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How to know which wavelet is most suitable for denoising?

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I have a digital signal that i wish to de-noise. after googling, wavelet is the highly recommended technique to remove noise from signal
by typing 'wavemenu' in the command prompt, a GUI menu appear and i used the "wavelet 1-d"
What confuses me is that there are so many types of wavelet to used. every type have their own variation and level.
i observe that by increasing the level, the signal gets cleaner, but further increasing it will cause it to lose its original shape.
how can i know which wavelet, and what level is the most suitable for denoising a signal?

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