It is important to realise that this node makes a critical simplification: It only performs the selection based on the mean vector of all the rows in the original data matrix X[1]. The reason for this is to save time. An obvious extention to this routine will be to check for reconstruction of all rows in X.
The routine performs the fast wavelet transform on the mean vector of X and checks the following wavelets (the vanishing moments are indicated in parenthesis, using Matlab like notation1):