2. UNLIKE FT, CWT POSSESSES THE ABILITY TO CONSTRUCT A TIME-
FREQUENCY REPRESENTATION OF A SIGNAL THAT OFFERS VERY GOOD
TIME AND FREQUENCY LOCALIZATION. IN OTHER WORDS, CWT IS
USED TO DIVIDE A CONTINUOUS-TIME FUNCTION INTO THE EQUAL-
TIME INTERVALS AND EQUAL-FREQUENCY INTERVALS.
3. Have the Daubechies wavelets
compact support, orthogonality and
regularity conditions. These
properties are to be required in
constructing the scaling function, if
the accuracy is Desired. HENCE, the
mother wavelet and all children can be
approximated as well.
Daubechies Wavelet
4. Many transforms have been devised by engineers and
mathematicians such as the Laplace transform, the Hilbert
transform, Z-transform and FT. However, FT is the most popular
among these transforms. It presents lots of limitations in many
areas of study.
Advantages and disadvantages
of wt with fft
5. Identifications and clarifications, exemplifications or additions:
(Review of the literature on wavelet transform power quality
issues)
Recent studies related to the WT are summarized survey of the
literature on:
DQ algorithm key conventional synchronous-frame is changed in
filtering process (Firouzjah et al., 2009). As an improvement, the low
pass filter to Fourier basis is replaced by a wavelet method windows.
The main idea of this theme is "Fundamentals and
literature review of wavelet transform in power quality
issues, the wavelet transform”.
