Butterworth Low Pass Filter Design Calculator

Butterworth Low Pass Filter Design Calculator




Butterworth low pass filters are essential in signal processing, ensuring smooth transitions between frequencies. Our calculator simplifies the design process, making it accessible to all.

  1. Enter the cutoff frequency (fc), sampling frequency (fs), and passband ripple (dB).
  2. Click ‘Calculate’.
  3. View results and filter characteristics.

The calculator uses the Butterworth filter transfer function and applies the bilinear transform for digital implementation.

fcfsRippleNNormalized Cutoff
100040000.550.25
fcfsRippleNMagnitude Response (dB)
100040000.55-3.01
  • Higher order filters (N) provide better attenuation but increase complexity.
  • Choose fs at least twice fc for proper filter operation.
What is the difference between Butterworth and Chebyshev filters?

Butterworth filters have a maximally flat response in the passband, while Chebyshev filters offer sharper cutoffs at the expense of slight ripples in the passband.

Butterworth Low Pass Filter Response Digital Filter Implementation

Learn more about Butterworth filters

Wikipedia: Butterworth Filter

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