## SimRF |

This example shows how to use blocks from the SimRF™ Circuit Envelope library to simulate a transmit/receive duplex filter and calculate frequency response curves from a broadband white-noise input. Blocks from the DSP System Toolbox™ libraries generate the input signal, process the output signal, and display the results.

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Calculating a Transfer Function Using a Broadband White Noise Source |

The system consists of:

A DSP System Toolbox Random Source block, which generates broadband white noise.

Inport and Resistor blocks from the SimRF circuit envelope library, which model a controlled voltage source with internal impedance.

An input matching network, which maximizes the power of the signal received by the filters.

Duplexed transmit and receive filters, composed of circuit envelope blocks from the SimRF Elements sublibrary. The center frequencies of the filters are 1.954 GHz and 1.848 GHz, and the bandwidths are 27 MHz and 18 MHz, respectively. The receive filter is shown in the figure below.

Two Outports acting as voltage sensors, measuring the voltage across two load resistors.

The Frequency Response Calculator subsystem, which computes the voltage transfer functions.

A DSP System Toolbox Vector Scope, which displays the frequency response curves.

Block parameters in this example are specified by variables stored in the model workspace. To alter the model workspace, select **View** > **Model Explorer** and click on the Model Workspace node for this model in the Model Hierarchy pane.

Type

`open_system('simrfV2_duplexer')`at the Command Window prompt.Select

**Simulation**>**Run**.

The Vector Scope displays the envelope voltage transfer functions of the two filters. Duplexing is evident in the frequency response of the two filters. The frequency values along the
-axis are relative to the RF carrier. To compute the absolute frequencies, add the value of the **Carrier frequencies** parameter of the Inport block to the frequencies shown.

**Calculating a Transfer Function Using a Broadband White Noise Source**

The Frequency Response Calculator subsystem processes the Simulink® signals converted from the SimRF environment at the Outport blocks. Within this subsystem, two Compute Transfer Function subsystems correlate the outputs to the input signal.

The Compute Transfer Function subsystems operate on discrete signals. To configure the SimRF circuit envelope environment for discrete-time simulation:

In the Configuration block dialog, select

`Auto`from the**Solver**drop-down menu, and specify the**Step size**parameter. Within the SimRF circuit envelope environment, the local solver overrides the solver options specified in the Configuration Parameters dialog box.Use a continuous source, or use a discrete source with a sample time equal to the value specified in the Configuration block. In this example, the

**Sample mode**parameter of the Random Source block is`Continuous`.