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What is the importance of the translational invariance of the CWT?
Translational invariance is a property that the continuous wavelet transform (CWT) has but the discrete wavelet transform (DWT) does not have. It says that a shift of the signal, i.e. $x(t)\rightarrow ...
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wavelet_transform
I have a signal
$$Y=f(t),$$
which I want to show the anomalies, using the wavelets transform.
I don't know if I use the CWT or the DWT and which mother wavelet could I use?