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Design Filter

Design a digital filter or implement a System object in the Live Editor

Since R2021b

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Description

Design Filter helps you design a digital filter interactively. The task automatically generates MATLAB® code to design a filter using the digitalFilter object. If you have installed DSP System Toolbox™, the task can generate MATLAB code to design and implement a filter using the dsp.FIRFilter and the dsp.SOSFilter objects. These System objects filter streaming signals. (since R2023b)

To get started, select a filter response. The task offers controls to specify filter parameters that depend on the type of filter response. The filter parameters that you can specify include:

  • Filter order

  • Frequency constraints

  • Magnitude constraints

  • Design method

  • Implementation parameters (since R2023b)

Select from a list of display options to visualize the generated filter response and additional filter information. For a detailed description of the filter constraints, design methods, and design method parameters, see the designfilt documentation.

For more information about Live Editor tasks, see Add Interactive Tasks to a Live Script.

Design Filter Live Editor task showing the lowpass FIR filter response

Open the Task

To add the Design Filter task to a live script in the MATLAB Editor:

  • On the Live Editor tab, select Design Filter.

  • In a code block in the script, type a relevant keyword, such as designfilt, filter, or lowpass. Select Design Filter from the suggested command completions.

Examples

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Since R2023b

Open Live Script

This example shows how to use the Design Filter task in the Live Editor to generate code for a Butterworth highpass IIR digital filter. The task helps you interactively design a digital filter, displays the filter response, and generates code.

Input Signal

The input is a sinusoidal signal with frequencies at 1 kHz and 15 kHz. Create two dsp.SineWave objects, one to generate the 1 kHz sine wave, and the other to generate the 15 kHz sine wave. Initialize the spectrumAnalyzer object to visualize the spectrum of the input signal and the filtered signal.

Fs = 44.1e3;
sine1 = dsp.SineWave(Frequency=1e3,SamplesPerFrame=1024,SampleRate=Fs);
sine2 = dsp.SineWave(Frequency=15e3,SamplesPerFrame=1024,SampleRate=Fs);
spectrumScope = spectrumAnalyzer(SampleRate=Fs,PlotAsTwoSidedSpectrum=false,...
    ChannelNames=["Input Signal","Filtered Signal"]);

Design Butterworth Highpass IIR Filter

Interactively design a filter to remove the tone at 1 kHz. In the Live Editor tab, expand the Task list and select Design Filter to open the task.

Select a Highpass IIR filter and specify Minimum order mode. Set the filter name as hpIIRFilter.

In the Specify frequency parameters section, specify these parameters:

  • Frequency units as Hz

  • Sample rate to 44.1e3 Hz

  • Stopband frequency to 3e3 Hz

  • Passband frequency to 8e3 Hz

In the Specify magnitude parameters section, set Stopband attenuation (dB) to 60 dB and Passband ripple (dB) to 1 dB.

In the Specify algorithm section, select Butterworth for the Design method parameter. Under Specify algorithm options, specify the design to match exactly in the Stopband region.

In the Specify implementation parameters section, select the Use a System object to implement filter parameter. This setting generates a dsp.SOSFilter for IIR filter responses.

In the Display filter response section, select Magnitude & phase to visualize the designed filter response.

Click the arrow below the Show code section to show the generated code for the designed filter. You can copy and paste the code to the command line to edit the filter design specifications manually.

hpIIRFilter = designfilt('highpassiir',...
    'StopbandFrequency',3000,'PassbandFrequency',8000,...
    'StopbandAttenuation',60,'PassbandRipple',1,...
    'SampleRate',44100,'SystemObject',true)
hpIIRFilter = 
  dsp.SOSFilter with properties:

            Structure: 'Direct form II'
    CoefficientSource: 'Property'
            Numerator: [4x3 double]
          Denominator: [4x3 double]
       HasScaleValues: true
          ScaleValues: [0.6823 0.5444 0.4715 0.4397 1]

  Use get to show all properties

Stream in 1000 frames of a sinusoidal signal and apply the designed filter to the signal. Visualize the spectrum of the sinusoidal signal and the filtered signal. The designed highpass IIR filter attenuates the 1 kHz tone and passes the 15 kHz tone unaffected.

for i = 1:1000
    input = sine1()+sine2();
    output = hpIIRFilter(input);
    spectrumScope(input,output);
end

Parameters

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Choose the filter response type as one of these:

  • Lowpass FIR

  • Lowpass IIR

  • Highpass FIR

  • Highpass IIR

  • Bandpass FIR

  • Bandpass IIR

  • Bandstop FIR

  • Bandstop IIR

  • Hilbert FIR

  • Differentiator FIR

For more information, see resp.

Design a minimum order filter or specify a filter order. Some responses might not have a minimum order design available and will require you to specify a filter order value.

For more information, see Filter Order.

Specify the frequencies at which the designed filter exhibits a desired behavior. Available options depend on filter response type and filter order.

For more information, see Frequency Constraints.

Choose the filter magnitude response behavior at the specified frequency ranges. Available options depend on filter response type, filter order, and frequency constraints.

For more information, see Magnitude Constraints.

Specify the algorithm used to design the filter. Available options depend on filter response type, filter order, and frequency and magnitude constraints. Some design methods have additional options available in the Design options section.

Note

In some design cases, there are model order restrictions. If an even or odd restriction exists for the selected design method and the specified order is not valid, the task reduces the order by one.

For more information, see Design Method.

Since R2023b

Select this parameter to generate a dsp.FIRFilter System object for the FIR filter designs and a dsp.SOSFilter System object for the IIR filter designs.

For more information, see Implementation.

Dependencies

To enable this parameter, you must install DSP System Toolbox and select one of these filter responses:

  • Lowpass FIR

  • Highpass FIR

  • Bandpass FIR (since R2024a)

  • Bandstop FIR (since R2024a)

  • Lowpass IIR

  • Highpass IIR

  • Bandpass IIR (since R2024a)

  • Bandstop IIR (since R2024a)

Tips

  • You can enable or disable the autorun option by selecting or clearing the Autorun checkbox in the top right corner of the task window. If you enable autorun, the current section including the task runs automatically when you make a change.

References

[1] Moody, G.B., and R.G. Mark. "The Impact of the MIT-BIH Arrhythmia Database". IEEE Eng in Med and Biol 20(3):45-50 (May-June 2001): 45-50.

Version History

Introduced in R2021b

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See Also

Functions