# Offline Frequency Response Estimation

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Simulink Control Design™ software has both command-line tools and a graphical Model Linearizer app for estimating the frequency response of a system modeled in Simulink, without modifying the model. You can use the estimated response to validate exact linearization results, analyze linear model dynamics, or estimate parametric models. For more information about frequency response estimation, see Frequency Response Estimation Basics.

Frequency response estimation requires an input signal at the linearization input point to excite the model at the frequencies of interest. For more information, see Estimation Input Signals.

## Graphical Tools

Model Linearizer | Linearize Simulink models |

Linearization Manager | Manage linear analysis points and block linearizations |

## Functions

## Blocks

PRBS Signal Generator | Generate PRBS input signal for plant frequency response estimation (Since R2024a) |

Sinestream Signal Generator | Generate sinestream input signal for plant frequency response
estimation (Since R2024a) |

Start-Stop Generator | Generate start-stop signal used by signal generation, estimation, and autotuning
blocks (Since R2024a) |

## Topics

### Frequency Response Estimation Basics

**Frequency Response Estimation Basics**

A frequency response describes the steady-state response of a system to sinusoidal inputs. Simulink Control Design lets you estimate the frequency response of a model or perform online estimation of a physical plant.

**Analyze Estimated Frequency Response**

When you perform frequency response estimation, you can analyze the result by examining the raw simulated response and the FFT used to convert it to an estimated frequency response.

### Estimation Input Signals

**Estimation Input Signals**

For frequency response estimation, the software injects an input signal and measures the response. You can use predefined signal types such as sinestream or chirp signals, or create an arbitrary input signal.

### Estimation Using Signal Generation Blocks

**Use Sinestream Signal Generator Block for Offline Frequency Response Estimation**

Estimate frequency responses offline using the Sinestream Signal Generator block.*(Since R2024a)***Generate PRBS Input Signals Using PRBS Signal Generator Block**

Estimate frequency responses offline using the PRBS Signal Generator block.*(Since R2024a)***Use Start-Stop Generator and PRBS Signal Generator Blocks for Estimation at Multiple Operating Points**

Perform frequency response estimation at multiple operating points using Start-Stop Generator and PRBS Signal Generator blocks.*(Since R2024a)***Measure Boost Converter Output Impedance Using Signal Generator Blocks**

Use the Sinestream Signal Generator and PRBS Signal Generator blocks to create input signals to measure the output impedance of a boost converter through an offline frequency response estimation experiment.*(Since R2024a)*

### Noise and Time-Varying Inputs

**Disable Noise Sources During Frequency Response Estimation**

Noise sources can interfere with the signals at the linearization output points and produce inaccurate estimation results.**Estimate Frequency Response Models with Noise Using Signal Processing Toolbox**

You can also estimate a frequency response model using Signal Processing Toolbox™ software, which includes windowing and averaging.**Estimate Frequency Response Models with Noise Using System Identification Toolbox**

You can also estimate a frequency response model using System Identification Toolbox™ software.**Effects of Time-Varying Source Blocks on Frequency Response Estimation**

Time-varying source blocks drive the model away from the operating point of the linearized system, which prevents the response from reaching steady state.

### Validation of Linearization

**Validate Linearization In Frequency Domain Using Model Linearizer**

You can assess the accuracy of your linearization results by estimating the frequency response of the nonlinear model and comparing the result with the response of the linearized model.**Validate Linearization in Frequency Domain at Command Line**

You can assess the accuracy of your linearization results at the command line by estimating the frequency response of the nonlinear model.**Validate Linearization in Time Domain**

You can assess the accuracy of your linearization results by comparing the simulated output of the nonlinear model and the linearized model.

### Code Generation

**Generate MATLAB Code for Repeated or Batch Frequency Response Estimation**

Generate MATLAB^{®}scripts or functions for frequency response estimation using the Model Linearizer.

### Troubleshooting

**Managing Estimation Speed and Memory**

Improve frequency response estimation performance by reducing estimation time and memory requirements.

**Troubleshooting Frequency Response Estimation**

If your estimated frequency response does not match the expected behavior of your system, you can use the time-domain and frequency-domain response plots to help improve the results.