Loading...
conference paper
Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization
2008
2008 Ieee International Conference On Acoustics, Speech And Signal Processing
We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthogonal wavelet bases of L-2 (R) can be constructed using well-localized scaling functions with identical Riesz bounds. Finally, we illustrate this concept by constructing a family of analytic Gabor-like wavelets that exhibit near optimal time-frequency localization.
Type
conference paper
Web of Science ID
WOS:000257456702142
Authors
Publication date
2008
Published in
2008 Ieee International Conference On Acoustics, Speech And Signal Processing
Start page
3277
End page
3280
Peer reviewed
REVIEWED
EPFL units
Event name | Event place | Event date |
Las Vegas, NV | Mar 30-Apr 04, 2008 | |
Available on Infoscience
November 30, 2010
Use this identifier to reference this record