Butterworth highpass filter frequency response

Butterworth highpass filter frequency response calculator can be used to calculate the frequency response of a Butterworth highpass filter based on the order of the filter and the cutoff frequency.

Input Parameters

Calculation Results

Calculation Formula

The magnitude response of a Butterworth highpass filter is given by:

H(jω) = 1 / sqrt(1 + (f_c / f)^{2n})
Where:
H(jω) is the frequency response
f_c is the cutoff frequency
f is the frequency
n is the filter order

Butterworth highpass filter frequency response Calculator Usage Guide

Learn how to use the Butterworth highpass filter frequency response calculator and its working principles

How to Use the Calculator

  1. Enter the filter order (n) in the "Filter Order" field. The order determines the sharpness of the filter's roll-off.
  2. Enter the cutoff frequency (f_c) in the "Cutoff Frequency (Hz)" field. This is the frequency at which the filter starts to attenuate signals.
  3. Click the "Calculate" button to compute the frequency response of the Butterworth highpass filter.
  4. The magnitude response will be displayed in the "Magnitude Response" field, showing the filter's response at various frequencies.

Working Principle

The Butterworth highpass filter is a type of low-pass filter that has been "flipped" to pass high frequencies and block low frequencies. The magnitude response of a Butterworth filter is maximally flat at zero frequency and rolls off at -20n dB/decade after the cutoff frequency, where n is the filter order.

Applications

Butterworth highpass filters are used in various applications such as audio processing, signal conditioning, and communication systems to remove low-frequency noise or to pass high-frequency signals while attenuating low-frequency signals.