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


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

Get Academic Press Library in Signal Processing now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.