The filter output of the low-pass filter in the diagram above is then subsampled by 2 and further processed by passing it again through a new low-pass filter and a high- pass filter with half the cut-off frequency of the previous one, i.e.:

:
:

This decomposition has halved the time resolution since only half of each filter output characterises the signal. However, each output has half the frequency band of the input, so the frequency resolution has been doubled.

With the

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