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32 IEEE SIGNAL PROCESSING LEPERS, VOL. 1, NO. 2, FEBRUARY 1994 On the Initialization of the Discrete
 

Summary: ~
32 IEEE SIGNAL PROCESSING LEPERS, VOL. 1, NO. 2, FEBRUARY 1994
On the Initialization of the Discrete
Wavelet Transform Algorithm
Patrice Abry and Patrick nand&
Abstruct- This letter shows that making use of the discrete
wavelet transform to analyse data implies performing a prelim-
inary initializationof the fast pyramidal algorithm. An approx-
imation enabling easy performance of such an initialization is
proposed.
I. MOTIVATION
IME-SCALEmethods have already proved relevant tools
Tin signal processing. In most cases, for data analysis,
one uses continuous wavelet transforms rather than a discrete
wavelet transform (DWT), which is usually used in coding.
However, we believe that, thanks to the fast pyramidal al-
gorithm and the minimum redundancy dyadic sampling, the
DWT is also an efficient tool when analysing experimental
data.
In this letter, our aim is to stress, via two simple examples,

  

Source: Abry, Patrice - Laboratoire de Physique, Ecole Normale Supérieure de Lyon

 

Collections: Engineering