Wavelet packet transform and joint best-basis

3 Wavelet packet transform and joint best-basis 

It is also possible to apply a filter F to decompose all m signals, using the Wavelet Packet Transform (WPT). For each signal, a matrix is obtained that contains the wavelets coefficients (see Fig. 6). Element denotes the ith wavelet coefficient at the jth level in the r band of the kth signal decomposition. 

If the best-basis selection algorithm with the entropy criterion is applied to individual signals decomposed by WPT, the following situations can occur  

The first case occurs, when the data set contains very similar signals, which can happen in calibration or pattern recognition situations. In this case all 

WPT decompositions tables j best-basis and best-bases 

---