How to create a noisy signal for wavelet transform practice?

I was trying the Wavelet toolbox; wherein they have the file 'noisysig.mat'. It contains three variables s1, s2 and x.

I understand that these contain the normal and the noisy signal but I wish to know how to create such noisy signals so that I can practice denoising with some other signals. How do I do that?

matlab , signal , signal processing

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