline;
rfplel = rfckt.parallel('Ckts',{tx1,tx2})
rfplel =

rfckt.parallel with properties:

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

## Algorithms

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

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

where

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

2. The analyze method then calculates the admittance matrix for the parallel network by calculating the sum of the individual admittances. The following equation illustrates the calculations for two 2-port circuits.

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

3. Finally, analyze converts the admittance matrix of the parallel 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.