Wavelet Toolbox | ![]() ![]() |
Discussion
Regularity can be an important criterion in selecting a wavelet. We have chosen to use db4
, which is sufficiently regular for this analysis. Had we chosen the haar
wavelet, the discontinuity would not have been detected. If you try repeating this analysis using haar
at level two, you'll notice that the details are equal to zero at time = 500.
Note that to detect a singularity, the selected wavelet must be sufficiently regular, which implies a longer filter impulse response.
See the sections Frequently Asked Questions and Wavelet Families: Additional Discussion for a discussion of the mathematical meaning of regularity and a comparison of the regularity of various wavelets.
![]() | Detecting Discontinuities and Breakdown Points II | Detecting Long-Term Evolution | ![]() |