A low pass filter is a term that is among the basics of signal processing and is used quite often to filter signals to get more accurate results.
This tutorial will discuss the low-pass filter and how to create and implement it in Python.
A low-pass filter is utilized to pass a signal that has a frequency lower than the cut-off frequency, which holds a certain value specified by the user. All the signals with frequencies more than the cut-off frequency enervated.
Scipy to Create a Low-Pass Butterworth Filter in Python
In Python, we can utilize functions from the
SciPy library to create a low-pass filter.
SciPy, an abbreviation for Scientific Python, is a library that is utilized for supplying functions that carry out signal processing, optimization, and statistics. This library also uses the
NumPy library underneath.
There are a couple of low-pass filters that exist in the real world. However, we will create a Butterworth low-pass filter in Python, as it has a maximally flat frequency, meaning no ripples in the passband. This makes it one of the most popular and used low-pass filters.
To successfully implement this method in Python, we will first need to import
Matplotlib modules to the python code.
The following code uses the
SciPy module to create a low-pass Butterworth filter in Python.
import numpy as np from scipy.signal import butter, lfilter, freqz import matplotlib.pyplot as plt def butter_lowpass(cutoff, fs, order=5): nyq = 0.5 * fs normal_cutoff = cutoff / nyq b, a = butter(order, normal_cutoff, btype='low', analog=False) return b, a def butter_lowpass_filter(data, cutoff, fs, order=5): b, a = butter_lowpass(cutoff, fs, order=order) y = lfilter(b, a, data) return y # Setting standard filter requirements. order = 6 fs = 30.0 cutoff = 3.667 b, a = butter_lowpass(cutoff, fs, order) # Plotting the frequency response. w, h = freqz(b, a, worN=8000) plt.subplot(2, 1, 1) plt.plot(0.5*fs*w/np.pi, np.abs(h), 'b') plt.plot(cutoff, 0.5*np.sqrt(2), 'ko') plt.axvline(cutoff, color='k') plt.xlim(0, 0.5*fs) plt.title("Lowpass Filter Frequency Response") plt.xlabel('Frequency [Hz]') plt.grid() # Creating the data for filteration T = 5.0 # value taken in seconds n = int(T * fs) # indicates total samples t = np.linspace(0, T, n, endpoint=False) data = np.sin(1.2*2*np.pi*t) + 1.5*np.cos(9*2*np.pi*t) + 0.5*np.sin(12.0*2*np.pi*t) # Filtering and plotting y = butter_lowpass_filter(data, cutoff, fs, order) plt.subplot(2, 1, 2) plt.plot(t, data, 'b-', label='data') plt.plot(t, y, 'g-', linewidth=2, label='filtered data') plt.xlabel('Time [sec]') plt.grid() plt.legend() plt.subplots_adjust(hspace=0.35) plt.show()