In this article, we are going to discuss how to design a Digital High Pass Butterworth Filter using Python. The Butterworth filter is a type of signal processing filter designed to have a frequency response as flat as possible in the pass band. Let us take the below specifications to design the filter and observe the Magnitude, Phase & Impulse Response of the Digital Butterworth Filter.
What is a High Pass Filter?
A high-pass filter is an electronic filter that passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with frequencies lower than the cutoff frequency. The attenuation for each frequency depends on the filter design.
Difference between a Digital High Pass Filter & Digital Low Pass Filter:
The most striking difference is in the amplitude response of the filters, we can clearly observe that in case of High Pass Filter the filter passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with frequencies lower than the cutoff frequency while in case of Low Pass Filter the filter passes signals with a frequency lower than a certain cutoff frequency and attenuates all signals with frequencies higher than the specified cutoff value.
The specifications are as follows:
- Sampling rate of 3.5 kHz
- Pass band edge frequency of 1050 Hz
- Stop band edge frequency of 600Hz
- Pass band ripple of 1 dB
- Minimum stop band attenuation of 50 dB
We will plot the magnitude, phase, and impulse response of the filter.
Step 1: Importing all the necessary libraries.
Step 2: Define variables with the given specifications of the filter.
Step3: Building the filter using signal.buttord() method.
Step 4: Plotting the Magnitude Response.
Step 5: Plotting the Impulse Response.
Step 6: Plotting the Phase Response.
Below is the complete program based on the above approach:
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