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np.sin(2*np.pi*freq*t) freq = 7 x += 0.5* np.sin(2*np.pi*freq*t) plt.figure(figsize = (8, 6)) plt.plot(t, x, 'r') plt.ylabel('Amplitude') plt.show() The signal is identical to the previous recursive example. We will now use the fft and ifft functions from numpy to calculate the FFT amplitude