FUNDAMENTALS AND LITERATURE REVIEW OF

WAVELET TRANSFORM IN POWER QUALITY ISSUES

Realizado por:

Oscar Gomez

C.I. 23770555

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.

Continuous wavelet transform

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

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

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”.