python import numpy as np from scipy import signal t = np.linspace(0, 1, 1000, endpoint=False) x = np.sin(2 * np.pi * 5 * t) noise = np.random.normal(0, 1, 1000) x += noise b, a = signal.butter(4, 0.1, 'low') filtered_signal = signal.lfilter(b, a, x) import matplotlib.pyplot as plt plt.figure() plt.subplot(2, 1, 1) plt.plot(t, x) plt.title('Original Signal') plt.subplot(2, 1, 2) plt.plot(t, filtered_signal) plt.title('Filtered Signal') plt.tight_layout() plt.show() pip install scipy python from scipy import module_name