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By establishing an equivalence between the discrete parameter (DP) wavelet transform and the multiresolution analysis (MRA) detail coefficients, a simple derivation of the two-scale wavelet equations is given. MRA computes the DP of a signal s(t) only if the MRA inputs s(n) are samples of the inner product of s(t) and the scaling function. This is seldom true in practice. A prefiltering of s(n), as an approximate initialization, is necessary to make the MRA detail coefficients closer to the DP coefficients. A new prefiltering scheme is proposed and shown to be effective in an example
Published in:
Signal Processing, IEEE Transactions on
(Volume:44
,
Issue:
4
)
Date of Publication: Apr 1996
- Page(s):
- 1001 - 1006
- ISSN :
- 1053-587X
- INSPEC Accession Number:
- 5278997
- Digital Object Identifier :
- 10.1109/78.492556
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Apr 1996
- Sponsored by :
- IEEE Signal Processing Society
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