Proposition 6

On a discrete scale, the two windows,imageandimageselected above, satisfy the following admissibility conditions,

image (9.58)

image (9.59)

The proof of the proposition only needs to be shown in the overlapped regions between two adjacent windows; for example, for , when , we have

(9.60)

Refer to [85] for details of the proof for a different set of ...

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