Write a Python code and it can run on Colab:

Create a original siganl and extract the two oscillatory components $($low$-$f and high$-$f$)$ using either thresholding or other filtering operations. After filtering the original signal into two, create a plot with both extracted components plotted as subfigures.

Next, add Gaussian noise of some variance to the signal and apply a filtering algorithm.

Next, write a function for evaluating the accuracy of the reconstruction approach $-$ this can be either in the frequency or time domain! Plot the accuracy of the method as a function of the amount of variance in the noise.