# Shunt RLC

Model shunt RLC network

• Library:
• RF Blockset / Equivalent Baseband / Series / Shunt RLC

## Description

The Shunt RLC block models the shunt RLC network described in the block dialog box, in terms of its frequency-dependent S-parameters.

For the given resistance, inductance, and capacitance, the block first calculates the ABCD-parameters at each frequency contained in the vector of modeling frequencies, and then converts the ABCD-parameters to S-parameters using the RF Toolbox™ `abcd2s` function. See the Output Port block reference page for information about determining the modeling frequencies.

For this circuit, A = 1, B = 0, C = Y, and D = 1, where

`$Y=\frac{-LC{\omega }^{2}+j\left(L/R\right)\omega +1}{jL\omega }$`

and $\omega =2\pi f$.

The shunt RLC object is a two-port network as shown in the following circuit diagram.

## Parameters

expand all

### Main

Scalar value for the resistance. The value must be non-negative.

Scalar value for the inductance. The value must be non-negative.

Scalar value for the capacitance. The value must be non-negative.

### Visualization

When Source of frequency data is `User-specified`, specify as a vector of frequencies in the Frequency data parameter.

Frequency data range, specified as a vector in hertz.

#### Dependencies

To set this parameter, first select `User-specified` in Source of amplifier gain. This selection activates the Visualization Tab which contains Source of frequency data

Reference impedance of the coaxial transmission line, specified as a scalar in ohms.

Type of data plot that you want to produce with your data specified as :

• `X-Y plane` — Generate a Cartesian plot of your data versus frequency. To create linear, semi-log, or log-log plots, set the Y scale and X scale accordingly.

• `Composite data`—The composite data plot automatically generates four separate plots in one figure window, showing the frequency dependence of several parameters.

• `Polar plane` — Generate a polar plot of your data. The block plots only the range of data corresponding to the specified frequencies.

• `Z Smith chart`, ```Y Smith chart```, and ```ZY Smith chart``` — Generate a Smith® chart of your data. The block plots only the range of data corresponding to the specified frequencies.

Type of parameters to plot, specified as one of the following `S11`, `S12`, `S21`, `S22`, `GroupDelay`, `GammaIn`, `GammaOut`, `VSWRIn`, `VSWROut`, `OIP3`, `IIP3`, `TF1`, `TF2`, `TF3`, `Gt`, `Ga`, `Gp`, `Gmag`, `Gmsg`, `GammaMS`, `GammaML`, `K`, `Delta`, `Mu` or `MuPrime`. When noise is spectral `NF`, `NFactor` and `NTemp` plotting is possible.

Type of parameters to plot, specified as one of the following `S11`, `S12`, `S21`, `S22`, `GroupDelay`, `GammaIn`, `GammaOut`, `VSWRIn`, `VSWROut`, `OIP3`, `IIP3`, `TF1`, `TF2`, `TF3`, `Gt`, `Ga`, `Gp`, `Gmag`, `Gmsg`, `GammaMS`, `GammaML`, `K`, `Delta`, `Mu` or `MuPrime`. When noise is spectral `NF`, `NFactor` and `NTemp` plotting is possible.

Plot format, specified as one of the following ```Magnitude (decibels)```, `Angle (degrees)`, `Real`, or `Imaginary`.

Plot format, specified as one of the following ```Magnitude (decibels)```, `Angle(degrees)`, `Real`, or `Imaginary`.

Parameter, specified as `Freq`. This parameter determines the data for x-axes on the X-Y plane plot.

Plot format, specified as one of the following `Hz`, `Auto`, `KHz`, `MHz`, `GHz` or `THz`.

Y-axis scale, specified as `Linear` or `Log`.

X-axis scale, specified as `Linear` or `Log`.

Plot the specified data using the plot button.